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quant-ph2022★ 1 cited
Probability density functions of quantum mechanical observable uncertainties
Lin Zhang, Jinping Huang, Jiamei Wang +1
We study the uncertainties of quantum mechanical observables, quantified by the standard deviation (square root of variance) in Haar-distributed random pure states. We derive analy…
quant-ph2017★ 10 cited
Spectral density of mixtures of random density matrices for qubits
Lin Zhang, Jiamei Wang, Zhihua Chen
We derive the spectral density of the equiprobable mixture of two random density matrices of a two-level quantum system. We also work out the spectral density of mixture under the…
quant-ph2016★ 4 cited
Average of uncertainty-product for bounded observables
Lin Zhang, Jiamei Wang
The goal of this paper is to calculate exactly the average of uncertainty-product of two bounded observables and to establish its typicality over the whole set of finite dimensiona…