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Hardware-Efficient Bosonic Quantum Computing with Photon-loss Detection Capability
Published 1 Mar 2024 in quant-ph | (2403.00291v2)
Abstract: Bosonic quantum systems offer the hardware-efficient construction of error detection/error correction codes by using the infinitely large Hilbert space. However, due to the encoding, arbitrary gate rotations usually require magic state teleportation or complicated optimized pulse sequences involving an ancilla qubit. Here, we propose a simple and hardware-efficient bosonic 02 error detection code that allows for the implementation of arbitrary X and Z rotations and a controlled phase gate by using a Kerr nonlinear resonator. Our code can detect a single photon loss, and we observe significant error suppression by simulating the frequently used hardware-efficient ansatz quantum circuit in near-term quantum computing.
- A. Peres, Reversible logic and quantum computers, Physical Review A 32, 3266 (1985).
- M. Nielsen and I. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010).
- B. M. Terhal, Quantum error correction for quantum memories, Reviews of Modern Physics 87, 307 (2015).
- D. Suter and G. A. Álvarez, Colloquium: Protecting quantum information against environmental noise, Reviews of Modern Physics 88, 041001 (2016).
- J. Roffe, Quantum error correction: an introductory guide, Contemporary Physics 60, 226 (2019).
- P. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science (1996) pp. 56–65.
- D. Gottesman, Stabilizer codes and quantum error correction (1997), arXiv:quant-ph/9705052 [quant-ph] .
- G. P. Berman, D. K. Campbell, and V. I. Tsifrinovich, Error correction for a spin quantum computer, Physical Review B 55, 5929 (1997).
- S. Bravyi and A. Kitaev, Universal quantum computation with ideal clifford gates and noisy ancillas, Physical Review A 71, 022316 (2005).
- Y. Matsuzaki and S. Benjamin, Magnetic-field sensing with quantum error detection under the effect of energy relaxation, Physical Review A 95, 032303 (2017).
- Y. Ouyang and G. K. Brennen, Quantum error correction on symmetric quantum sensors (2023), arXiv:2212.06285 [quant-ph] .
- A. Ekert and C. Macchiavello, Quantum error correction for communication, Physical Review Letters 77, 2585 (1996).
- E. Knill, R. Laflamme, and L. Viola, Theory of quantum error correction for general noise, Physical Review Letters 84, 2525 (2000).
- A. L. Grimsmo, J. Combes, and B. Q. Baragiola, Quantum computing with rotation-symmetric bosonic codes, Physical Review X 10, 011058 (2020).
- D. S. Schlegel, F. Minganti, and V. Savona, Quantum error correction using squeezed schrödinger cat states, Physical Review A 106, 022431 (2022).
- K. Fukui, High-threshold fault-tolerant quantum computation with the gottesman-kitaev-preskill qubit under noise in an optical setup, Physical Review A 107, 052414 (2023).
- B. Royer, S. Singh, and S. Girvin, Encoding qubits in multimode grid states, PRX Quantum 3, 010335 (2022).
- S. Kwon, S. Watabe, and J.-S. Tsai, Autonomous quantum error correction in a four-photon kerr parametric oscillator, npj Quantum Information 8, 40 (2022).
- D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Physical Review A 64, 012310 (2001).
- B. Royer, S. Singh, and S. M. Girvin, Stabilization of finite-energy gottesman-kitaev-preskill states, Physical Review Letters 125, 260509 (2020).
- K. K. Sabapathy and C. Weedbrook, On states as resource units for universal quantum computation with photonic architectures, Physical Review A 97, 062315 (2018).
- G. J. Milburn and C. A. Holmes, Quantum coherence and classical chaos in a pulsed parametric oscillator with a kerr nonlinearity, Physical Review A 44, 4704 (1991).
- B. Wielinga and G. J. Milburn, Quantum tunneling in a kerr medium with parametric pumping, Physical Review A 48, 2494 (1993).
- P. T. Cochrane, G. J. Milburn, and W. J. Munro, Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping, Physical Review A 59, 2631 (1999).
- H. Goto, Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network, Scientific Reports 6, 21686 (2016).
- S. Puri, S. Boutin, and A. Blais, Engineering the quantum states of light in a kerr-nonlinear resonator by two-photon driving, npj Quantum Information 3, 18 (2017).
- M. Born and V. Fock, Beweis des adiabatensatzes, Zeitschrift für Physik 51, 165 (1928).
- T. Kato, On the adiabatic theorem of quantum mechanics, Journal of the Physical Society of Japan 5, 435 (1950).
- A. Messiah, Quantum Mechanics, Dover books on physics No. 2 (Dover Publications, 1999).
- S. Kohler, Dispersive readout: Universal theory beyond the rotating-wave approximation, Physical Review. A 98, 023849 (2018).
- E. Schrödinger, An undulatory theory of the mechanics of atoms and molecules, Physical Review 28, 1049 (1926).
- V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of N‐level systems, Journal of Mathematical Physics 17, 821 (1976).
- G. Lindblad, On the generators of quantum dynamical semigroups, Communications in Mathematical Physics 48, 119 (1976).
- H. Chono, T. Kanao, and H. Goto, Two-qubit gate using conditional driving for highly detuned kerr nonlinear parametric oscillators, Physical Review Research 4, 043054 (2022).
- A. Gilchrist, N. K. Langford, and M. A. Nielsen, Distance measures to compare real and ideal quantum processes, Physical Review A 71, 062310 (2005).
- M. A. Nielsen, A simple formula for the average gate fidelity of a quantum dynamical operation, Physics Letters A 303, 249 (2002).
- A. Brinkmann, Introduction to average hamiltonian theory. i. basics, Concepts in Magnetic Resonance Part A 45A, e21414 (2016).
- M. Ueda, Probability-density-functional description of quantum photodetection processes, Quantum Optics: Journal of the European Optical Society Part B 1, 131 (1989).
- I. L. Chuang, D. W. Leung, and Y. Yamamoto, Bosonic quantum codes for amplitude damping, Physical Review A 56, 1114 (1997).
- G. D’ambrosio and G. Isidori, Cp violation in kaon decays, International Journal of Modern Physics A 13, 1 (1998).
- Y. Mori and I. Tsutsui, Weak-value amplification and the lifetime of a decaying particle, Physical Review A 104, 032202 (2021).
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