Quantum steering with imprecise measurements

• URL: http://arxiv.org/abs/2308.15356v3
• Date: Mon, 27 Nov 2023 23:11:53 GMT
• Title: Quantum steering with imprecise measurements
• Authors: Armin Tavakoli
• Abstract summary: We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities, and that this effect can become even more relevant for high-dimensional systems. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities. The revised steering bounds returned by this method are analytical, easily computable, and are even optimal for well-known families of arbitrary-dimensional steering tests. Furthermore, it applies equally well to generalised quantum steering scenarios, where the shared quantum state does not need to be separable, but is instead limited by some other entanglement property.

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