Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

A general proof of integer Rényi QNEC

arXiv
Authors: Tanay Kibe, Pratik Roy

Year

2026

Paper ID

63950

Status

Preprint

Abstract Read

~2 min

Abstract Words

123

Citations

N/A

Abstract

The Rényi quantum null energy condition conjectures that the second null shape variation of the sandwiched Rényi divergence (SRD) of an excited state relative to the vacuum is non-negative in local Poincaré-invariant quantum field theory, giving a one-parameter generalization of the quantum null energy condition (QNEC). We prove Rényi QNEC for all integer Rényi parameters ngeq 2 for von Neumann algebras carrying a half-sided modular inclusion structure. The only assumption on the excited state is finiteness of its SRD relative to the vacuum. Concretely, for any σ-finite von Neumann algebra with such an inclusion, we prove log-convexity, under the associated null-translation semigroup, of the Kosaki Ln norm of any normal positive functional with finite Ln norm.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • The Rényi quantum null energy condition conjectures that the second null shape variation of the sandwiched Rényi divergence (SRD) of an excited state relative to the vacuum is...

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:2605.15272 [2] arXiv https://arxiv.org/abs/2605.15272 [3] Publisher https://arxiv.org/abs/2605.15272

Local Citation Graph (Related-Paper Links)

Current Paper #63950 #73043 Challenges in the simulation of... #73041 Comment on "Beyond-classical co... #73031 A Scalable Approach to Solve th... #73025 Simulation of Lindbladian dynam...

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.