Results 1 to 10 of about 147,259 (119)
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 every eight consecutive quantum registers.
A. Dholakia +19 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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Systematic Codes for Rank Modulation [PDF]
, 2014 The goal of this paper is to construct systematic error-correcting codes for permutations and multi-permutations in the Kendall's $\tau$-metric. These codes are important in new applications such as rank modulation for flash memories. The construction is
Bruck, Jehoshua +3 more
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Quantum Error Correction and Orthogonal Geometry [PDF]
, 1996 A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples.
Calderbank, A. R. +3 more
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Asymmetric quantum error correcting codes [PDF]
, 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
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Chiral Spin Liquids and Quantum Error Correcting Codes [PDF]
, 2000 The possibility of using the two-fold topological degeneracy of spin-1/2 chiral spin liquid states on the torus to construct quantum error correcting codes is investigated. It is shown that codes constructed using these states on finite periodic lattices
A.M. Steane +19 more
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Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes [PDF]
, 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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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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Error-Correcting Codes for Automatic Control [PDF]
, 2008 Systems with automatic feedback control may consist of several remote devices, connected only by unreliable communication channels. It is necessary in these conditions to have a method for accurate, real-time state estimation in the presence of channel ...
Ostrovsky, Rafail +2 more
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Recursive Code Construction for Random Networks [PDF]
, 2009 A modification of Koetter-Kschischang codes for random networks is presented (these codes were also studied by Wang et al. in the context of authentication problems). The new codes have higher information rate, while maintaining the same error-correcting
Skachek, Vitaly
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