2000 character limit reached
Shortcut-to-Adiabatic Controlled-Phase Gate in Rydberg Atoms
Published 18 Dec 2023 in quant-ph, cond-mat.quant-gas, and physics.atom-ph | (2312.11594v1)
Abstract: A shortcut-to-adiabatic protocol for the realization of a fast and high-fidelity controlled-phase gate in Rydberg atoms is developed. The adiabatic state transfer, driven in the high-blockade limit, is sped up by compensating nonadiabatic transitions via oscillating fields that mimic a counterdiabatic Hamiltonian. High fidelities are obtained in wide parameter regions. The implementation of the bare effective counterdiabatic field, without original adiabatic pulses, enables to bypass gate errors produced by the accumulation of blockade-dependent dynamical phases, making the protocol efficient also at low blockade values. As an application toward quantum algorithms, how the fidelity of the gate impacts the efficiency of a minimal quantum-error correction circuit is analyzed.
- T. Gallagher, Rydberg Atoms, Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press, 2005).
- G. Rempe, H. Walther, and N. Klein, Observation of quantum collapse and revival in a one-atom maser, Phys. Rev. Lett. 58, 353 (1987).
- J. M. Raimond, M. Brune, and S. Haroche, Manipulating quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys. 73, 565 (2001).
- S. Haroche, Nobel lecture: Controlling photons in a box and exploring the quantum to classical boundary, Rev. Mod. Phys. 85, 1083 (2013).
- M. Morgado and S. Whitlock, Quantum simulation and computing with Rydberg-interacting qubits, AVS Quantum Science 3, 10.1116/5.0036562 (2021), 023501.
- M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82, 2313 (2010).
- M. Saffman, Quantum computing with atomic qubits and rydberg interactions: progress and challenges, Journal of Physics B: Atomic, Molecular and Optical Physics 49, 202001 (2016).
- G. Pelegrì, A. J. Daley, and J. D. Pritchard, High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage, Quantum Science and Technology 7, 045020 (2022).
- S. Jandura and G. Pupillo, Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms, Quantum 6, 712 (2022).
- F. Robicheaux, T. M. Graham, and M. Saffman, Photon-recoil and laser-focusing limits to Rydberg gate fidelity, Phys. Rev. A 103, 022424 (2021).
- R. Han, H. K. Ng, and B.-G. Englert, Implementing a neutral-atom controlled-phase gate with a single Rydberg pulse, Europhysics Letters 113, 40001 (2016).
- A. Vepsäläinen, S. Danilin, and G. S. Paraoanu, Superadiabatic population transfer in a three-level superconducting circuit, Science Advances 5, eaau5999 (2019).
- J. M. Martinis and M. R. Geller, Fast adiabatic qubit gates using only σzsubscript𝜎𝑧{\sigma}_{z}italic_σ start_POSTSUBSCRIPT italic_z end_POSTSUBSCRIPT control, Phys. Rev. A 90, 022307 (2014).
- A. C. Santos and M. S. Sarandy, Superadiabatic Controlled Evolutions and Universal Quantum Computation, Scientific Reports 5, 15775 (2015).
- J. Wurtz and P. J. Love, Counterdiabaticity and the quantum approximate optimization algorithm, Quantum 6, 635 (2022).
- R. J. Morris, Theory of adiabatic rapid passage for three equally spaced levels, Phys. Rev. 133, A740 (1964).
- A. Eckardt, Colloquium: Atomic quantum gases in periodically driven optical lattices, Rev. Mod. Phys. 89, 011004 (2017).
- N. Goldman and J. Dalibard, Periodically driven quantum systems: Effective hamiltonians and engineered gauge fields, Phys. Rev. X 4, 031027 (2014).
- M. Bukov, L. D’Alessio, and A. Polkovnikov, Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering, Adv. Phys. 64, 139 (2015).
- M. V. Berry, Transitionless quantum driving, Journal of Physics A: Mathematical and Theoretical 42, 365303 (2009).
- M. Demirplak and S. A. Rice, Adiabatic population transfer with control fields, The Journal of Physical Chemistry A 107, 9937 (2003).
- S. Ibáñez, X. Chen, and J. G. Muga, Improving shortcuts to adiabaticity by iterative interaction pictures, Phys. Rev. A 87, 043402 (2013).
- S. Deffner, C. Jarzynski, and A. del Campo, Classical and quantum shortcuts to adiabaticity for scale-invariant driving, Phys. Rev. X 4, 021013 (2014).
- T. Ehret, Optimizing elementary quantum gates, Bachelor Thesis, Heidelberg University (2022).
- S. Deffner and S. Campbell, Quantum speed limits: from heisenberg?s uncertainty principle to optimal quantum control, J. Phys. A: Math. and Theor. 50, 453001 (2017).
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, Cambridge, 2010).
- M. Mohseni, A. T. Rezakhani, and D. A. Lidar, Quantum-process tomography: Resource analysis of different strategies, Phys. Rev. A 77, 032322 (2008).
- J. Johansson, P. Nation, and F. Nori, Qutip: An open-source python framework for the dynamics of open quantum systems, Computer Physics Communications 183, 1760 (2012).
- J. Johansson, P. Nation, and F. Nori, Qutip 2: A python framework for the dynamics of open quantum systems, Computer Physics Communications 184, 1234 (2013).
- C. J. Foot, Atomic Physics (Oxford University Press, Oxford, 2004).
- D. Møller, L. B. Madsen, and K. Mølmer, Quantum Gates and Multiparticle Entanglement by Rydberg Excitation Blockade and Adiabatic Passage, Phys. Rev. Lett. 100, 170504 (2008).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.