General state transitions with exact resource morphisms: a unified resource-theoretic approach

Add to your list(s) Download to your calendar using vCal

• Zhou Wenbin, Nagoya University
• Friday 06 November 2020, 11:00-12:00
• Virtually, at Zoom.

If you have a question about this talk, please contact .

Given a non-empty closed convex subset F of density matrices, we formulate conditions that guarantee the existence of an F-morphism (namely, a completely positive trace-preserving linear map that maps F into itself) between two arbitrarily chosen density matrices. While we allow errors in the transition, the corresponding map is required to be an exact F-morphism. Our findings, though purely geometrical, are formulated in a resource-theoretic language and provide a common framework that comprises various resource theories, including the resource theories of bipartite and multipartite entanglement, coherence, athermality, and asymmetric distinguishability. We show how, when specialized to some situations of physical interest, our general results are able to unify and extend previous analyses. We also study conditions for the existence of maximally resourceful states, defined here as density matrices from which any other one can be obtained by means of a suitable F-morphism. Moreover, we quantitatively characterize the paradigmatic tasks of optimal resource dilution and distillation, as special transitions in which one of the two endpoints is maximally resourceful.

References

1) https://arxiv.org/abs/2005.09188

Zoom Link

Please click the link below to join the webinar: https://us02web.zoom.us/j/86846521451?pwd=M0VUSE5wTEJwSndCbEx0VUtqNHpuZz09 Passcode: 226745

This talk is part of the Cavendish Quantum Information Seminar Series series.

This talk is included in these lists:

• Virtually, at Zoom

Note that ex-directory lists are not shown.