REVIEW 3 cited by
Dynamical Resources
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
Quantum channels are quintessential to quantum information, being used in all protocols, and describing how systems evolve in space and time. As such, they play a key role in the manipulation of quantum resources, and they are often resources themselves, called dynamical resources. This forces us to go beyond standard resource theories of quantum states. Here we provide a rigorous foundation for dynamical resource theories, where the resources into play are quantum channels, explaining how to manipulate dynamical resources with free superchannels. In particular, when the set of free superchannels is convex, we present a novel construction of an infinite and complete family of convex resource monotones, giving necessary and sufficient conditions for convertibility under free superchannels. After showing that the conversion problem in convex dynamical resource theories can be solved with conic linear programming, we define various resource-theoretic protocols for dynamical resources. These results serve as the framework for the study of concrete examples of theories of dynamical resources, such as dynamical entanglement theory.
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.
-
Towards the simulation of higher-order quantum resources: a general type-theoretic approach
A type system with a generalized parallel product and higher-order complete-positivity cones is proposed as a uniform framework for higher-order quantum theory.
-
Uncertainty and entropies of classical channels
Classical channels are ordered by a majorization preorder that arises identically from three definitions, and Shannon and Rényi entropies extend to channels through optimal extensions.
Discussion (0). Sign in to comment.