Detecting faked continuous-variable entanglement using one-sided device-independent entanglement witnesses

2013/12/31 by Bogdan Opanchuk, Ludovic Arnaud, M. D. Reid +1
Computer Science · Mathematics · Physics and Astronomy · #Alice (programming language) #Alice and Bob #Computer science #Continuous variable #EPR paradox #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistics #Theoretical physics #Variable (mathematics) #quant-ph

paper · pdf · doi:10.1103/physreva.89.062101

arxiv created 2014/05/06 · openalex publication_date 2014/06/03 · arxiv updated 2014/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We demonstrate the principle of one-sided device-independent continuous-variable (CV) quantum information. In situations of no trust, we show by enactment how the use of standard CV entanglement criteria can mislead Charlie into thinking that Alice and Bob share entanglement, when the data are actually generated classically using a local-hidden-variable theory based on the Wigner function. We distinguish between criteria that demonstrate CV entanglement, and criteria that demonstrate the CV Einstein-Podolsky-Rosen (EPR) steering paradox. We show that the latter, but not the former, are necessarily one-sided device-independent entanglement witnesses, and can be used by Charlie to signify genuine EPR entanglement, if he trusts only Alice. A monogamy result for the EPR steering paradox confirms the security of the shared amplitude values in that case.

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