Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Open Quantum Systems Decoherence

Optimizing positive maps in the matrix algebra Mn

arXiv
Authors: Anindita Bera, Gniewomir Sarbicki, Dariusz Chruściński

Year

2023

Paper ID

54760

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

We present an optimization procedure for a seminal class of positive maps τn,k in the algebra of n times n complex matrices introduced and studied by Tanahasi and Tomiyama, Ando, Nakamura and Osaka. Recently, these maps were proved to be optimal whenever the greatest common divisor GCD(n,k)=1. We attain a general conjecture how to optimize a map τn,k when GCD(n,k)=2 or 3. For GCD(n,k)=2, a series of analytical results are derived and for GCD(n,k)=3, we provide a suitable numerical analysis.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • We present an optimization procedure for a seminal class of positive maps τn,k in the algebra of n times n complex matrices introduced and studied by Tanahasi and Tomiyama...

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:2309.09621 [2] arXiv https://arxiv.org/abs/2309.09621 [3] Publisher https://arxiv.org/abs/2309.09621

Local Citation Graph (Related-Paper Links)

Current Paper #54760

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.