Results 51 to 60 of about 172,944 (286)
Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes
New Journal of Physics, 2022 In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes (‘quasi codes’).
Dong-Sheng Wang +4 more
doaj +1 more source
Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes
, 2008 We construct a new family of quantum MDS codes from classical generalized Reed-Solomon codes and derive the necessary and sufficient condition under which these quantum codes exist. We also give code bounds and show how to construct them analytically. We
F. J. MacWilliams +5 more
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Indeterminate-length quantum coding [PDF]
, 2000 The quantum analogues of classical variable-length codes are indeterminate-length quantum codes, in which codewords may exist in superpositions of different lengths. This paper explores some of their properties.
A. R. Calderbank +18 more
core +2 more sources
Journal of Algebra and Its ApplicationsWe establish dihedral quantum codes of short block length, a class of Calderbank–Shor–Steane (CSS) codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on.
Nadja Willenborg +3 more
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Generalized concatenation for quantum codes [PDF]
2009 IEEE International Symposium on Information Theory, 2009 We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.
Markus Grassl, Peter W. Shor, Bei Zeng
openaire +3 more sources
Some New Classes of Entanglement-Assisted Quantum MDS Codes Derived From Constacyclic Codes
IEEE Access, 2019 Although quantum maximal-distance-separable (MDS) codes that satisfy the quantum singleton bound have become an important research topic in the quantum coding theory, it is not an easy task to search for quantum MDS codes with the minimum distance that ...
Jianzhang Chen +4 more
doaj +1 more source
Quantum Error Correction Via Noise Guessing Decoding
IEEE Access, 2023 Quantum error correction codes (QECCs) play a central role in both quantum communications and quantum computation. Practical quantum error correction codes, such as stabilizer codes, are generally structured to suit a specific use, and present rigid code
Diogo Cruz +2 more
doaj +1 more source
Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization
, 2013 Using the Calderbank-Shor-Steane (CSS) construction, pure $q$-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes.
HAN MAO KIAH +5 more
core +1 more source
Distributed Quantum Dense Coding [PDF]
Physical Review Letters, 2004 We introduce the notion of distributed quantum dense coding, i.e. the generalization of quantum dense coding to more than one sender and more than one receiver. We show that global operations (as compared to local operations) of the senders do not increase the information transfer capacity, in the case of a single receiver.
Bruss D. +5 more
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Entanglement-assisted quantum low-density parity-check codes [PDF]
, 2010 This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory.
C. J. Colbourn +25 more
core +4 more sources