Cyclic additive and quantum stabilizer codes

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August undefined, 2024

WebWe study quantum stabilizer codes and their connection to classical block codes. In addition, di erent constructions of quantum stabilizer codes and methods of modifying …

Good Stabilizer Codes from Quasi-Cyclic Codes over

WebStabilizer codes Stabilizer code Q is determined by an Abelian stabilizer group S of Pauli operators Q fj i : S j i = j i;8S 2 S g If S = hG 1;:::;G n ki, with (n k) generators, the code … WebJun 12, 2024 · We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over $\\mathbb{F}_4$ and $\\mathbb{F}_9$ to derive good qubit and … males with xyy sex chromosomal structure

Cyclic Additive and Quantum Stabilizer Codes SpringerLink

WebThe connection between quantum stabilizer codes and classical additive codes was initially formulated by the independent works of Calderbank, Rains, Shor, and Sloane [3] … WebGeneral theory of CWS codes guarantees that gener- The stabilizer of an additive CWS code Q = (G, C) is ator matrix of a quantum code equivalent to any addi- a subgroup of … WebAdditive quaternary codes of small length (coauthors G. Faina, S. Marcugini, F. Pambianco) Cyclic additive and quantum stabilizer codes . Quantum twisted codes … mall by opryland hotel

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(PDF) Skew cyclic Linear codes over 𝑹 = 𝑅 + 𝑤𝑅 + 𝑤2𝑅

WebGeneralized additive models were used to assess the nonlinear response of the C:N ratio over time, expressed in terms of days since the study onset, and sampling date was … WebAug 5, 2024 · $\begingroup$ @IanGershonTeixeira Have a look in the Calderbank et al. paper which I mentioned. The code spaces arise by mapping the stabilizer group to … malin near meWebQuantum codes over finite rings have the advantage of being able to adapt to quantum physical systems with arbitrary order. Furthermore, operations are much easier to … mallowsour

"WebDec 21, 2011 · we give several upper bounds on the distance of a generic (additive or non-additive) CWS code, and the lower Gilbert-Varshamov bound for the existence of … " - Cyclic additive and quantum stabilizer codes

Cyclic additive and quantum stabilizer codes

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WebWe consider design of the quantum stabilizer codes via a two-step, low-complexity approach based on the framework of codeword-stabilized (CWS) codes. In this … WebMonday, December 9, 2024, 13:00, Lecture Room B Application of the method of localized Lagrange multipliers to the partitioned solution of large-scale structural dynamic systems: …

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WebMar 2, 2024 · In this short letter, our main objective is to construct good quantum stabilizer codes over small fields, which have a more potential possibility to be employed in actual … WebAbstract: We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F 4 and F 9 to derive good qubit and qutrit stabilizer codes, respectively. In …

WebJun 21, 2007 · The theory of additive cyclic codes and of cyclic quantum stabilizer codes are developed and it is shown that the values of these codes can be modified for … WebJun 1, 2007 · Ashikhmin, A., Knill, E.: Nonbinary quantum stabilizer codes. IEEE Transactions on Information Theory 47, 3065-3072 (2001). Google Scholar; Bierbrauer, …

WebPHYSICAL REVIEW A 84, 062319 (2011) Design of additive quantum codes via the code-word-stabilized framework Alexey A. Kovalev,1 Ilya Dumer,2 and Leonid P. Pryadko1 … WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display).

WebQuantum stabilizer codes defined by symplectic self-dual additive codes. Creation in terms of a generator matrix. Construction of a cyclic code given the generator …

WebApr 12, 2024 · Today, additive manufacturing (AM) is considered one of the vital tenets of the industry 4.0 revolution due to its high productivity, decentralized production and rapid … mallorymonroebookscomWebCyclic Additive and Quantum Stabilizer Codes. Jürgen Bierbrauer. Cyclic Additive and Quantum Stabilizer Codes. In Claude Carlet, Berk Sunar, editors, Arithmetic of Finite … malonehealthcareelearningWebTo do so, we apply the classical quaternary representation of stabilizer codes and extend our recent study of one-generator cyclic codes [1]. For any stabilizer generator of … malottery2ndchancedrawingvipclubWebAladdin offers a number of Microcystin-WR,Biotoxin；Algae bloom toxin；Cyanobacterial toxin products. View information & documentation regarding Name maltbcashonWebNov 30, 2024 · Abstract. For any odd prime p, we study constacyclic codes of length n over the finite commutative non-chain ring Rk, m = Fpm[u1, u2, …, uk] / u2i − 1, uiuj − ujui i ≠ j … maltacpathWebCite this paper. Bierbrauer, J. (2007). Cyclic Additive and Quantum Stabilizer Codes. In: Carlet, C., Sunar, B. (eds) Arithmetic of Finite Fields. malodyeffectWebHagiwara and Imai invented a CSS-type construction of quantum quasi-cyclic LDPC code. Their construction is based on algebraic combinatorics, and the performance of their codes was analyzed in Ref. . Recently, Hsieh et al. proposed and investigated a new type of QLDPC codes from classical quasi-cyclic LDPC codes . malthesans