Quantum simultaneous measurement of non-commuting observables based on K-means clustering
Cui, Wei 1Yang, Yang1
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作者信息
1. South China Univ Technol
折叠
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. (C) 2021 Elsevier B.V. All rights reserved.
Key words
Quantum non-commuting measurement/Quantum control theory/K-means clustering
NSTL
Elsevier