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Study of Entanglement in symmetric multi-quDits systems through information diagrams

by Julio Guerrero, Antonio Sojo, Alberto Mayorgas and Manuel Calixto

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Submission summary

Authors (as registered SciPost users): Manuel Calixto · Julio Guerrero · Alberto Mayorgas
Submission information
Preprint Link: scipost_202212_00051v1  (pdf)
Date accepted: 2023-08-11
Date submitted: 2022-12-18 23:28
Submitted by: Guerrero, Julio
Submitted to: SciPost Physics Proceedings
Proceedings issue: 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022)
Ontological classification
Academic field: Physics
Specialties:
  • Mathematical Physics
Approach: Theoretical

Abstract

Along this paper, we analyze the entanglement properties of symmetric multi-quDits systems in a special type of states created from the generalization to U(D) of the usual spin coherent states. By means of parity operators, we define what we call multi-component Schrödinger cat states as parity adapted coherent states. Introducing the tool of information diagrams, that is representations of pairs of entropy measures, we analyze the correlation structure of this type of states and their M-wise reduced density matrices.

Published as SciPost Phys. Proc. 14, 029 (2023)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2023-2-27 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202212_00051v1, delivered 2023-02-27, doi: 10.21468/SciPost.Report.6805

Report

This paper is short extension of results of previous paper by authors in Ref.[1], where main ingredients of the research are given in more details. The basic idea is to construct information diagram for entanglement, based on von Neumann entropy and the linear entropy for parity adapted U(D) spin coherent states. In current work after short review of previous results, the information diagrams are computed for generalizations to different parities of pure even state. Qubit (D=2)and Qitrit (D=3) cases are descibed in details. The results are interesting. The paper is well written and sufficiently informative for the Proceeding paper. It can be published in the present form.

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Author:  Julio Guerrero  on 2023-03-01  [id 3419]

(in reply to Report 1 on 2023-02-27)

We thank the referee for his/her kind report.

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