Genuine quantum coherence
Julio I. de Vicente, Alexander Streltsov

TL;DR
This paper introduces a new framework for quantum coherence based on genuinely incoherent operations that preserve all incoherent states, analyzing their structure and limitations in state transformations.
Contribution
It proposes the concept of genuine quantum coherence and fully incoherent operations, providing a detailed mathematical analysis and highlighting limitations in deterministic state manipulation.
Findings
Deterministic manipulation of coherence is severely limited.
No single state acts as a universal resource (no golden unit).
Genuine incoherent operations are invariant across experimental realizations.
Abstract
Any quantum resource theory is based on free states and free operations, i.e., states and operations which can be created and performed at no cost. In the resource theory of coherence free states are diagonal in some fixed basis, and free operations are those which cannot create coherence for some particular experimental realization. Recently, some problems of this approach have been discussed, and new sets of operations have been proposed to resolve these problems. We propose here the framework of genuine quantum coherence. This approach is based on a simple principle: we demand that a genuinely incoherent operation preserves all incoherent states. This framework captures coherence under additional constrains such as energy preservation and all genuinely incoherent operations are incoherent regardless of their particular experimental realization. We also introduce the full class of…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
