Resource Destroying Maps
Name
PhysRevLett.118.060502.pdf
Size
195.94 KB
Format
Adobe PDF
Checksum (MD5)
e641c87299d540980a103f03f63f3608
Author(s)
Liu, Zi-Wen
Hu, Xueyuan
Lloyd, Seth
Date Issued
February 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Liu, Zi-Wen, Xueyuan Hu, and Seth Lloyd. “Resource Destroying Maps.” Physical Review Letters 118.6 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
Resource theory is a widely applicable framework for analyzing the physical resources required for given tasks, such as computation, communication, and energy extraction. In this Letter, we propose a general scheme for analyzing resource theories based on resource destroying maps, which leave resource-free states unchanged but erase the resource stored in all other states. We introduce a group of general conditions that determine whether a quantum operation exhibits typical resource-free properties in relation to a given resource destroying map. Our theory reveals fundamental connections among basic elements of resource theories, in particular, free states, free operations, and resource measures. In particular, we define a class of simple resource measures that can be calculated without optimization, and that are monotone nonincreasing under operations that commute with the resource destroying map. We apply our theory to the resources of coherence and quantum correlations (e.g., discord), two prominent features of nonclassicality.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.118.060502
