Unambiguous discrimination of fermionic states through local operations and classical communication

Matteo Lugli, Paolo Perinotti, and Alessandro Tosini
Phys. Rev. A 103, 012416 – Published 21 January 2021

Abstract

The paper studies unambiguous discrimination of fermionic states through local operations and classical communication (LOCC). In the task of unambiguous discrimination, no error is tolerated but an inconclusive result is allowed. We show that contrary to the quantum case, it is not always possible to distinguish two fermionic states through LOCC unambiguously with the same success probability as if global measurements were allowed. Furthermore, we prove that we can overcome such a limit through an ancillary system made of two fermionic modes, independently of the dimension of the system, prepared in a maximally entangled state: in this case, LOCC protocols achieve the optimal success probability.

  • Received 14 September 2020
  • Accepted 5 January 2021

DOI:https://doi.org/10.1103/PhysRevA.103.012416

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Matteo Lugli*, Paolo Perinotti, and Alessandro Tosini

  • QUIT Group, Dipartimento di Fisica, Università di Pavia, and INFN Sezione di Pavia, via Bassi 6, 27100 Pavia, Italy

  • *matteo.lugli01@ateneopv.it
  • paolo.perinotti@unipv.it
  • alessandro.tosini@unipv.it

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Issue

Vol. 103, Iss. 1 — January 2021

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