Imprecision plateaus in quantum steering

Fuente: arXiv
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Hauptverfasser: Svegborn, Elna, d'Alessandro, Nicola, Gühne, Otfried, Tavakoli, Armin
Format: Preprint
Veröffentlicht: 2024
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author Svegborn, Elna
d'Alessandro, Nicola
Gühne, Otfried
Tavakoli, Armin
author_facet Svegborn, Elna
d'Alessandro, Nicola
Gühne, Otfried
Tavakoli, Armin
contents We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealised measurements without any incuring cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence and tools for analysing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: they allow for maintaining both the noise- and loss-robustness of standard steering tests and the performance rate of idealised one-sided device-independent random number generators.
format Preprint
id arxiv_https___arxiv_org_abs_2408_12280
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Imprecision plateaus in quantum steering
Svegborn, Elna
d'Alessandro, Nicola
Gühne, Otfried
Tavakoli, Armin
Quantum Physics
We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealised measurements without any incuring cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence and tools for analysing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: they allow for maintaining both the noise- and loss-robustness of standard steering tests and the performance rate of idealised one-sided device-independent random number generators.
title Imprecision plateaus in quantum steering
topic Quantum Physics
url https://arxiv.org/abs/2408.12280