REVIEW 3 cited by
Quantum Stein's lemma revisited, inequalities for quantum entropies, and a concavity theorem of Lieb
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
We derive the monotonicity of the quantum relative entropy by an elementary operational argument based on Stein's lemma in quantum hypothesis testing. For the latter we present an elementary and short proof that requires the law of large numbers only. Joint convexity of the quantum relative entropy is proven too, resulting in a self-contained elementary version of Tropp's approach to Lieb's concavity theorem, according to which the map tr(exp(h+log a)) is concave in a on positive operators for self-adjoint h.
Forward citations
Cited by 3 Pith papers
-
Maximum channel entropy principle and microcanonical channels
A maximum-entropy principle for quantum channels yields thermal channels with exponential form, analogous to thermal states.
-
Thermalization with partial information
A maximum channel entropy principle, backed by a microcanonical-style derivation, identifies the canonical noisy channel that models thermalization under partial information.
-
Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints
Derives single-letter Stein exponent for distributed quantum binary hypothesis testing under zero-rate communication when the alternative state is a product of marginals, with multi-letter expressions for the general case.
Discussion (0). Continue with ORCID to comment.