Quantum simultaneous measurement of non-commuting observables based on K-means clustering

Wei Cui and Yang Yang

Physica A: Statistical Mechanics and its Applications, 2022, vol. 588, issue C

Abstract: Simultaneous measurement of non-commuting observables deepens the understanding of Heisenberg’s uncertainty principle and has significant applications to quantum feedback control theory. Here we use techniques from machine learning to define a measure for the degree of non-commuting behavior of quantum measurements coming from the initial and final states of the measurements. Both the measurement strength effect and the angle effect between two observables have been constructed by using the K-means clustering method to reflect the defined non-commutativity measure. The rationality of the measure is demonstrated and its application in obtaining the measurement limitation that physically realizable is presented. Our work helps to advance the understanding of quantum non-commuting measurement and quantum control theory.

Keywords: Quantum non-commuting measurement; Quantum control theory; K-means clustering (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:588:y:2022:i:c:s0378437121008323

DOI: 10.1016/j.physa.2021.126559

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