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Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication

open access: yesMathematics, 2020
It is an important issue to search for self-orthogonal codes for construction of quantum codes by CSS construction (Calderbank-Sho-Steane codes); in quantum error correction, CSS codes are a special type of stabilizer codes constructed from classical ...
Yansheng Wu, Yoonjin Lee
doaj   +1 more source

Exploiting degeneracy in belief propagation decoding of quantum codes

open access: yesnpj Quantum Information, 2022
Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer codes.
Kao-Yueh Kuo, Ching-Yi Lai
doaj   +1 more source

Construction of quaternary quantum error-correcting codes via orthogonal arrays

open access: yesFrontiers in Physics, 2023
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang   +6 more
doaj   +1 more source

A Nonadditive Quantum Code [PDF]

open access: yesPhysical Review Letters, 1997
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type.
Rains, Eric M.   +3 more
openaire   +2 more sources

Construction of Some New Quantum BCH Codes

open access: yesIEEE Access, 2018
Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have been studied extensively. One can construct quantum stabilizer codes with good parameters using classical BCH codes. In this paper, our goal is to find such classical BCH codes.
Ming Zhang   +3 more
doaj   +1 more source

Quantum bicyclic hyperbolic codes [PDF]

open access: yesQuantum Information Processing, 2020
16 ...
Sankara Sai Chaithanya Rayudu   +1 more
openaire   +2 more sources

Quantum variational learning for quantum error-correcting codes [PDF]

open access: yesQuantum, 2022
Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao   +4 more
doaj   +1 more source

Asymmetric Quantum Codes: New Codes from Old [PDF]

open access: yes, 2013
In this paper we extend to asymmetric quantum error-correcting codes (AQECC) the construction methods, namely: puncturing, extending, expanding, direct sum and the (u|u + v) construction.
La Guardia, Giuliano G.
core   +1 more source

Quantum Serial Turbo Codes [PDF]

open access: yesIEEE Transactions on Information Theory, 2008
We present a theory of quantum serial turbo-codes, describe their iterative decoding algorithm, and study their performances numerically on a depolarization channel. Our construction offers several advantages over quantum LDPC codes. First, the Tanner graph used for decoding is free of 4-cycles that deteriorate the performances of iterative decoding ...
Poulin, David   +2 more
openaire   +4 more sources

Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes [PDF]

open access: yes, 2018
Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation.
Bolt, A., Poulin, D., Stace, T. M.
core   +2 more sources

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