Steane A (1996) Multiple-particle interference and quantum error correction. Steane A (1996) Error correcting codes in quantum theory. Shor PW (1995) Scheme for reducing decoherence in quantum computer memory. Nielsen M, Chuang I (2000) Quantum computation and quantum information. Monroe C, Raussendorf R, Ruthven A, Brown KR, Maunz P, Duan L-M, Kim J (2014) Large scale modular quantum computer architecture with atomic memory and photonic interconnects. MacWilliams FJ, Sloane NJA (1977) The theory of error-correcting codes. Kribs D, Laflamme R, Poulin D (2005) Unified and generalized approach to quantum error correction. Kovalev AA, Pryadko LP (2013) Fault-tolerance of “bad” quantum low-density parity check codes. Knill E, Laflamme R, Martinez R, Negrevergne C (2001) Benchmarking quantum computers: the five-qubit error correcting code. Knill E, Laflamme R (1997) Theory of quantum error-correcting codes. Kelly J, Barends R, Fowler AG, Megrant A, Jeffrey E, White TC, Sank D, Mutus JY, Campbell B, Chen Y, Chen Z, Chiaro B, Dunsworth A, Hoi I-C, Neill C, O’Malley PJJ, Quintana C, Roushan P, Vainsencher A, Wenner J, Cleland AN, Martinis JM (2014) State preservation by repetitive error detection in a superconducting quantum circuit. Hastings MB (2014) Decoding in hyperbolic spaces: quantum LDPC codes with linear rate and efficient error correction. Gottesman D (2013) Fault-tolerant quantum computation with constant overhead. See also: arXiv preprint quant-ph/9705052 Gottesman D (1997) Stabilizer codes and quantum error correction, Ph.D. Gottesman D (1996) Class of quantum error-correcting codes saturating the quantum Hamming bound. Nature 432:602–605įowler AG, Mariantoni M, Martinis JM, Cleland AN (2012) Surface codes: towards practical large-scale quantum computation. IEEE Trans Inf Theory 44:1369–1387Ĭhiaverini J, Leibfried D, Schaetz T, Barrett MD, Blakestad RB, Britton J, Itano WM, Jost JD, Knill E, Langer C, Ozeri R, Wineland DJ (2004) Realization of quantum error correction. This can be understood starting from the Stinespring dilation. Encoding involves 2 CNOT gates and 3 Hadamard gates. (b) The encoding circuit for the 3-qubit phase-flip code. Phys Rev A 54:1098–1105Ĭalderbank AR, Rains EM, Shor PW, Sloane NJA (1998) Quantum error correction via codes over GF(4). We present a generalization of quantum error correction to infinite-dimensional Hilbert. (a) The encoding circuit for the 3-qubit bit-flip code, involving 2 CNOT gates. Phys Rev A 54:3824–3851Ĭalderbank AR, Shor PW (1996) Good quantum error-correcting codes exist. Phys Rev A 63:032311īennett CH, DiVincenzo DP, Smolin JA, Wootters WK (1996) Mixed-state entanglement and quantum error correction. Phys Rev Lett 96:050504Īshikhmin A, Litsyn S, Tsfasman MA (2001) Asymptotically good quantum codes. Aharonov D, Kitaev A, Preskill J (2006) Fault-tolerant quantum computation with long-range correlated noise.
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