Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Quantum Optimization Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Maximal exponent of the Lorentz cones

arXiv
Authors: Guillaume Aubrun, Jing Bai

Year

2023

Paper ID

6406

Status

Preprint

Abstract Read

~2 min

Abstract Words

51

Citations

N/A

Abstract

We show that the maximal exponent (i.e., the minimum number of iterations required for a primitive map to become strictly positive) of the n-dimensional Lorentz cone is equal to n. As a byproduct, we show that the optimal exponent in the quantum Wielandt inequality for qubit channels is equal to 3.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • We show that the maximal exponent (i.e., the minimum number of iterations required for a primitive map to become strictly positive) of the n-dimensional Lorentz cone is equal to n.

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:2311.18634 [2] arXiv https://arxiv.org/abs/2311.18634 [3] Publisher https://arxiv.org/abs/2311.18634

Local Citation Graph (Related-Paper Links)

Current Paper #6406

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.