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基于不精确测量的量子导引

Quantum Steering with Imprecise Measurements.

作者信息

Tavakoli Armin

机构信息

Physics Department, Lund University, Box 118, 22100 Lund, Sweden.

出版信息

Phys Rev Lett. 2024 Feb 16;132(7):070204. doi: 10.1103/PhysRevLett.132.070204.

DOI:10.1103/PhysRevLett.132.070204
PMID:38427889
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 generalized quantum steering scenarios, where the shared quantum state does not need to be separable, but is instead limited by some other entanglement property.

摘要

我们研究量子导引实验,并不假定可信方能够完美控制其测量设备。相反,我们引入一种情形,其中这些测量存在微小的不精确性。我们表明,微小的测量不精确性在导引不等式的误报方面可能产生很大的不利影响,并且这种效应在高维系统中可能变得更加显著。然后,我们引入一种方法,在二分导引不等式测试中考虑一般的测量不精确性。此方法返回的修正导引界限是解析的、易于计算的,并且对于任意维度的著名导引测试族甚至是最优的。此外,它同样适用于广义量子导引情形,其中共享量子态不需要是可分离的,而是受其他一些纠缠性质的限制。

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