Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations
arXiv:1912.01678 · doi:10.1063/5.0102141
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.
arXiv comment17 pages, the case of finite-dimensional environment is added, any comments are welcome
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