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MiS Preprint
106/2019

Incompatibility probability of random quantum measurements

Lin Zhang, Hua Xiang, Xianqing Li-Jost and Shao-Ming Fei

Abstract

Incompatibility of quantum measurements is of fundamental importance in quantum mechanics. It is closely related to many nonclassical phenomena such as Bell nonlocality, quantum uncertainty relations, and quantum steering. We study the necessary and sufficient conditions of quantum compatibility for a given collection of n measurements in d-dimensional space. From the compatibility criterion for two-qubit measurements, we compute the incompatibility probability of a pair of independent random measurements. For a pair of unbiased random qubit measurements, we derive that the incompatibility probability is exactly 35 . Detailed results are also presented in figures for pairs of general qubit measurements.

Received:
Dec 28, 2019
Published:
Dec 28, 2019
Keywords:
random quantum measurement, incompatibility probability, joint measurement

Related publications

inJournal
2019 Repository Open Access
Lin Zhang, Hua Xiang, Xianqing Li-Jost and Shao-Ming Fei

Incompatibility probability of random quantum measurements

In: Physical review / E, 100 (2019) 6, p. 062139