Results 11 to 20 of about 28,680 (263)
Quantum Convolutional Error Correcting Codes [PDF]
Physical Review A, 1998 I report two general methods to construct quantum convolutional codes for $N$-state quantum systems. Using these general methods, I construct a quantum convolutional code of rate 1/4, which can correct one quantum error for every eight consecutive ...
A. Dholakia +19 more
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Asymmetric quantum error correcting codes [PDF]
Physical Review A, 2006 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 ...
A. Hocquenghem +7 more
core +5 more sources
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
core +10 more sources
Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes [PDF]
Physical Review A, 2010 If entanglement is available, the error-correcting ability of quantum codes can be increased. We show how to optimize the minimum distance of an entanglement-assisted quantum error-correcting (EAQEC) code, obtained by adding ebits to a standard quantum ...
Brun, Todd, Lai, Ching-Yi
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Good Quantum Error-Correcting Codes Exist [PDF]
Physical Review A, 1995 A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily ...
Calderbank, A. R., Shor, Peter W.
core +6 more sources
Graphical Nonbinary Quantum Error-Correcting Codes [PDF]
Physical Review A, 2008 In this paper, based on the nonbinary graph state, we present a systematic way of constructing good non-binary quantum codes, both additive and nonadditive, for systems with integer dimensions.
C. H. Bennett +7 more
core +2 more sources
High-rate quantum LDPC codes for long-range-connected neutral atom registers [PDF]
Nature CommunicationsHigh-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing.
Laura Pecorari +3 more
doaj +2 more sources
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.
openaire +3 more sources
Some New Quantum BCH Codes over Finite Fields
Entropy, 2021 Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes.
Lijuan Xing, Zhuo Li
doaj +1 more source
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 cluster state, implementing foliated quantum error correction.
Bolt, A. +3 more
openaire +5 more sources