Distributed sampling, quantum communication witnesses, and measurement incompatibility

Leonardo Guerini, Marco Túlio Quintino, and Leandro Aolita
Phys. Rev. A 100, 042308 – Published 14 October 2019

Abstract

We study prepare-and-measure experiments where the sender (Alice) receives trusted quantum inputs but has an untrusted state-preparation device and the receiver (Bob) has a fully untrusted measurement device. A distributed-sampling task naturally arises in this scenario, where the goal is for Alice and Bob to reproduce the statistics of his measurements on her quantum inputs using a fixed communication channel. Their performance of this task can certify quantum communication (QC), and this is formalized by measurement-device-independent QC witnesses. Furthermore, we prove that QC can provide an advantage (over classical communication) for distributed sampling if and only if Bob's measurements are incompatible. This gives an operational interpretation to measurement incompatibility and motivates a generalized notion of it related to a subset of quantum states. Our findings have both fundamental and applied implications.

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  • Received 2 May 2019

DOI:https://doi.org/10.1103/PhysRevA.100.042308

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Leonardo Guerini1,*, Marco Túlio Quintino2, and Leandro Aolita3

  • 1International Centre for Theoretical Physics—South American Institute for Fundamental Research & Instituto de Física Teórica—UNESP, R. Dr. Bento Teobaldo Ferraz 271, São Paulo, Brazil
  • 2Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan
  • 3Instituto de Física, Universidade Federal do Rio de Janeiro, P.O. Box 68528, Rio de Janeiro, RJ 21941-972, Brazil

  • *guerini.leonardo@ictp-saifr.org

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Issue

Vol. 100, Iss. 4 — October 2019

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