Quick Navigation
Topics
Topological Quantum Computing
Quantum Entropy Information Measures
Entanglement Theory Quantum Correlations
Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting
arXiv
Authors: Bartlomiej Czech, Sirui Shuai, Yixu Wang, Daiming Zhang
Year
2023
Paper ID
54418
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN). It associates the inequalities with tessellations of the torus and the projective plane, which reflect a certain topological aspect of EWN. The inequalities prove a prior conjecture about the structure of the holographic entropy cone and show an interesting interplay with differential entropy.
Why This Paper Matters
- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
- It adds a 2023 reference point for readers tracking recent quantum research.
- We prove two new infinite families of holographic entropy inequalities.
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.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
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.