Results 1 to 10 of about 107,593 (167)
Total perfect codes in graphs realized by commutative rings [PDF]
Transactions on Combinatorics, 2022 Let $R$ be a commutative ring with unity not equal to zero and let $\Gamma(R)$ be a zero-divisor graph realized by $R$. For a simple, undirected, connected graph $G = (V, E)$, a {\it total perfect code} denoted by $C(G)$ in $G$ is a subset $C(G ...
Rameez Raja
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Applications of the Projective Space PG (3,8) in Coding Theory [PDF]
مجلة التربية والعلم, 2023 The main objective of this research is to present the relationship between the subject of coding theory and three-dimensional projection space in the eighth field.
Marwa Almstufa, Nada Yahya
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Pipelined correlated minimum weight perfect matching of the surface code [PDF]
Quantum, 2023 We describe a pipeline approach to decoding the surface code using minimum weight perfect matching, including taking into account correlations between detection events.
Alexandru Paler, Austin G. Fowler
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Perfect and Quasi-Perfect Codes for the Bosonic Classical-Quantum Channel
IEEE Transactions on Quantum Engineering, 2023 In this article, we explore perfect and quasi-perfect codes for the Bosonic channel, where information is generated by a laser and conveyed in the form of coherent states.
Andreu Blasco Coll, Javier R. Fonollosa
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Efficient color code decoders in $d\geq 2$ dimensions from toric code decoders [PDF]
Quantum, 2023 We introduce an efficient decoder of the color code in $d\geq 2$ dimensions, the Restriction Decoder, which uses any $d$-dimensional toric code decoder combined with a local lifting procedure to find a recovery operation.
Aleksander Kubica, Nicolas Delfosse
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Coherent errors and readout errors in the surface code [PDF]
Quantum, 2023 We consider the combined effect of readout errors and coherent errors, i.e., deterministic phase rotations, on the surface code. We use a recently developed numerical approach, via a mapping of the physical qubits to Majorana fermions. We show how to use
Áron Márton, János K. Asbóth
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New Applications of Coding Theory in The Projective Space of Order Three
Zanco Journal of Pure and Applied Sciences, 2022 The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective space in field three and test the code.
Hajir Hayder Abdullah ,Nada Yassen Kasm Yahya
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Neural Network Decoders for Large-Distance 2D Toric Codes [PDF]
Quantum, 2020 We still do not have perfect decoders for topological codes that can satisfy all needs of different experimental setups. Recently, a few neural network based decoders have been studied, with the motivation that they can adapt to a wide range of noise ...
Xiaotong Ni
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Screening vs. gevolution: In chase of a perfect cosmological simulation code
Physics Letters B, 2022 We compare two competing relativistic approaches to the N-body simulation of the Universe large-scale structure. To this end, employing the corresponding alternative computer codes (“gevolution” and “screening”), we conduct a series of cosmological ...
Maxim Eingorn +2 more
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Advances in Mathematics of Communications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luciano Panek +3 more
openaire +3 more sources