REVIEW 1 cited by
Relating different quantum generalizations of the conditional Renyi entropy
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Recently a new quantum generalization of the Renyi divergence and the corresponding conditional Renyi entropies was proposed. Here we report on a surprising relation between conditional Renyi entropies based on this new generalization and conditional Renyi entropies based on the quantum relative Renyi entropy that was used in previous literature. Our result generalizes the well-known duality relation H(A|B) + H(A|C) = 0 of the conditional von Neumann entropy for tripartite pure states to Renyi entropies of two different kinds. As a direct application, we prove a collection of inequalities that relate different conditional Renyi entropies and derive a new entropic uncertainty relation.
Forward citations
Cited by 1 Pith paper
-
Quantum Information-Theoretical Size Bounds for Conjunctive Queries with Functional Dependencies
Worst-case conjunctive query size bounds can be reformulated with quantum Rényi entropy, producing sound but generally non-tight upper bounds whose classical tight version is recovered only in the α→1 limit.
Discussion (0). Continue with ORCID to comment.