Assisted distillation of quantum coherence

Chitambar, E.; Streltsov, A.; Rana, S.; Bera, M. N.; Adesso, Gerardo; Lewenstein, M.

Abstract

We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent operations are allowed on the target system, while general local quantum operations are permitted on the other; this is an operational paradigm that we call local quantum-incoherent operations and classical communication. We show that the asymptotic rate of assisted coherence distillation for pure states is equal to the coherence of assistance, an analog of the entanglement of assistance, whose properties we characterize. Our findings imply a novel interpretation of the von Neumann entropy: it quantifies the maximum amount of extra quantum coherence a system can gain when receiving assistance from a collaborative party. Our results are generalized to coherence localization in a multipartite setting and possible applications are discussed.

Citation

Chitambar, E., Streltsov, A., Rana, S., Bera, M. N., Adesso, G., & Lewenstein, M. (2016). Assisted distillation of quantum coherence. Physical Review Letters, 116(7), https://doi.org/10.1103/PhysRevLett.116.070402

• Journal Article Type: Article
• Acceptance Date: Jan 16, 2016
• Online Publication Date: Feb 17, 2016
• Publication Date: Feb 19, 2016
• Deposit Date: Feb 23, 2017
• Publicly Available Date: Feb 23, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 0031-9007
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 116
• Issue: 7
• DOI: https://doi.org/10.1103/PhysRevLett.116.070402
• Public URL: https://nottingham-repository.worktribe.com/output/775763
• Publisher URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.070402
• Related Public URLs: https://arxiv.org/abs/1507.08171