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Efficient and operational quantifier of divisibility in terms of channel discrimination

Authors :
Nery, Ranieri
Bernardes, Nadja K.
Cavalcanti, Daniel
Chaves, Rafael
Duarte, Cristhiano
Publication Year :
2024

Abstract

The understanding of open quantum systems is crucial for the development of quantum technologies. Of particular relevance is the characterisation of divisible quantum dynamics, seen as a generalisation of Markovian processes to the quantum setting. Here, we propose a way to detect divisibility and quantify how non-divisible a quantum channel is through the concept of channel discrimination. We ask how well we can distinguish generic dynamics from divisible dynamics. We show that this question can be answered efficiently through semidefinite programming, which provides us with an operational and efficient way to quantify divisibility.<br />Comment: 13 pages. 5 figures. Several appendices. Suggestions are welcome!

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2405.19108
Document Type :
Working Paper