Results 11 to 20 of about 4,093,339 (192)
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.
Steane, Andrew, Steane, AM
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Entanglement increases the error-correcting ability of quantum error-correcting codes [PDF]
Physical Review A, 2013 39 pages, 10 ...
Lai, Ching-Yi, Brun, Todd
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Entanglement-assisted quantum error-correcting codes [PDF]
, 2013 This is a chapter in the book "Quantum Error Correction", edited by Daniel A. Lidar and Todd A. Brun, (Cambridge University Press, 2013)
Brun, Todd, Hsieh, Min-Hsiu
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Classical enhancement of quantum-error-correcting codes [PDF]
Physical Review A, 2008 We present a general formalism for quantum error-correcting codes that encode both classical and quantum information (the EACQ formalism). This formalism unifies the entanglement-assisted formalism and classical error correction, and includes encoding, error correction, and decoding steps such that the encoded quantum and classical information can be ...
Kremsky, Isaac +2 more
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A combinatorial approach to quantum error correcting codes [PDF]
Discrete Mathematics, Algorithms and Applications, 2014 Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric n-vertices colorable graph and a group of operations (coloring rules) on the graph: find the minimum sequence of operations that maps between two given graph colorings.
German Luna +3 more
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Quantum error-correcting codes for amplitude damping
2014 IEEE International Symposium on Information Theory, 2014 Traditional quantum error-correcting codes are designed for the depolarizing channel modeled by generalized Pauli errors occurring with equal probability.
Markus Grassl +3 more
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Variational graphical quantum error correction codes
Communications PhysicsQuantum error correction is essential for achieving fault-tolerant quantum computation. However, most typical quantum error-correcting codes are designed for generic noise models, which may fail to accurately capture the intricate noise characteristics ...
Yuguo Shao +7 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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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
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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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