Geometric Measure of non-Commuting Simultaneous Measurement based on K-Means Clustering
Quantum Physics
2018-12-14 v1
Abstract
Considering the simultaneous measurement of non-commuting observables, we define a geometric measure for the degree of non-commuting behavior of quantum measurements coming from the initial and final states of the measurements. The rationality of our geometric measure is demonstrated and the application of it is presented. The connection between our measure and Heisenberg's uncertainty principle is discussed as well. Our work deepens the understanding of quantum non-commuting measurement.
Keywords
Cite
@article{arxiv.1812.05277,
title = {Geometric Measure of non-Commuting Simultaneous Measurement based on K-Means Clustering},
author = {Yang Yang and Wei Cui},
journal= {arXiv preprint arXiv:1812.05277},
year = {2018}
}