Negativity of Quasiprobability Distributions as a Measure of Nonclassicality

Kok Chuan Tan, Seongjeon Choi, and Hyunseok Jeong
Phys. Rev. Lett. 124, 110404 – Published 19 March 2020
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Abstract

We demonstrate that the negative volume of any s-parametrized quasiprobability, including the Glauber-Sudashan P function, can be consistently defined and forms a continuous hierarchy of nonclassicality measures that are linear optical monotones. These measures belong to an operational resource theory of nonclassicality based on linear optical operations. The negativity of the Glauber-Sudashan P function, in particular, can be shown to have an operational interpretation as the robustness of nonclassicality. We then introduce an approximate linear optical monotone, and we show that this nonclassicality quantifier is computable and is able to identify the nonclassicality of nearly all nonclassical states.

  • Figure
  • Received 27 August 2019
  • Accepted 26 February 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.110404

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

Kok Chuan Tan1,2,*, Seongjeon Choi1, and Hyunseok Jeong1,†

  • 1Department of Physics and Astronomy, Seoul National University, Seoul 08826, Republic of Korea
  • 2School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 639673, Republic of Singapore

  • *bbtankc@gmail.com
  • h.jeong37@gmail.com

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Issue

Vol. 124, Iss. 11 — 20 March 2020

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