Optimal distillation of quantum coherence with reduced waste of resources

Abstract

We present an optimal probabilistic protocol to distill quantum coherence. Inspired by a specific entanglement distillation protocol, our main result yields a strictly incoherent operation that produces one of a family of maximally coherent states of variable dimension from any pure quantum state. We also expand this protocol to the case where it is possible, for some initial states, to avert any waste of resources as far as the output states are concerned, by exploiting an additional transformation into a suitable intermediate state. These results provide practical schemes for efficient quantum resource manipulation.

Citation

Torun, G., Lami, L., Adesso, G., & Yildiz, A. (2019). Optimal distillation of quantum coherence with reduced waste of resources. Physical Review A, 99(1), Article 012321. https://doi.org/10.1103/physreva.99.012321

• Journal Article Type: Article
• Acceptance Date: Dec 27, 2018
• Online Publication Date: Jan 14, 2019
• Publication Date: Jan 14, 2019
• Deposit Date: Jan 23, 2019
• Publicly Available Date: Jan 23, 2019
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 99
• Issue: 1
• Article Number: 012321
• DOI: https://doi.org/10.1103/physreva.99.012321
• Keywords: Quantum Physics; Mathematical Physics
• Public URL: https://nottingham-repository.worktribe.com/output/1491168
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.012321