Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866911922305105920 |
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| author | Shirokov, M. E. |
| author_facet | Shirokov, M. E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_01678 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations Shirokov, M. E. Quantum Physics Mathematical Physics Functional Analysis 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. |
| title | Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations |
| topic | Quantum Physics Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/1912.01678 |