Results 21 to 30 of about 529,213 (275)
Dual Quantum Zeno Superdense Coding [PDF]
Scientific Reports, 2019 AbstractQuantum superdense coding enables a sender to encode a two-bit classical message in one qubit using the preshared entanglement. In this paper, we develop a superdense coding protocol using a dual quantum Zeno (DQZ) gate to take the full advantage of quantum superdense coding from the complete Bell-state analysis.
Fakhar Zaman +2 more
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Hermitian Self-Dual Abelian Codes [PDF]
IEEE Transactions on Information Theory, 2014 Hermitian self-dual abelian codes in a group ring Fq2[G], where Fq2 is a finite field of order q2 and G is a finite abelian group, are studied. Using the well-known discrete Fourier transform decomposition for a semisimple group ring, a characterization of Hermitian self-dual abelian codes in Fq2[G] is given, together with an alternative proof of ...
Jitman, Somphong +2 more
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Classification of quaternary Hermitian self-dual codes of length 20 [PDF]
, 2010 A classification of quaternary Hermitian self-dual codes of length 20 is given. Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.Comment: 9 pages.
Harada, Masaaki, Munemasa, Akihiro
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Near-Extremal Type I Self-Dual Codes with Minimal Shadow over GF(2) and GF(4)
Information, 2018 Binary self-dual codes and additive self-dual codes over GF(4) contain common points. Both have Type I codes and Type II codes, as well as shadow codes. In this paper, we provide a comprehensive description of extremal and near-extremal Type I codes over
Sunghyu Han
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Sultan Qaboos University Journal for Science, 2009 The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
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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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Polycyclic Codes and Their Application in Constructing AEAQECCs
AxiomsIn this article, we study polycyclic codes over the ring R=Fq[v]/⟨v2−1⟩, where q=pm with p being an odd prime. First, we introduce polycyclic codes and sequential codes over R, and characterize the structural properties of these polycyclic codes.
Juan Li, Yunbo Tian, Fanghui Ma
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Entropy, 2020 A new class of convolutional codes, called skew convolutional codes, that extends the class of classical fixed convolutional codes, is proposed.
Vladimir Sidorenko +3 more
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On Z₂Z₂[u³]-Additive Cyclic and Complementary Dual Codes
IEEE Access, 2021 Aydogdu et al. studied the standard forms of generator and parity-check matrices of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive codes, and presented generators of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive cyclic codes (Finite Fields Appl.
Xiaotong Hou, Xiangrui Meng, Jian Gao
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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
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