Universal limitations on implementing resourceful unitary evolutions
Name
PhysRevA.101.022315.pdf
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366.7 KB
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Adobe PDF
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Author(s)
Takagi, Ryuji
Tajima, Hiroyasu
Date Issued
February 2020
Journal
Physical Review A
Publisher
American Physical Society (APS)
Citation
Takagi, Ruiji, and Hiroyasu Tajima. "Universal limitations on implementing resourceful unitary evolutions." Physical Review A, 101, 2 (February 2020): 022315. © 2020 American Physical Society
Version
Final published version
Abstract
We derive a trade-off relation between accuracy of implementing a desired unitary evolution using a restricted set of free unitaries and the size of the assisting system, in terms of the resource generating and losing capacity of the target unitary. In particular, this relation implies that, for any theory equipped with a resource measure satisfying lenient conditions, any resource changing unitary cannot be perfectly implemented by a free unitary applied to a system and an environment if the environment has finite dimensions. Our results are applicable to a wide class of resources including energy, asymmetry, coherence, entanglement, and magic, imposing ultimate limitations inherent in such important physical settings, as well as providing insights into operational restrictions in general resource theories.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.101.022315
