Chen, Eddy Keming and Tumulka, Roderich (2020) Uniform Probability Distribution Over All Density Matrices. [Preprint]

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Abstract

Let H be a finite-dimensional complex Hilbert space and D the set of density matrices on H, i.e., the positive operators with trace 1. Our goal in this note is to identify a probability measure u on D that can be regarded as the uniform distribution over D. We propose a measure on D, argue that it can be so regarded, discuss its properties, and compute the joint distribution of the eigenvalues of a random density matrix distributed according to this measure.

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Item Type:	Preprint
Creators:	Creators Email ORCID Chen, Eddy Keming eddykemingchen@ucsd.edu 0000-0001-5144-0952 Tumulka, Roderich roderich.tumulka@uni-tuebingen.de 0000-0001-5075-9929
Keywords:	random matrix theory, finite-dimensional Hilbert space, Past Hypothesis, Statistical Postulate, density matrix
Subjects:	Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User:	Dr. Eddy Keming Chen
Date Deposited:	30 Mar 2020 04:23
Last Modified:	30 Mar 2020 04:23
Item ID:	17034
Subjects:	Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date:	29 March 2020
URI:	https://philsci-archive.pitt.edu/id/eprint/17034

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• Uniform Probability Distribution Over All Density Matrices. (deposited 30 Mar 2020 04:23) [Currently Displayed]
  • Uniform Probability Distribution Over All Density Matrices. (deposited 09 Apr 2020 02:35)

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