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The Gottesman-Kitaev-Preskill (GKP) code is a promising bosonic quantum error-correcting code, encoding logical qubits into a bosonic mode in such a way that many physically relevant noise types can be corrected effectively.
D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Physical Review A 64
2001
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M. D. Bowdrey, D. K. Oi, A. J. Short, K. Banaszek, and J. A. Jones, Fidelity of single qubit maps, Physics Letters A 294
2002
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H. M. Vasconcelos, L. Sanz, and S. Glancy, All-optical generation of states for “encoding a qubit in an oscillator”, Optics letters 35
2010
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C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Gaussian quantum information, Reviews of Modern Physics 84
2012
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Z. Leghtas, G. Kirchmair, B. Vlastakis, R. J. Schoelkopf, M. H. Devoret, and M. Mirrahimi, Hardware-efficient autonomous quantum memory protection, Physical Review Letters 111
2013
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N. C. Menicucci, Fault-tolerant measurement-based quantum computing with continuous-variable cluster states, Physical review letters 112
2014
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B. Terhal and D. Weigand, Encoding a qubit into a cavity mode in circuit qed using phase estimation, Physical Review A 93
2016
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M. Bergmann and P. van Loock, Quantum error correction against photon loss using multicomponent cat states, Physical Review A 94
2016
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M. H. Michael, M. Silveri, R. Brierley, V. V. Albert, J. Salmilehto, L. Jiang, and S. M. Girvin, New class of quantum error-correcting codes for a bosonic mode, Physical Review X 6
2016
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K. R. Motes, B. Q. Baragiola, A. Gilchrist, and N. C. Menicucci, Encoding qubits into oscillators with atomic ensembles and squeezed light, Physical Review A 95
2017
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L. Li, C.-L. Zou, V. V. Albert, S. Muralidharan, S. Girvin, and L. Jiang, Cat codes with optimal decoherence suppression for a lossy bosonic channel, Physical review letters 119
2017
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V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S. Girvin, et al. , Performance and structure of single-mode bosonic codes, Physical Review A 97
2018
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D. J. Weigand and B. M. Terhal, Generating grid states from schrödinger-cat states without postselection, Physical Review A 97
2018
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K. Noh, V. V. Albert, and L. Jiang, Quantum capacity bounds of Gaussian thermal loss channels and achievable rates with Gottesman-Kitaev-Preskill codes, IEEE Transactions on Information Theory 65
2018
Cited alongside, same era.
K. Fukui, A. Tomita, A. Okamoto, and K. Fujii, High-threshold fault-tolerant quantum computation with analog quantum error correction, Physical review X 8
2018
Cited alongside, same era.
M. Eaton, R. Nehra, and O. Pfister, Non-Gaussian and Gottesman–Kitaev–Preskill state preparation by photon catalysis, New Journal of Physics 21
2019
Cited alongside, same era.
D. Su, C. R. Myers, and K. K. Sabapathy, Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors, Physical Review A 100
2019
Cited alongside, same era.
B. Q. Baragiola, G. Pantaleoni, R. N. Alexander, A. Karanjai, and N. C. Menicucci, All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code, Physical review letters 123
W. Cai, Y. Ma, W. Wang, C.-L. Zou, and L. Sun, Bosonic quantum error correction codes in superconducting quantum circuits, Fundamental Research (2021)
2021
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A. L. Grimsmo and S. Puri, Quantum error correction with the Gottesman-Kitaev-Preskill code, PRX Quantum 2
2021
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2021
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2021
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L. J. Mensen, B. Q. Baragiola, and N. C. Menicucci, Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits, Physical Review A 104
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2019
Cited alongside, same era.
2019
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A. L. Grimsmo, J. Combes, and B. Q. Baragiola, Quantum computing with rotation-symmetric bosonic codes, Physical Review X 10
2020
Cited alongside, same era.
B. M. Terhal, J. Conrad, and C. Vuillot, Towards scalable bosonic quantum error correction, Quantum Science and Technology 5
2020
Cited alongside, same era.
I. Tzitrin, J. E. Bourassa, N. C. Menicucci, and K. K. Sabapathy, Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes, Physical Review A 101
2020
Cited alongside, same era.
K. Noh and C. Chamberland, Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code, Physical Review A 101
2020
Cited alongside, same era.
T. Matsuura, H. Yamasaki, and M. Koashi, Equivalence of approximate Gottesman-Kitaev-Preskill codes, Physical Review A 102
2020
Cited alongside, same era.
B. W. Walshe, B. Q. Baragiola, R. N. Alexander, and N. C. Menicucci, Continuous-variable gate teleportation and bosonic-code error correction, Physical Review A 102
2020
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2021
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L. García-Álvarez, A. Ferraro, and G. Ferrini, From the bloch sphere to phase-space representations with the Gottesman–Kitaev–Preskill encoding, in International Symposium on Mathematics, Quantum Theory, and Cryptography (Springer, Singapore, 2021) pp. 79–92
2021
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2021
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