Results 31 to 40 of about 533,291 (281)
Catalytic quantum error correction [PDF]
, 2006 We develop the theory of entanglement-assisted quantum error correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to pre-shared entanglement.
Brun, Todd +2 more
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Triorthogonal codes and self-dual codes
Quantum Information Processing21 ...
Minjia Shi +3 more
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Dual codes of product semi-linear codes
Linear Algebra and its Applications, 2014 v1: 37 pages; v2: 31 pages, the presentation of the main topics is improved by some minor changes and additional results, and some mistakes and typos have been ...
Luis Felipe Tapia Cuitiño +1 more
openaire +2 more sources
Application of Constacyclic codes to Quantum MDS Codes
, 2014 Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. To get $q$-ary quantum MDS codes, it suffices to find linear MDS codes $C$ over $\mathbb{F}_{q^2}$ satisfying $C^{\perp_H}\subseteq C$ by the Hermitian construction ...
Chen, Bocong, Ling, San, Zhang, Guanghui
core +1 more source
CoRRMultivariate multiplicity codes have been recently explored because of their importance for list decoding and local decoding. Given a multivariate multiplicity code, in this paper, we compute its dimension using Gröbner basis tools, its dual in terms of indicator functions, and explicitly describe a parity-check matrix.
Eduardo Camps-Moreno +5 more
openaire +2 more sources
Code Generation as a Dual Task of Code Summarization
CoRR, 2019 To appear at the 33rd Conference on Neural Information Processing Systems (NeurIPS ...
Bolin Wei +4 more
openaire +3 more sources
Graph-Based Classification of Self-Dual Additive Codes over Finite Fields
, 2008 Quantum stabilizer states over GF(m) can be represented as self-dual additive codes over GF(m^2). These codes can be represented as weighted graphs, and orbits of graphs under the generalized local complementation operation correspond to equivalence ...
Danielsen, Lars Eirik
core +4 more sources
Skew Cyclic Codes Over ℤ4 +
IEEE AccessThis paper investigates the algebraic structure and properties of skew cyclic codes over the finite chain ring $R = \mathbb {Z}_{4} + u\mathbb {Z}_{4}$ , where $u^{2} = 0$ .
Eda Tekin
doaj +1 more source
Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]
ITM Web of ConferencesLinear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj +1 more source
Computational Results of Duadic Double Circulant Codes
, 2012 Quadratic residue codes have been one of the most important classes of algebraic codes. They have been generalized into duadic codes and quadratic double circulant codes.
Han, Sunghyu, Kim, Jon-Lark
core +1 more source