REVIEW 3 cited by
How to quantify a dynamical quantum resource
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
Signed reviews
read the original abstract
We show that the generalization of the relative entropy of a resource from states to channels is not unique, and there are at least six such generalizations. We then show that two of these generalizations are asymptotically continuous, satisfy a version of the asymptotic equipartition property, and their regularizations appear in the power exponent of channel versions of the quantum Stein's Lemma. To obtain our results, we use a new type of "smoothing" that can be applied to functions of channels (with no state analog). We call it "liberal smoothing" as it allows for more spread in the optimization. Along the way, we show that the diamond norm can be expressed as a D_max distance to the set of quantum channels, and prove a variety of properties of all six generalizations of the relative entropy of a resource.
Forward citations
Cited by 3 Pith papers
-
Cloning Quantum Channels
The paper unifies state and channel cloning, proves that a channel family can super-replicate only when a certain generator β(x) is nonzero, and exhibits noisy phase gates as the first non-unitary examples.
-
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.
Discussion (0). Continue with ORCID to comment.