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Operational Advantage of Quantum Resources in Subchannel Discrimination

Ryuji Takagi, Bartosz Regula, Kaifeng Bu, Zi-Wen Liu, and Gerardo Adesso
Phys. Rev. Lett. 122, 140402 – Published 10 April 2019
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Abstract

One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless states. We show that this can always be accomplished for all convex resource theories. We establish in particular that any resource state enables an advantage in a channel discrimination task, allowing for a strictly greater success probability than any state without the given resource. Furthermore, we find that the generalized robustness measure serves as an exact quantifier for the maximal advantage enabled by the given resource state in a class of subchannel discrimination problems, providing a universal operational interpretation to this fundamental resource quantifier. We also consider a wider range of subchannel discrimination tasks and show that the generalized robustness still serves as the operational advantage quantifier for several well-known theories such as entanglement, coherence, and magic.

  • Received 29 October 2018
  • Revised 15 January 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.140402

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Ryuji Takagi1,*, Bartosz Regula2,3,4,†, Kaifeng Bu5,6,‡, Zi-Wen Liu7,1,§, and Gerardo Adesso2,∥

  • 1Center for Theoretical Physics and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • 3School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
  • 4Complexity Institute, Nanyang Technological University, 637335, Singapore
  • 5School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, People’s Republic of China
  • 6Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 7Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

  • *rtakagi@mit.edu
  • bartosz.regula@gmail.com
  • kfbu@fas.harvard.edu
  • §zwliu@mit.edu
  • gerardo.adesso@nottingham.ac.uk

See Also

Robustness of Measurement, Discrimination Games, and Accessible Information

Paul Skrzypczyk and Noah Linden
Phys. Rev. Lett. 122, 140403 (2019)

More Entanglement Implies Higher Performance in Channel Discrimination Tasks

Joonwoo Bae, Dariusz Chruściński, and Marco Piani
Phys. Rev. Lett. 122, 140404 (2019)

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Issue

Vol. 122, Iss. 14 — 12 April 2019

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