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Square Root Statistics of Density Matrices and Their Applications.
Ye, Lyuzhou; Huang, Youyi; Osborn, James C; Wei, Lu.
Afiliación
  • Ye L; Department of Computer Science, Texas Tech University, Lubbock, TX 79409, USA.
  • Huang Y; Department of Computer Science, Texas Tech University, Lubbock, TX 79409, USA.
  • Osborn JC; Computational Science Division, Argonne National Laboratory, Argonne, IL 60439, USA.
  • Wei L; Department of Computer Science, Texas Tech University, Lubbock, TX 79409, USA.
Entropy (Basel) ; 26(1)2024 Jan 12.
Article en En | MEDLINE | ID: mdl-38248192
ABSTRACT
To estimate the degree of quantum entanglement of random pure states, it is crucial to understand the statistical behavior of entanglement indicators such as the von Neumann entropy, quantum purity, and entanglement capacity. These entanglement metrics are functions of the spectrum of density matrices, and their statistical behavior over different generic state ensembles have been intensively studied in the literature. As an alternative metric, in this work, we study the sum of the square root spectrum of density matrices, which is relevant to negativity and fidelity in quantum information processing. In particular, we derive the finite-size mean and variance formulas of the sum of the square root spectrum over the Bures-Hall ensemble, extending known results obtained recently over the Hilbert-Schmidt ensemble.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Entropy (Basel) Año: 2024 Tipo del documento: Article País de afiliación: Estados Unidos Pais de publicación: Suiza
Texto completo
Añadir a Mi BVS
Imprimir
XML
PubMed Links
Buscar en Google

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Entropy (Basel) Año: 2024 Tipo del documento: Article País de afiliación: Estados Unidos Pais de publicación: Suiza