Efficient and operational quantifier of nondivisibility in terms of channel discrimination
The understanding of open quantum systems is crucial for the development of quantum technologies. Of particular relevance is the characterization of divisible quantum dynamics, seen as a generalization of Markovian processes to the quantum setting. Here, we propose a way to detect divisibility and quantify how nondivisible 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 nondivisibility.
Authors
- Daniel Cavalcanti (ORCID: https://orcid.org/0000-0002-2704-3049)
- Ranieri Nery (ORCID: https://orcid.org/0000-0002-4254-5733)
- Nadja K. Bernardes (ORCID: https://orcid.org/0000-0001-6307-411X)
- Rafael Chaves (ORCID: https://orcid.org/0000-0001-8493-4019)
- Cristhiano Duarte (ORCID: https://orcid.org/0000-0001-7267-1477)
Institutions
- Universidade Federal da Bahia (BR)
- Institute of Photonic Sciences (ES)
- Chapman University (US)
- Universidade Federal de Pernambuco (BR)
- Universidade Federal do Rio Grande do Norte (BR)
- Hospital Ana Nery (BR)
Publication Details
- Journal
- Physical review. A/Physical review, A
- Published
- 2025-02-04
- DOI
- https://doi.org/10.1103/physreva.111.022206
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- John Templeton Foundation
- John E. Fetzer Memorial Trust
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Instituto Nacional de Ciência e Tecnologia de Informação Quântica
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
- Instituto Serrapilheira