2024-03-29T00:16:34Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00023833
2023-01-16T04:13:48Z
312:313:314
Quantum relative Lorenz curves
Buscemi, Francesco
Gour, Gilad
open access
© 2017 American Physical Society
The theory of majorization and its variants, including thermomajorization, have been found to play a central role in the formulation of many physical resource theories, ranging from entanglement theory to quantum thermodynamics. Here we formulate the framework of quantum relative Lorenz curves, and show how it is able to unify majorization, thermomajorization, and their noncommutative analogs. In doing so, we define the family of Hilbert α divergences and show how it relates with other divergences used in quantum information theory. We then apply these tools to the problem of deciding the existence of a suitable transformation from an initial pair of quantum states to a final one, focusing in particular on applications to the resource theory of athermality, a precursor of quantum thermodynamics.
American Physical Society
2017-01-09
eng
journal article
VoR
http://hdl.handle.net/2237/25995
https://nagoya.repo.nii.ac.jp/records/23833
https://doi.org/10.1103/PhysRevA.95.012110
2469-9926
Physical Review A
95
012110
012110
https://nagoya.repo.nii.ac.jp/record/23833/files/PhysRevA_95_012110.pdf
application/pdf
753.3 kB
2018-02-22