Entanglement-assisted codeword-stabilized quantum codes with imperfect ebits

Byungkyu Ahn; Jeonghwan Shin; Jun Heo

doi:10.1016/j.icte.2016.05.005

Entanglement-assisted codeword-stabilized quantum codes with imperfect ebits

Byungkyu Ahn, Jeonghwan Shin, Jun Heo

Research output: Contribution to journal › Article › peer-review

Abstract

In quantum communication systems, quantum error-correcting codes (QECCs) are known to exhibit improved performance with the use of error-free entanglement bits (ebits). In practical situations, ebits inevitably suffer from errors, and as a result, the error-correcting capability of the code is diminished. Previous studies have proposed two different schemes as a solution. One study uses only one QECC to correct errors on the receiver side (i.e., Bob) and sender side (i.e., Alice). The other uses different QECCs on each side. In this paper, we present a method to correct errors on both sides by using single nonadditive entanglement-assisted codeword stabilized quantum error-correcting code (EACWS QECC). We use the property that the number of effective error patterns decreases as much as the number of ebits. This property results in a greater number of logical codewords using the same number of physical qubits.

Original language	English
Pages (from-to)	47-52
Number of pages	6
Journal	ICT Express
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/j.icte.2016.05.005
Publication status	Published - 2016 Jun 1

Bibliographical note

Funding Information:
“This research was supported by the MSIP (Ministry of Science, ICT and Future Planning), Korea , under the ITRC (Information Technology Research Center) support program ( IITP-2016-R0992-16-1017 ) supervised by the IITP (Institute for Information & communications Technology Promotion)”.

Publisher Copyright:
© 2016 The Korean Institute of Communications Information Sciences

Keywords

Entanglement-assisted codeword-stabilized code
Imperfect ebits
Quantum error-correcting code

ASJC Scopus subject areas

Software
Information Systems
Hardware and Architecture
Computer Networks and Communications
Artificial Intelligence

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10.1016/j.icte.2016.05.005

Cite this

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abstract = "In quantum communication systems, quantum error-correcting codes (QECCs) are known to exhibit improved performance with the use of error-free entanglement bits (ebits). In practical situations, ebits inevitably suffer from errors, and as a result, the error-correcting capability of the code is diminished. Previous studies have proposed two different schemes as a solution. One study uses only one QECC to correct errors on the receiver side (i.e., Bob) and sender side (i.e., Alice). The other uses different QECCs on each side. In this paper, we present a method to correct errors on both sides by using single nonadditive entanglement-assisted codeword stabilized quantum error-correcting code (EACWS QECC). We use the property that the number of effective error patterns decreases as much as the number of ebits. This property results in a greater number of logical codewords using the same number of physical qubits.",

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N2 - In quantum communication systems, quantum error-correcting codes (QECCs) are known to exhibit improved performance with the use of error-free entanglement bits (ebits). In practical situations, ebits inevitably suffer from errors, and as a result, the error-correcting capability of the code is diminished. Previous studies have proposed two different schemes as a solution. One study uses only one QECC to correct errors on the receiver side (i.e., Bob) and sender side (i.e., Alice). The other uses different QECCs on each side. In this paper, we present a method to correct errors on both sides by using single nonadditive entanglement-assisted codeword stabilized quantum error-correcting code (EACWS QECC). We use the property that the number of effective error patterns decreases as much as the number of ebits. This property results in a greater number of logical codewords using the same number of physical qubits.

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Entanglement-assisted codeword-stabilized quantum codes with imperfect ebits

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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