Measurement-device-independent and arbitrarily loss-tolerant verification of quantum steering

InU Jeon and Hyunseok Jeong
Phys. Rev. A 99, 012318 – Published 11 January 2019

Abstract

We propose a method to verify quantum steering for two-qubit states with an arbitrary amount of null results when both the steering and steered parties cannot be trusted. We converted the steering inequality proposed in a recent article [Phys. Rev. X 2, 031003 (2012)] to a corresponding measurement-device-independent steering criterion that depends on the heralding efficiency of the steering party, number of measurement settings, and imperfection of the state preparation. As a result, for a relative frequency of valid measurement outcomes ηh, the steering can be verified using a number of different measurement settings larger than 1/ηh and maximally entangled states. Furthermore, steerability is guaranteed as long as the measurement efficiency of the steered party is nonzero. Our result is useful for loss-tolerant and measurement-device-independent steering tasks.

  • Figure
  • Received 15 June 2018

DOI:https://doi.org/10.1103/PhysRevA.99.012318

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

InU Jeon and Hyunseok Jeong*

  • Center for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea

  • *h.jeong37@gmail.com

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Issue

Vol. 99, Iss. 1 — January 2019

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