You're viewing papers too quickly. Please wait a moment.<br>This helps keep the archive available for everyone.

Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Entanglement Theory Quantum Correlations

Moments of quantum purity and biorthogonal polynomial recurrence

arXiv
Authors: Shi-Hao Li, Lu Wei

Year

2021

Paper ID

63340

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

The Bures-Hall ensemble is a unique measure of density matrices that satisfies various distinguished properties in quantum information processing. In this work, we study the statistical behavior of entanglement over the Bures-Hall ensemble as measured by the simplest form of an entanglement entropy - the quantum purity. The main results of this work are the exact second and third moment expressions of quantum purity valid for any subsystem dimensions, where the corresponding results in the literature are limited to the scenario of equal subsystem dimensions. In obtaining the results, we have derived recurrence relations of the underlying integrals over the Cauchy-Laguerre biorthogonal polynomials that may be of independent interest.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2021 reference point for readers tracking recent quantum research.
  • The Bures-Hall ensemble is a unique measure of density matrices that satisfies various distinguished properties in quantum information processing.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2107.04637 [2] arXiv https://arxiv.org/abs/2107.04637 [3] Publisher https://arxiv.org/abs/2107.04637

Local Citation Graph (Related-Paper Links)

Current Paper #63340 #68463 Full characterization of inform... #68461 Agreement and Compatibility in ... #68455 Mediative Fuzzy Logic: From Typ... #68426 On the Approximate Non-Determin...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.