Algebraic Methods of the Study of Quantum Information Transfer Channels

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Algebraic Methods of the Study of Quantum Information Transfer Channels. / Amosov, G. G.

In: Journal of Mathematical Sciences (United States), Vol. 241, No. 2, 28.08.2019, p. 109-116.

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

Author

Amosov, G. G. / Algebraic Methods of the Study of Quantum Information Transfer Channels. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 241, No. 2. pp. 109-116.

BibTeX

@article{0687fb4cabd648408f50a3c3f419804e,

title = "Algebraic Methods of the Study of Quantum Information Transfer Channels",

abstract = "Kraus representation of quantum information transfer channels is widely used in practice. We present examples of Kraus decompositions for channels that possess the covariance property with respect to the maximal commutative group of unitary operators. We show that in some problems (for example, the problem on the estimate of the minimal output entropy of the channel), the choice of a Kraus representation with nonminimal number of Kraus operators is relevant. We also present certain algebraic properties of noncommutative operator graphs generated by Kraus operators for the case of quantum channels that demonstrate the superactivation phenomenon.",

keywords = "Kraus decomposition, minimal output entropy, noncommutative operator graph, quantum channel, quantum channel capacity with zero error",

author = "Amosov, {G. G.}",

year = "2019",

month = aug,

day = "28",

doi = "10.1007/s10958-019-04411-w",

language = "English",

volume = "241",

pages = "109--116",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Algebraic Methods of the Study of Quantum Information Transfer Channels

AU - Amosov, G. G.

PY - 2019/8/28

Y1 - 2019/8/28

N2 - Kraus representation of quantum information transfer channels is widely used in practice. We present examples of Kraus decompositions for channels that possess the covariance property with respect to the maximal commutative group of unitary operators. We show that in some problems (for example, the problem on the estimate of the minimal output entropy of the channel), the choice of a Kraus representation with nonminimal number of Kraus operators is relevant. We also present certain algebraic properties of noncommutative operator graphs generated by Kraus operators for the case of quantum channels that demonstrate the superactivation phenomenon.

AB - Kraus representation of quantum information transfer channels is widely used in practice. We present examples of Kraus decompositions for channels that possess the covariance property with respect to the maximal commutative group of unitary operators. We show that in some problems (for example, the problem on the estimate of the minimal output entropy of the channel), the choice of a Kraus representation with nonminimal number of Kraus operators is relevant. We also present certain algebraic properties of noncommutative operator graphs generated by Kraus operators for the case of quantum channels that demonstrate the superactivation phenomenon.

KW - Kraus decomposition

KW - minimal output entropy

KW - noncommutative operator graph

KW - quantum channel

KW - quantum channel capacity with zero error

UR - http://www.scopus.com/inward/record.url?scp=85069916660&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04411-w

DO - 10.1007/s10958-019-04411-w

M3 - Article

AN - SCOPUS:85069916660

VL - 241

SP - 109

EP - 116

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 75034390