MAGIC: Revealing Hidden Structures

• MAGIC is a polysemous term that denotes methods and devices engineered to reveal hidden structures across diverse fields like gamma-ray astronomy, optics, muography, quantum information, graph theory, and human-robot interaction.
• It unites applications from quantifying nonstabilizerness as a quantum resource to designing optical elements that project covert images via controlled wavefront transformations.
• By bridging indirect observables with practical measurements, MAGIC drives innovations in imaging, resource evaluation, and design strategies across science and technology.

to=arxiv_search.search 天天爱彩票提现json {"^^^^^^^^130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^^^^^" "^^^^^^^^130max_results130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^^^^^^^^^130,130 "^^^^^^^^130sort_by130 to=arxiv_search.search 彩票天天 重庆时时彩彩tring {"^^^^^^^^130results130 transition in measurement-only circuits"^^^^^^^^130,130 Wang"^^^^^^^^130,130 Song"^^^^^^^^130,130 Mao"^^^^^^^^130,130 Luo"^^^^^^^^130,130 Li"^^^^^^^^130,130 Zhou"]^^^^^^^^130,130 also known as nonstabilizerness^^^^^^^^130,130^^^^^^^^ quantifies the distance of a quantum state to the set of stabilizer states^^^^^^^^130,130^^^^^^^^ and it serves as a necessary resource for potential quantum advantage over classical computing. In this work^^^^^^^^130,130^^^^^^^^ we study magic in a measurement-only quantum circuit with competing types of Clifford and non-Clifford measurements^^^^^^^^130,130^^^^^^^^ where magic is injected through the non-Clifford measurements. This circuit can be mapped to a classical model that can be simulated efficiently^^^^^^^^130,130^^^^^^^^ and the magic can be characterized using any magic measure that is additive for tensor product of single-qubit states. Leveraging this observation^^^^^^^^130,130^^^^^^^^ we study the magic transition in this circuit in both one- and two-dimensional lattices using large-scale numerical simulations. Our ^^^^^^^^130results130^^^^^^^^ demonstrate the presence of a magic transition between two different phases with extensive magic scaling^^^^^^^^130,130^^^^^^^^ separated by a critical point in which the mutual magic exhibits scaling behavior analogous to entanglement. We further show that these two distinct phases can be distinguished by the topological magic. In a different regime^^^^^^^^130,130^^^^^^^^ with a vanishing rate of non-Clifford measurements^^^^^^^^130,130^^^^^^^^ we find that the magic saturates in both phases. Our work sheds light on the behavior of magic and its linear combinations in quantum circuits^^^^^^^^130,130^^^^^^^^ employing genuine magic measures."}^^^^^^^^130,130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&)"^^^^^^^^130,130 mutual magic and magic capacity with matrix product states"^^^^^^^^130,130 Haug"^^^^^^^^130,130 Piroli"]^^^^^^^^130,130 Renyi entropies (SREs) probe the non-stabilizerness (or magic) of many-body systems and quantum computers. Here^^^^^^^^130,130^^^^^^^^ we introduce the mutual von-Neumann SRE and magic capacity^^^^^^^^130,130^^^^^^^^ which can be efficiently computed in time O(Nχ^^^^130sort_by130^^^^) for matrix product states (MPSs) of bond dimension χ. We find that mutual SRE characterizes the critical point of ground states of the transverse-field Ising model^^^^^^^^130,130^^^^^^^^ independently of the chosen local basis. Then^^^^^^^^130,130^^^^^^^^ we relate the magic capacity to the anti-flatness of the Pauli spectrum^^^^^^^^130,130^^^^^^^^ which quantifies the complexity of computing SREs. The magic capacity characterizes transitions in the ground state of the Heisenberg and Ising model^^^^^^^^130,130^^^^^^^^ randomness of Clifford+T circuits^^^^^^^^130,130^^^^^^^^ and distinguishes typical and atypical states. Finally^^^^^^^^130,130^^^^^^^^ we make progress on numerical techniques^^^^^^^^130:130^^^^^^^^ we design two improved Monte-Carlo algorithms to compute the mutual ^^^^130max_results130^^^^-SRE overcoming limitations of previous approaches based on local update. We also give improved statevector simulation methods for Bell sampling and SREs with O(^^^^130,130^^^^N/^^^^130max_results130 time and O(^^^^130max_results130^^^^N) memory^^^^^^^^130,130^^^^^^^^ which we demonstrate for ^^^^130max_results130relevance130^^^^ qubits. Our work uncovers improved approaches to study the complexity of quantum many-body systems."}^^^^^^^^130,130 transfer in quantum spin chains"^^^^^^^^130,130 Lombardo"^^^^^^^^130,130 Silvi"^^^^^^^^130,130 Verrucchi"^^^^^^^^130,130 Degli Esposti Boschi"]^^^^^^^^130,130 communication protocols based on spin chains have been extensively studied^^^^^^^^130,130^^^^^^^^ yet their ability to transmit nonstabilizer resources has not been systematically addressed. We investigate the transport of quantum magic in spin chains through the natural dynamics of systems initialized in nonstabilizer states^^^^^^^^130,130^^^^^^^^ and quantify the transported resource via the stabilizer norm. We analyze three experimentally feasible state-transfer protocols^^^^^^^^130,130^^^^^^^^ ranging from noisy to (quasi-)perfect transfer^^^^^^^^130,130^^^^^^^^ including one realizable in trapped-ion platforms. We find that the geometry of the injected state strongly influences transport^^^^^^^^130:130^^^^^^^^ states in the lower Bloch hemisphere achieve higher transfer quality^^^^^^^^130,130^^^^^^^^ whereas states in the upper hemisphere give rise to an efficient magic transport only beyond a threshold value of the parameter controlling the tendency towards perfect transfer. These features are robust across all protocols and identify the Hamiltonian and state properties that favor high-quality transfer. Moreover^^^^^^^^130,130^^^^^^^^ we identify a parameter region^^^^^^^^130,130^^^^^^^^ relevant to the initial state preparation^^^^^^^^130,130^^^^^^^^ in which the transported magic exceeds the initial encoding^^^^^^^^130,130^^^^^^^^ indicating that such spin systems can act as magic-amplification channels. Our ^^^^^^^^130results130^^^^^^^^ establish the conditions for efficient transport of nonstabilizer resources and demonstrate quantum magic as a sensitive probe of quantum transport beyond population dynamics."}^^^^^^^^130,130 of quantum hypergraph states"^^^^^^^^130,130 Meng"^^^^^^^^130,130 Yang"^^^^^^^^130,130 Guan"^^^^^^^^130,130 Chitambar"^^^^^^^^130,130 Wang"]^^^^^^^^130,130 or nonstabilizerness^^^^^^^^130,130^^^^^^^^ characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However^^^^^^^^130,130^^^^^^^^ analytical or even numerical characterizations of magic are very challenging^^^^^^^^130,130^^^^^^^^ especially in the multi-qubit system^^^^^^^^130,130^^^^^^^^ even with a moderate qubit number. Here we systemically and analytically investigate the magic resource of archetypal multipartite quantum states -- quantum hypergraph states^^^^^^^^130,130^^^^^^^^ which can be generated by multi-qubit Controlled-phase gates encoded by hypergraphs. We first give the magic formula in terms of the stabilizer R^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^acute{e}nyi- AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^alpha entropies for general quantum hypergraph states and prove the magic can not reach the maximal value^^^^^^^^130,130^^^^^^^^ if the average degree of the corresponding hypergraph is constant. Then we investigate the statistical behaviors of random hypergraph states and prove the concentration result that typically random hypergraph states can reach the maximal magic. This also suggests an efficient way to generate maximal magic states with random diagonal circuits. Finally^^^^^^^^130,130^^^^^^^^ we study some highly symmetric hypergraph states with permutation-symmetry^^^^^^^^130,130^^^^^^^^ such as the one whose associated hypergraph is ^^^^130sort_by130^^^^-complete i.e.^^^^^^^^130,130^^^^^^^^ any three vertices are connected by a hyperedge. Counterintuitively^^^^^^^^130,130^^^^^^^^ such states can only possess constant or even exponentially small magic for ^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^alpha AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^geq ^^^^130max_results130^^^^. Our study advances the understanding of multipartite quantum magic and could lead to applications in quantum computing and quantum many-body physics."}^^^^^^^^130,130 of Magic States via Z Bosons and Dark Photons"^^^^^^^^130,130 M. Hofman"^^^^^^^^130,130 M. Leinaas"^^^^^^^^130,130 A. Sánchez-Burillo"^^^^^^^^130,130 S. Tame"^^^^^^^^130,130 D. León-Montiel"^^^^^^^^130,130 T. Quintino"^^^^^^^^130,130 del Campo"]^^^^^^^^130,130 production of magic states is studied in two settings. The first is the electroweak (EW) sector of the Standard Model (SM). The second is an extension featuring a new broken U(^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^) gauge symmetry and a Dirac fermion charged under it. This setup resembles a dark U(^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^) scenario^^^^^^^^130,130^^^^^^^^ with the additional fermion playing the role of a dark matter candidate that annihilates into SM particles through its coupling to the new gauge boson. In the EW sector^^^^^^^^130,130^^^^^^^^ the low-energy regime reproduces earlier magic production ^^^^^^^^130results130^^^^^^^^ obtained for Quantum Electrodynamics^^^^^^^^130,130^^^^^^^^ whereas the high-energy and Z-resonance regimes generate new magic distribution functions and non-trivially reorganize the stabilizer state classes^^^^^^^^130,130^^^^^^^^ with Bhabha scattering exhibiting the strongest sensitivity to electroweak effects. Also^^^^^^^^130,130^^^^^^^^ a subset of fixed stabilizer states is identified^^^^^^^^130,130^^^^^^^^ for which the magic distributions remain unchanged across the different energy regimes. In the dark sector^^^^^^^^130,130^^^^^^^^ the main effect of the new massive mediator is the appearance of new magic distributions functions for Moller-like^^^^^^^^130,130^^^^^^^^ Bhabha-like^^^^^^^^130,130^^^^^^^^ and inverse pair-annihilation processes in the low-energy limit. These reach the maximal magic value at the SM-to-dark fermion mass ratios mf/mχ→^^^^130query130^^^^ and mf/mχ→^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^.^^^^130,130sort_by130:[130max_results130:[130^^^^."} of the MAGIC Stereo System"^^^^^^^^130,130 Aleksić"^^^^^^^^130,130 Alvarez"^^^^^^^^130,130 Anderhub"^^^^^^^^130,130 A. Antonelli"^^^^^^^^130,130 Antoranz"^^^^^^^^130,130 Backes"^^^^^^^^130,130 Baittinger"^^^^^^^^130,130 A. Barrio"^^^^^^^^130,130 Bartko"^^^^^^^^130,130 Bastieri"^^^^^^^^130,130 al."]^^^^^^^^130,130 is a system of two Imaging Atmospheric Cherenkov Telescopes sensitive above ~^^^^130,130query130^^^^ GeV^^^^^^^^130,130^^^^^^^^ and located on the Canary Island of La Palma at the height of ^^^^130max_results130max_results130query130query130^^^^ m.a.s.l. Since Autumn ^^^^130max_results130query130query130:[130^^^^ both telescopes are working together in stereoscopic mode. We use both Crab Nebula observations and Monte Carlo simulations to evaluate the performance of the system. Advanced stereo analysis allows MAGIC to achieve a sensitivity better than ^^^^130query130^^^^.^^^^130,130 of the Crab Nebula flux in ^^^^130results130query130^^^^ h of observations in the medium energy range (around a few hundred GeV). At those energies the angular resolution is better than ^^^^130query130^^^^.^^^^130query130:130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^circ} and the energy resolution is as good as ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^%. We perform also a detailed study of possible systematics effects for the MAGIC telescopes."}^^^^^^^^130,130 field imaging by cosmic-ray muons (Magic-μ) -- First feasibility simulation for strong magnetic fields"^^^^^^^^130,130 Morishima"^^^^^^^^130,130 K. M. Tanaka"]^^^^^^^^130,130 have proposed a novel application for cosmic-ray muography^^^^^^^^130,130^^^^^^^^ called Magic-μ^^^^^^^^130,130^^^^^^^^ which is short for Magnetic field Imaging by Cosmic-ray Muons. The general goal of Magic-μ is to detect the presence of a magnetic field or magnetic flux density whose three-dimensional distribution is unknown. Depending on the application^^^^^^^^130,130^^^^^^^^ Magic-μ can have three detection modes. The first is ^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"magnetic field imaging^^^^^^^^130,130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" which is detecting the presence of a magnetic field in specific voxels within a region of space. The other two modes^^^^^^^^130,130^^^^^^^^ transmission and deflection^^^^^^^^130,130^^^^^^^^ aim not only to detect the presence but also to measure the flux density of the magnetic field. We have performed a feasibility study using the PHITS Monte Carlo simulation code^^^^^^^^130,130^^^^^^^^ for strong and weak magnetic fields. In this paper^^^^^^^^130,130^^^^^^^^ we first give an overview of the concept and basic principles of magnetic field muography. Then^^^^^^^^130,130^^^^^^^^ the ^^^^^^^^130results130^^^^^^^^ of the feasibility study on magnetic field imaging for a strong magnetic field (more than ^^^^130results130query130query130^^^^ mT) are presented."}^^^^^^^^130,130 Magic Window"^^^^^^^^130,130 R. Almeida"^^^^^^^^130,130 M. H. Wong"^^^^^^^^130,130 S. Tasca"^^^^^^^^130,130 Karimi"]^^^^^^^^130,130 windows (or mirrors) consist of optical devices with a surface deformation or thickness distribution devised in such a way to form a desired image. The associated image intensity distribution has been shown to be related to the Laplacian of the height of the surface relief. We experimentally realize such devices with flat optics employing optical spin-to-orbital angular momentum coupling^^^^^^^^130,130^^^^^^^^ which represent a new paradigm for light manipulation. The desired pattern and experimental specifications for designing the flat optics was implemented with a re-configurable spatial light modulator which acted as the magic mirror. The flat plate^^^^^^^^130,130^^^^^^^^ optical spin-to-orbital angular momentum coupler^^^^^^^^130,130^^^^^^^^ is then fabricated by spatially structuring nematic liquid crystals. The plate is used to demonstrate the concept of a polarization-switchable magic window^^^^^^^^130,130^^^^^^^^ where^^^^^^^^130,130^^^^^^^^ depending on the input circular polarization handedness^^^^^^^^130,130^^^^^^^^ one can display either the desired image or the image resulting from the negative of the window's phase."}^^^^^^^^130,130 in Human-Robot Interaction (HRI)"^^^^^^^^130,130 D. Cooney"^^^^^^^^130,130 Vinel"]^^^^^^^^130,130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^^^^^" is referred to here and there in the robotics literature^^^^^^^^130,130^^^^^^^^ from ^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^^^^^" afforded by a mobile bubble machine^^^^^^^^130,130^^^^^^^^ to ^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130sort_by130^^^^^^^^" intended to entertain and motivate children--but what exactly could this concept mean for designers? Here^^^^^^^^130,130^^^^^^^^ we present (^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^) some theoretical discussion on how magic could inform interaction designs based on reviewing the literature^^^^^^^^130,130^^^^^^^^ followed by (^^^^130max_results130^^^^) a practical description of using such ideas to develop a simplified prototype^^^^^^^^130,130^^^^^^^^ which received an award in an international robot magic competition. Although this topic can be considered unusual and some negative connotations exist (e.g.^^^^^^^^130,130^^^^^^^^ unrealistic thinking can be referred to as magical)^^^^^^^^130,130^^^^^^^^ our ^^^^^^^^130results130^^^^^^^^ seem to suggest that magic^^^^^^^^130,130^^^^^^^^ in the experiential^^^^^^^^130,130^^^^^^^^ supernatural^^^^^^^^130,130^^^^^^^^ and illusory senses of the term^^^^^^^^130,130^^^^^^^^ could be useful to consider in various robot design contexts^^^^^^^^130,130^^^^^^^^ also for artifacts like home assistants and autonomous vehicles--thus^^^^^^^^130,130^^^^^^^^ inviting further discussion and exploration."}]} to=arxiv_search.search аанацҳауеитjson {"^^^^^^^^130query130 AND (all^^^^^^^^130:130 OR all^^^^^^^^130:130 OR all^^^^^^^^130:130 search OR all^^^^^^^^130:130 "^^^^^^^^130max_results130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^^^^^^^^^130,130 "^^^^^^^^130sort_by130 to=arxiv_search.search RTLRაზეjson {"^^^^^^^^130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"MAGIC AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^^^^^" "^^^^^^^^130max_results130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^^^^^^^^^130,130 "^^^^^^^^130sort_by130 to=arxiv_search.search 大发快三如何json {"^^^^^^^^130query130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"Multimodal Alignment^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" OR all^^^^^^^^130:130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"Motion-Aware Generative Inference^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" OR all^^^^^^^^130:130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"Quantum Architecture Search^^^^^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^" OR all^^^^^^^^130:130 AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"tricycle AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130query130^^^^^^^^"" "^^^^^^^^130max_results130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^^^^^^^^^130,130 "^^^^^^^^130sort_by130 Magic is a polysemous technical term in current research. In the arXiv literature it appears as the name of a gamma-ray telescope array^^^^^^^^130,130^^^^^^^^ a class of optical devices that reveal hidden images after propagation^^^^^^^^130,130^^^^^^^^ a resource-theoretic notion of nonstabilizerness in quantum information^^^^^^^^130,130^^^^^^^^ a family of graph-labeling invariants^^^^^^^^130,130^^^^^^^^ a muographic scheme for magnetic-field imaging^^^^^^^^130,130^^^^^^^^ a design lens in human-robot interaction^^^^^^^^130,130^^^^^^^^ and several recent acronyms for machine-learning and generative-modeling methods (&&&^^^^130results130^^^^&&& &&&^^^^130:130^^^^&&& &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&^^^^^^^^130,130 &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^&&&^^^^^^^^130,130 &&&^^^^130,130^^^^&&& &&&^^^^130,130^^^^&&& &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^&&&^^^^^^^^130,130 &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^&&&). The common thread is not a single theory but a recurrent research practice^^^^^^^^130:130^^^^^^^^ the term marks hidden structure^^^^^^^^130,130^^^^^^^^ nonclassical resources^^^^^^^^130,130^^^^^^^^ or methods that expose otherwise inaccessible behavior.

^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^. Gamma-ray astronomy^^^^^^^^130:130^^^^^^^^ the MAGIC stereo system

In very-high-energy gamma-ray astronomy^^^^^^^^130,130^^^^^^^^ MAGIC denotes the Major Atmospheric Gamma Imaging Cherenkov telescopes^^^^^^^^130:130^^^^^^^^ a system of two Imaging Atmospheric Cherenkov Telescopes^^^^^^^^130,130^^^^^^^^ each with a ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130:130^^^^ m diameter mirror dish^^^^^^^^130,130^^^^^^^^ located at ^^^^130max_results130max_results130query130query130^^^^ m a.s.l. on La Palma and sensitive above approximately ^^^^130,130query130^^^^ GeV (&&&^^^^130results130^^^^&&&). MAGIC I began operation in ^^^^130max_results130query130query130relevance130 and MAGIC II enabled regular stereoscopic observations since autumn ^^^^130max_results130query130query130:[130 so that only events triggering both telescopes are recorded.

The system observes Cherenkov flashes from atmospheric air showers rather than gamma rays directly. The stereo trigger combines per-telescope multi-level triggering^^^^^^^^130,130^^^^^^^^ including a ^^^^130sort_by130^^^^NN camera trigger^^^^^^^^130,130^^^^^^^^ with a tight time coincidence between telescopes; individual trigger rates of several kHz are reduced to a stereo trigger rate of approximately ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130query130^^^^–^^^^130max_results130query130query130^^^^ Hz^^^^^^^^130,130^^^^^^^^ with only a few Hz of accidentals (&&&^^^^130results130^^^^&&&). Reconstruction is performed in the MARS framework through calibration^^^^^^^^130,130^^^^^^^^ image cleaning^^^^^^^^130,130^^^^^^^^ Hillas parametrization^^^^^^^^130,130^^^^^^^^ stereo geometrical quantities such as Impact and MaxHeight^^^^^^^^130,130^^^^^^^^ DISP-RF direction estimation^^^^^^^^130,130^^^^^^^^ Random-Forest gamma–hadron separation via Hadronness^^^^^^^^130,130^^^^^^^^ and lookup-table energy reconstruction.

The stereo configuration substantially improves performance. For a Crab-like spectrum^^^^^^^^130,130^^^^^^^^ the threshold is approximately ^^^^130results130query130^^^^–^^^^130,130query130^^^^ GeV; the best energy resolution is about ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^% at a few hundred GeV; the angular resolution is better than PRESERVED_PLACEHOLDER_^^^^130query130^^^^ around ^^^^130sort_by130query130query130^^^^ GeV; and the integral sensitivity is better than ^^^^130query130^^^^.^^^^130,130 of the Crab Nebula flux in ^^^^130results130query130^^^^ h at a few hundred GeV (&&&^^^^130results130^^^^&&&). The same study also reports energy-scale uncertainties of approximately ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^–^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130:130^^^^%^^^^^^^^130,130 flux-normalization systematic errors of ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^–^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130:[130^^^^%^^^^^^^^130,130 and a systematic error on spectral slope of ^^^^130query130^^^^.^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^^^^^^^^^130,130 situating MAGIC as a low-threshold bridge between satellite instruments such as Fermi-LAT and other ground-based IACT arrays (&&&^^^^130results130^^^^&&&).

^^^^130max_results130^^^^. Optics^^^^^^^^130:130^^^^^^^^ magic windows^^^^^^^^130,130^^^^^^^^ magic mirrors^^^^^^^^130,130^^^^^^^^ and flat geometric-phase devices

In optics^^^^^^^^130,130^^^^^^^^ a magic window or magic mirror is an optical element that appears flat or weakly deformed yet projects a hidden image at some distance. The classical mechanism is Laplacian^^^^^^^^130:130^^^^^^^^ for a transmissive window of thickness profile PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^ and refractive index PRESERVED_PLACEHOLDER_^^^^130max_results130 the image intensity satisfies

PRESERVED_PLACEHOLDER_^^^^130sort_by130^^^^

so the desired image can be designed by solving a Poisson problem for the surface relief or optical-path profile (&&&^^^^130:130^^^^&&&). This connects the projected intensity to curvature rather than to the profile itself.

The paper "Flat Magic Window" replaces actual height modulation by flat optics. A reflective liquid-crystal spatial light modulator first serves as a programmable magic mirror^^^^^^^^130,130^^^^^^^^ and the flat plate is then realized as a nematic-liquid-crystal Pancharatnam–Berry optical element whose optic-axis pattern encodes a geometric phase PRESERVED_PLACEHOLDER_^^^^130relevance130^^^^ for opposite circular input polarizations (&&&^^^^130:130^^^^&&&). For a half-wave retardance PRESERVED_PLACEHOLDER_^^^^130results130 the device performs full spin-to-orbital angular-momentum conversion^^^^^^^^130,130^^^^^^^^

PRESERVED_PLACEHOLDER_^^^^130,130^^^^

so the same flat plate displays either the intended image or the image associated with the negative phase^^^^^^^^130,130^^^^^^^^ depending on the handedness of the input circular polarization (&&&^^^^130:130^^^^&&&).

Experimentally^^^^^^^^130,130^^^^^^^^ the work uses a ^^^^130,130sort_by130sort_by130^^^^ nm He–Ne laser^^^^^^^^130,130^^^^^^^^ an PRESERVED_PLACEHOLDER_^^^^130:130^^^^ Hamamatsu SLM^^^^^^^^130,130^^^^^^^^ a fabricated PRESERVED_PLACEHOLDER_^^^^130,130^^^^ liquid-crystal cell^^^^^^^^130,130^^^^^^^^ and a ^^^^130sort_by130max_results130^^^^-step quantization of the phase pattern. It demonstrates propagation from a phase-only pattern to a visible logo^^^^^^^^130,130^^^^^^^^ polarization-switchable image/negative pairs^^^^^^^^130,130^^^^^^^^ and retardance-controlled interpolation between no image and a strong image (&&&^^^^130:130^^^^&&&). A plausible implication is that the historical magic-window phenomenon can be reinterpreted as a special case of flat^^^^^^^^130,130^^^^^^^^ polarization-selective wavefront engineering.

^^^^130sort_by130^^^^. Muography^^^^^^^^130:130^^^^^^^^ Magic-PRESERVED_PLACEHOLDER_^^^^130:[130^^^^ as magnetic-field imaging by cosmic-ray muons

Magic-PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^ is an acronym for Magnetic field Imaging by Cosmic-ray Muons. Its stated goal is to detect the presence of a magnetic field or magnetic flux density whose three-dimensional distribution is unknown^^^^^^^^130,130^^^^^^^^ with three modes^^^^^^^^130:130^^^^^^^^ magnetic field imaging^^^^^^^^130,130^^^^^^^^ transmission^^^^^^^^130,130^^^^^^^^ and deflection (&&&^^^^130,130^^^^&&&). The imaging mode is qualitative and asks whether field is present in specific voxels; the transmission and deflection modes aim to estimate flux density quantitatively.

The feasibility study for strong fields uses the PHITS Monte Carlo code with PARMA cosmic-ray muon spectra. The simulated geometry contains nine lead blocks^^^^^^^^130,130^^^^^^^^ a PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^ detector^^^^^^^^130,130^^^^^^^^ and a PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^ magnetic-field region placed ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130query130^^^^ cm above the detector. Field strengths of ^^^^130query130 ^^^^130query130^^^^.^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^^^^^^^^^130,130 ^^^^130query130^^^^.^^^^130results130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^^^^^^^^^130,130 ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130^^^^^^^^^^^^130,130 and ^^^^130max_results130query130^^^^ T are considered over ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130max_results130^^^^ h exposures (&&&^^^^130,130^^^^&&&). The imaging principle is that sufficiently strong fields deflect or reflect low-momentum muons so that they no longer reach the detector^^^^^^^^130,130^^^^^^^^ changing the attenuation pattern relative to the field-off background.

Detection is quantified by a figure of merit comparing foreground and background count maps^^^^^^^^130,130^^^^^^^^ with FOM PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130sort_by130^^^^ adopted as the threshold for claiming magnetic-field detection in a pixel (&&&^^^^130,130^^^^&&&). In these simulations^^^^^^^^130,130^^^^^^^^ fields of ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^ T and above are clearly detected^^^^^^^^130,130^^^^^^^^ while ^^^^130query130^^^^.^^^^130results130^^^^ T is near threshold and ^^^^130query130^^^^.^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^ T produces only slight distortions (&&&^^^^130,130^^^^&&&). The broader significance is that Magic-PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130relevance130^^^^ extends muography from density imaging to Lorentz-force-based field sensing^^^^^^^^130,130^^^^^^^^ with intended applications to large magnets in fusion reactors and accelerators.

^^^^130relevance130^^^^. Quantum science^^^^^^^^130:130^^^^^^^^ magic as nonstabilizerness

In quantum information^^^^^^^^130,130^^^^^^^^ magic means nonstabilizerness^^^^^^^^130:130^^^^^^^^ the resource that takes a state or circuit outside the Clifford/stabilizer sector and is necessary for universal quantum computation (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&^^^^^^^^130,130 &&&^^^^130sort_by130^^^^&&&). One representative measure is the second stabilizer Rényi entropy; for a two-qubit pure state in the scattering-based formulation^^^^^^^^130,130^^^^^^^^

PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^

with maximal two-qubit value PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^ (&&&^^^^130relevance130^^^^&&&). For single-qubit transport problems^^^^^^^^130,130^^^^^^^^ the stabilizer norm

PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130:130^^^^

detects magic through the condition PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^ (&&&^^^^130max_results130^^^^&&&).

Several recent works study how this resource behaves in many-body systems. Measurement-only circuits with competing Clifford and non-Clifford measurements exhibit a magic transition between two phases with extensive magic scaling^^^^^^^^130,130^^^^^^^^ a critical point where mutual magic scales analogously to entanglement^^^^^^^^130,130^^^^^^^^ and a distinction by topological magic (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&). Hypergraph states admit an explicit stabilizer-Rényi formula in terms of induced hypergraphs; random hypergraph states typically reach maximal magic^^^^^^^^130,130^^^^^^^^ whereas bounded average degree precludes maximal magic and certain highly symmetric states possess only constant or exponentially small magic for PRESERVED_PLACEHOLDER_^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130:[130^^^^ (&&&^^^^130sort_by130^^^^&&&). For tensor-network numerics^^^^^^^^130,130^^^^^^^^ mutual von-Neumann stabilizer Rényi entropies and magic capacity can be computed in PRESERVED_PLACEHOLDER_^^^^130max_results130query130^^^^ time for matrix product states^^^^^^^^130,130^^^^^^^^ and mutual SRE was shown to characterize the critical point of the transverse-field Ising model independently of local basis (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&).

The same resource-theoretic notion is now being used operationally. In spin chains^^^^^^^^130,130^^^^^^^^ the transport of magic depends strongly on the injected-state geometry^^^^^^^^130:130^^^^^^^^ lower-Bloch-hemisphere states transfer better^^^^^^^^130,130^^^^^^^^ upper-hemisphere states require crossing a threshold in the parameter controlling the tendency toward perfect transfer^^^^^^^^130,130^^^^^^^^ and certain regimes amplify the transported magic beyond the initial encoding (&&&^^^^130max_results130^^^^&&&). In high-energy theory^^^^^^^^130,130^^^^^^^^ electroweak and dark-photon scattering generate magic distributions for outgoing spin states^^^^^^^^130,130^^^^^^^^ with maximal two-qubit magic reached at PRESERVED_PLACEHOLDER_^^^^130max_results130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^ and PRESERVED_PLACEHOLDER_^^^^130max_results130max_results130^^^^ in dark-sector inverse-annihilation channels (&&&^^^^130relevance130^^^^&&&). In architecture and fault tolerance^^^^^^^^130,130^^^^^^^^ magic-informed quantum architecture search biases Monte Carlo tree search with a GNN estimator of circuit magic^^^^^^^^130,130^^^^^^^^ while tricycle qLDPC codes support constant-depth logical CCZ^^^^^^^^130,130^^^^^^^^ single-shot state preparation and error correction^^^^^^^^130,130^^^^^^^^ and a circuit-noise threshold above ^^^^130query130^^^^.^^^^130relevance130 for low-overhead magic-state generation (&&&^^^^130sort_by130,130^^^^&&& &&&^^^^130sort_by130:[130^^^^&&&).

^^^^130results130^^^^. Mathematical and computational acronymic uses

In graph theory^^^^^^^^130,130^^^^^^^^ magic appears in distance magic labeling. A positive integer PRESERVED_PLACEHOLDER_^^^^130max_results130sort_by130^^^^ is a magic constant if there exists a graph PRESERVED_PLACEHOLDER_^^^^130max_results130relevance130^^^^ and a bijection PRESERVED_PLACEHOLDER_^^^^130max_results130results130^^^^ such that each vertex has the same weight

PRESERVED_PLACEHOLDER_^^^^130max_results130,130^^^^

A complete characterization shows that all positive integers except PRESERVED_PLACEHOLDER_^^^^130max_results130:130^^^^ and PRESERVED_PLACEHOLDER_^^^^130max_results130,130^^^^ are magic constants (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^&&&). The proof combines structural families such as PRESERVED_PLACEHOLDER_^^^^130max_results130:[130^^^^ and PRESERVED_PLACEHOLDER_^^^^130sort_by130query130 regular-graph formulas^^^^^^^^130,130^^^^^^^^ lexicographic products^^^^^^^^130,130^^^^^^^^ and an explicit search algorithm that resolves the remaining even cases (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^&&&).

In machine learning^^^^^^^^130,130^^^^^^^^ MAGIC is also a family of acronyms for selection and generation methods. "MAGIC^^^^^^^^130:130^^^^^^^^ Multimodal Alignment & Grounding-aware Instruction Coreset" is a training-free^^^^^^^^130,130^^^^^^^^ forward-only coreset-selection method for multimodal instruction tuning that uses Multimodal Gain^^^^^^^^130,130^^^^^^^^ Bridging Relevance^^^^^^^^130,130^^^^^^^^ and Skill-Neuron Signatures; under matched ^^^^130max_results130query130^^^^% budgets it reports ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130query130^^^^.^^^^130sort_by130^^^^% relative performance to full finetuning on LLaVA-^^^^130,130,130results130^^^^K ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130query130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^.^^^^130,130^^^^% on Vision-Flan-^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130,130^^^^K^^^^^^^^130,130 and a ^^^^130:130sort_by130^^^^.^^^^130:130 reduction in wall-clock run time (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^&&&). "MAGIC^^^^^^^^130:130^^^^^^^^ Motion-Aware Generative Inference via Confidence-Guided LLM" is a training-free framework that combines CogVideoX^^^^^^^^130,130^^^^^^^^ GPT-^^^^130relevance130^^^^o prompt refinement^^^^^^^^130,130^^^^^^^^ Trellis ^^^^130sort_by130^^^^D Gaussian reconstruction^^^^^^^^130,130^^^^^^^^ and differentiable MPM simulation to infer physical properties from a single image and generate physics-grounded dynamics; it reports the highest average CLIP similarity among compared video generators and the highest human-rated physical plausibility and text consistency in its user study (&&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^&&&). These uses are acronymic rather than conceptual^^^^^^^^130:130^^^^^^^^ the word marks a named pipeline^^^^^^^^130,130^^^^^^^^ not a common theoretical object.

^^^^130,130^^^^. Human-robot interaction^^^^^^^^130:130^^^^^^^^ magic as a design lens

In HRI^^^^^^^^130,130^^^^^^^^ magic is treated not as an acronym but as a design concept. "Magic in Human-Robot Interaction (HRI)" proposes a working definition that combines experiential^^^^^^^^130,130^^^^^^^^ supernatural^^^^^^^^130,130^^^^^^^^ and illusory senses^^^^^^^^130,130^^^^^^^^ and organizes the literature into three corresponding categories^^^^^^^^130:130^^^^^^^^ experiential magic as moving and memorable moments^^^^^^^^130,130^^^^^^^^ supernatural magic as mythic or spiritual framing without intended trick^^^^^^^^130,130^^^^^^^^ and illusory magic as deliberate performance or deception (&&&^^^^130,130^^^^&&&). The paper reports a rapid scoping review over approximately ^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130query130^^^^ papers from ACM^^^^^^^^130,130^^^^^^^^ IEEE Xplore^^^^^^^^130,130^^^^^^^^ and Google Scholar^^^^^^^^130,130^^^^^^^^ narrowed to a final set of approximately ^^^^130results130query130^^^^ papers sorted into these three senses (&&&^^^^130,130^^^^&&&).

The design discussion connects magic to play^^^^^^^^130,130^^^^^^^^ personalization^^^^^^^^130,130^^^^^^^^ emotional contagion^^^^^^^^130,130^^^^^^^^ ritual^^^^^^^^130,130^^^^^^^^ mythic creatures^^^^^^^^130,130^^^^^^^^ magic objects^^^^^^^^130,130^^^^^^^^ and stage-magic techniques such as attention guidance and structured patter (&&&^^^^130,130^^^^&&&). It also emphasizes risks^^^^^^^^130:130^^^^^^^^ magical framing can encourage unrealistic expectations^^^^^^^^130,130^^^^^^^^ inappropriate deception^^^^^^^^130,130^^^^^^^^ or confusion in contexts where accuracy matters. The authors accordingly argue for context-sensitive use and for framing some robot interactions explicitly as performances rather than literal claims.

The practical prototype is a Baxter robot augmented with a hat^^^^^^^^130,130^^^^^^^^ wand^^^^^^^^130,130^^^^^^^^ thermal camera^^^^^^^^130,130^^^^^^^^ UV camera^^^^^^^^130,130^^^^^^^^ and scripted dialogue^^^^^^^^130,130^^^^^^^^ performing four tricks^^^^^^^^130:130^^^^^^^^ wand transformation^^^^^^^^130,130^^^^^^^^ seeing through a black box with thermal imaging^^^^^^^^130,130^^^^^^^^ detecting sunscreen under UV^^^^^^^^130,130^^^^^^^^ and mind-reading a color through speech-based interaction (&&&^^^^130,130^^^^&&&). The system placed second in the Humanoid Application Challenge Robot Magic and Music Competition^^^^^^^^130,130^^^^^^^^ which the authors use as proof of concept that magic can function as an operative design lens in HRI rather than as a loose metaphor (&&&^^^^130,130^^^^&&&).

Across these usages^^^^^^^^130,130^^^^^^^^ magic is less a unified object than a recurring strategy for formalizing hidden structure. In gamma-ray astronomy it names a low-threshold stereoscopic observatory; in optics and muography it denotes image formation or field sensing that becomes visible only after propagation; in quantum theory it quantifies deviation from stabilizer structure; in graph theory it encodes a uniform-weight constraint; in HRI it marks memorable^^^^^^^^130,130^^^^^^^^ supernatural^^^^^^^^130,130^^^^^^^^ or illusory experience; and in machine learning it serves as an acronym for methods that preserve salient latent structure under severe computational constraints (&&&^^^^130results130^^^^&&& &&&^^^^130:130^^^^&&& &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130^^^^&&&^^^^^^^^130,130 &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130max_results130^^^^&&&^^^^^^^^130,130 &&&^^^^130,130^^^^&&& &&&^^^^130,130^^^^&&& &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130results130^^^^&&&^^^^^^^^130,130 &&&^^^^130all:magic AND (all:quantum OR all:nonstabilizerness OR all:telescope OR all:muons OR all:optics OR all:robot OR all:vision-language)130,130^^^^&&&). This suggests that the persistence of the term is not accidental^^^^^^^^130:130^^^^^^^^ it repeatedly labels phenomena in which observables of primary interest are indirect^^^^^^^^130,130^^^^^^^^ structured^^^^^^^^130,130^^^^^^^^ and revealed through carefully engineered transformations.