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Uniform Probability Distribution Over All Density Matrices

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:
CreatorsEmailORCID
Chen, Eddy Kemingeddykemingchen@ucsd.edu0000-0001-5144-0952
Tumulka, Roderichroderich.tumulka@uni-tuebingen.de0000-0001-5075-9929
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: Keming Chen
Date Deposited: 09 Apr 2020 02:35
Last Modified: 09 Apr 2020 02:35
Item ID: 17056
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 2 April 2020
URI: http://philsci-archive.pitt.edu/id/eprint/17056

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