Temporal steering and security of quantum key distribution with mutually unbiased bases against individual attacks

Karol Bartkiewicz, Antonín Černoch, Karel Lemr, Adam Miranowicz, and Franco Nori
Phys. Rev. A 93, 062345 – Published 28 June 2016

Abstract

Temporal steering, which is a temporal analog of Einstein-Podolsky-Rosen steering, refers to temporal quantum correlations between the initial and final state of a quantum system. Our analysis of temporal steering inequalities in relation to the average quantum bit error rates reveals the interplay between temporal steering and quantum cloning, which guarantees the security of quantum key distribution based on mutually unbiased bases against individual attacks. The key distributions analyzed here include the Bennett-Brassard 1984 protocol and the six-state 1998 protocol by Bruss. Moreover, we define a temporal steerable weight, which enables us to identify a kind of monogamy of temporal correlation that is essential to quantum cryptography and useful for analyzing various scenarios of quantum causality.

  • Received 29 February 2016

DOI:https://doi.org/10.1103/PhysRevA.93.062345

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Karol Bartkiewicz1,2,*, Antonín Černoch3, Karel Lemr2, Adam Miranowicz1,4, and Franco Nori4,5

  • 1Faculty of Physics, Adam Mickiewicz University, PL-61-614 Poznań, Poland
  • 2RCPTM, Joint Laboratory of Optics of Palacký University and Institute of Physics of Academy of Sciences of the Czech Republic, 17. listopadu 12, 772 07 Olomouc, Czech Republic
  • 3Institute of Physics of Academy of Science of the Czech Republic, Joint Laboratory of Optics of Palacký University and Institute of Physics of Academy of Sciences of the Czech Republic, 17. listopadu 50A, 77207 Olomouc, Czech Republic
  • 4CEMS, RIKEN, 351-0198 Wako-shi, Japan
  • 5Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA

  • *bark@amu.edu.pl

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Issue

Vol. 93, Iss. 6 — June 2016

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