Coherence monotones of quantum channels based on two generalized quantum relative entropies

By using the Choi–Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified ( r ,  s )-relative entropy and the sandwiched Rényi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we pres...

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Bibliographic Details
Published inLaser physics letters Vol. 20; no. 10; pp. 105209 - 105214
Main Authors Fan, Jiaorui, Wu, Zhaoqi, Fei, Shao-Ming
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2023
Subjects
coherence monotone
quantum channel and Choi–Jamiołkowski isomorphism
relative entropy
sandwiched Rényi relative entropy
unified
Online AccessGet full text
ISSN1612-2011
1612-202X
DOI10.1088/1612-202X/acf36a

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Summary:By using the Choi–Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified ( r ,  s )-relative entropy and the sandwiched Rényi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.
Bibliography:2023LPL0440
ISSN:1612-2011
1612-202X
DOI:10.1088/1612-202X/acf36a