Statistical properties of random density matrices

By H. Sommers, Karol Zyczkowski. 2004

146 citations recorded by the source corpus.

Statistical properties of ensembles of random density matrices are investigated. We compute traces and von Neumann entropies averaged over ensembles of random density matrices distributed according to the Bures measure. The eigenvalues of the random density matrices are analysed: we derive the eigenvalue distribution for the Bures ensemble which is shown to be broader then the quarter-circle distribution characteristic of the Hilbert–Schmidt ensemble. For measures induced by partial tracing over the environment we compute exactly the two-point eigenvalue correlation function.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f067b06649ca6513cee8e356a4bf95b8bc7554fd

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

In Statistics and Probability

Citations in the corpus

Aspects of Generic Entanglement (2004, background): “Are our results still true, for example, if one substitutes the Bures measure [18, 46 ] for our choice? 6. How does one construct random states? Are there physical processes that will naturally produce states of the type we have studied here? One possibility for engineering them would be to use the”
Generating random density matrices (2010, methodology): “The asymptotic probability distribution for the rescaled eigenvalue x = Nλ of a random density matrix generated according to the Bures ensemble reads [20]”