Results 11 to 20 of about 55,151 (279)
Quantum Convolutional Error Correction Codes [PDF]
Physical Review A, 1998 I report two general methods to construct quantum convolutional codes for quantum registers with internal $N$ states. Using one of these methods, I construct a quantum convolutional code of rate 1/4 which is able to correct one general quantum error for ...
A. Dholakia +19 more
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Foliated quantum error-correcting codes [PDF]
Physical Review Letters, 2016 We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger
Bolt, A. +3 more
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Sparse Graph Codes for Quantum Error-Correction [PDF]
IEEE Transactions on Information Theory, 2003 We present sparse graph codes appropriate for use in quantum error-correction. Quantum error-correcting codes based on sparse graphs are of interest for three reasons.
MacKay, David J. C. +2 more
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Nonadditive Quantum Error-Correcting Code [PDF]
Physical Review Letters, 2008 We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.
Yu, S., Chen, Q., Lai, C.H., Oh, C.H.
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Entropy of a Quantum Error Correction Code [PDF]
Open Systems & Information Dynamics, 2008 We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code.
David W. Kribs +2 more
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Quantum error avoiding codes verses quantum error correcting codes [PDF]
Physics Letters A, 1999 13 pages ...
Duan, Lu-Ming, Guo, Guang-Can
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Theory of quantum error-correcting codes [PDF]
Physical Review A, 1997 34 pages in LaTex, 1 figures, the paper is also available at http://qso.lanl.gov/qc/
Knill, Emanuel, Laflamme, Raymond
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Asymmetric quantum error-correcting codes [PDF]
Physical Review A, 2007 The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at a relatively small cost in redundancy, requiring less than a doubling of the number of physical qubits for error ...
Ioffe, Lev, Mezard, Marc
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Quantum error correction with the semion code
New Journal of Physics, 2019 Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume +3 more
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Simple quantum error-correcting codes [PDF]
Physical Review A, 1996 Methods of finding good quantum error correcting codes are discussed, and many example codes are presented. The recipe C_2^{\perp} \subseteq C_1, where C_1 and C_2 are classical codes, is used to obtain codes for up to 16 information qubits with correction of small numbers of errors. The results are tabulated.
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