Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities

R. Y. Teh, L. Rosales-Zárate, B. Opanchuk, and M. D. Reid
Phys. Rev. A 94, 042119 – Published 19 October 2016

Abstract

We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by 12{|N|0+|0|N}, called the two-mode NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms an EPR steering between the two modes and involves certification of an intermode correlation for number, as well as quadrature phase amplitude measurements. We also explain how the signatures certify an Nth order quantum coherence, so the system (for larger N) can be signified to be in a superposition of states distinct by a mesoscopic value of quantum number in each mode. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realizations may be possible for N=2,3.

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  • Received 10 January 2016

DOI:https://doi.org/10.1103/PhysRevA.94.042119

©2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

R. Y. Teh, L. Rosales-Zárate, B. Opanchuk, and M. D. Reid

  • Centre for Quantum and Optical Science, Swinburne University of Technology, Melbourne, Australia

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Issue

Vol. 94, Iss. 4 — October 2016

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