Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations
Quantum Physics
2024-06-19 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
It is proved that the energy-constrained Bures distance between arbitrary infinite-dimensional quantum channels is equal to the operator E-norm distance from any given Stinespring isometry of one channel to the set of all Stinespring isometries of another channel with the same environment. The same result is shown to be valid for arbitrary quantum operations.
Keywords
Cite
@article{arxiv.1912.01678,
title = {Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:1912.01678},
year = {2024}
}
Comments
17 pages, the case of finite-dimensional environment is added, any comments are welcome