Chen, Eddy Keming and Tumulka, Roderich (2020) Uniform Probability Distribution Over All Density Matrices. [Preprint]
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Abstract
Let H be a finitedimensional 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  

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Keywords:  random matrix theory, finitedimensional 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:  http://philsciarchive.pitt.edu/id/eprint/17034 
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 Uniform Probability Distribution Over All Density Matrices. (deposited 30 Mar 2020 04:23) [Currently Displayed]
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