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Phys Rev Lett. 2016 Feb 19;116(7):070402. doi: 10.1103/PhysRevLett.116.070402. Epub 2016 Feb 17.

Assisted Distillation of Quantum Coherence.

Physical review letters

E Chitambar, A Streltsov, S Rana, M N Bera, G Adesso, M Lewenstein

Affiliations

  1. Department of Physics and Astronomy, Southern Illinois University, Carbondale, Illinois 62901, USA.
  2. ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Spain.
  3. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
  4. ICREA-Institució Catalana de Recerca i Estudis Avançats, Lluis Companys 23, E-08010 Barcelona, Spain.

PMID: 26943512 DOI: 10.1103/PhysRevLett.116.070402

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.

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