Optimal distillation of quantum coherence with reduced waste of resources

Gökhan Torun, Ludovico Lami, Gerardo Adesso, and Ali Yildiz
Phys. Rev. A 99, 012321 – Published 14 January 2019

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.

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  • Received 17 October 2018

DOI:https://doi.org/10.1103/PhysRevA.99.012321

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Gökhan Torun1,2,*, Ludovico Lami2,†, Gerardo Adesso2,‡, and Ali Yildiz1,§

  • 1Department of Physics, Istanbul Technical University, Maslak 34469, Istanbul, Turkey
  • 2Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *torung@itu.edu.tr
  • l.lami@nottingham.ac.uk
  • gerardo.adesso@nottingham.ac.uk
  • §yildizali2@itu.edu.tr

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Issue

Vol. 99, Iss. 1 — January 2019

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