Distribution of Density Matrices at Fixed Purity for Arbitrary Dimensions

Abstract

Uniformly sampling quantum density matrices has been demonstrated for a long time [Mezzadri, Notices AMS 54, 592 (2007), Zyczkowski, J. Math. Phys. 52, 062201 (2011)] and is a valuable tool in the analysis and testing of quantum relations (e.g., the tightness of an uncertainty relation); in ranking the performance of various tools to witness entanglement, nonlocality, discord, etc.; and in probing the geometry of fundamental quantum properties (e.g, the boundary between separable and entangled states).

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Document Details

Document Type
Technical Report
Publication Date
Nov 17, 2022
Accession Number
AD1197399

Entities

People

  • Christopher C. Tison
  • James Schneeloch
  • Michael L. Fanto
  • Paul M. Alsing
  • Richard J. Birrittella

Organizations

  • Air Force Research Laboratory
  • National Research Council

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Boundaries
  • Computer Programming
  • Computers
  • Death
  • Department Of Defense
  • Distribution Functions
  • Eigenvalues
  • Geometry
  • Information Science
  • Measurement
  • Military Research
  • Numerical Integration
  • Probability
  • Probability Distribution Functions
  • Probability Distributions
  • Quantum Properties
  • Quantum States
  • Random Variables
  • Reservoirs
  • Sampling
  • Two Dimensional
  • Uncertainty

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing