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Gottesman, Kitaev and Preskill have formulated a way of encoding a qubit into an oscillator such that the qubit is protected against small shifts (translations) in phase space.
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J. Koch, Terri M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, “Charge-insensitive qubit design derived from the Cooper pair box,” Phys. Rev. A 76
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B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberg-limited phase estimation,” Nature (London) 450
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M. A. Castellanos-Beltran, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, “Amplification and squeezing of quantum noise with a tunable Josephson metamaterial,” Nature Physics 4
2008
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P. Brooks, A. Kitaev, and J. Preskill, “Protected gates for superconducting qubits,” Phys. Rev. A 87
2013
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2013
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Z. Leghtas, G. Kirchmair, B. Vlastakis, M. H. Devoret, R. J. Schoelkopf, and M. Mirrahimi, “Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity,” Phys. Rev. A 87
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M. Hatridge, S. Shankar, M. Mirrahimi, F. Schackert, K. Geerlings, T. Brecht, K. M. Sliwa, B. Abdo, L. Frunzio, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret, “Quantum back-action of an individual variable-strength measurement,” Science 339
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M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, and M. H. Devoret, “Dynamically protected cat-qubits: a new paradigm for universal quantum computation,” New Journal of Physics 16
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2008
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B. L. Higgins, D. W. Berry, S. D. Bartlett, M. W. Mitchell, H. M. Wiseman, and G. J. Pryde, “Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements,” New Journal of Physics 11
2009
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D. W. Berry, B. L. Higgins, S. D. Bartlett, M. W. Mitchell, G. J. Pryde, and H. M. Wiseman, “How to perform the most accurate possible phase measurements,” Phys. Rev. A 80
2009
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H. Vasconcelos, L. Sanz, and S. Glancy, “All-optical generation of states for ”Encoding a qubit in an oscillator”,” Opt. Lett. 35
2010
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F. Mallet, M. A. Castellanos-Beltran, H. S. Ku, S. Glancy, E. Knill, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, “Quantum state tomography of an itinerant squeezed microwave field,” Phys. Rev. Lett. 106
2011
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A. J. Hoffman, S. J. Srinivasan, J. M. Gambetta, and A. A. Houck, “Coherent control of a superconducting qubit with dynamically tunable qubit-cavity coupling,” Phys. Rev. B 84
2011
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A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: Towards practical large-scale quantum computation,” Phys. Rev. A 86
2012
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S. E. Nigg, H. Paik, B. Vlastakis, G. Kirchmair, S. Shankar, L. Frunzio, M. H. Devoret, R. J. Schoelkopf, and S. M. Girvin, “Black-Box Superconducting Circuit Quantization,” Phys. Rev. Lett. 108
2012
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2014
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2014
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S. Barzanjeh, D. P. DiVincenzo, and B. M. Terhal, “Dispersive qubit measurement by interferometry with parametric amplifiers,” Phys. Rev. B 90
2014
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S. J. Srinivasan, N. M. Sundaresan, D. Sadri, Y. Liu, J. M. Gambetta, T. Yu, S. M. Girvin, and A. A. Houck, “Time-reversal symmetrization of spontaneous emission for quantum state transfer,” Phys. Rev. A 89
2014
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Barbara M. Terhal, “Quantum error correction for quantum memories,” Rev. Mod. Phys. 87
2015
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