Device-independent dimension tests in the prepare-and-measure scenario

Jamie Sikora, Antonios Varvitsiotis, and Zhaohui Wei
Phys. Rev. A 94, 042125 – Published 25 October 2016

Abstract

Analyzing the dimension of an unknown quantum system in a device-independent manner, i.e., using only the measurement statistics, is a fundamental task in quantum physics and quantum information theory. In this paper, we consider this problem in the prepare-and-measure scenario. Specifically, we provide a lower bound on the dimension of the prepared quantum systems, which is a function that only depends on the measurement statistics. Furthermore, we show that our bound performs well in several examples. In particular, we show that our bound provides insights into the notion of dimension witness, and we also use it to show that the sets of restricted-dimensional prepare-and-measure correlations are not always convex.

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  • Received 27 June 2016

DOI:https://doi.org/10.1103/PhysRevA.94.042125

©2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Jamie Sikora1,2, Antonios Varvitsiotis1,2,3, and Zhaohui Wei1,2,3,*

  • 1Centre for Quantum Technologies, National University of Singapore, Singapore
  • 2MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore
  • 3School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore

  • *weizhaohui@gmail.com

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Issue

Vol. 94, Iss. 4 — October 2016

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