Davalos, David and Moreno, Camilo and Urbina, Juan-Diego and Pineda, Carlos (2020) Position representation of single-mode Gaussian channels beyond the Gaussian functional form. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 53 (42): 425304. ISSN 1751-8113, 1751-8121
Full text not available from this repository. (Request a copy)Abstract
We study one-mode Gaussian quantum channels in continuous-variable systems by performing ablack-boxcharacterization using complete positivity and trace preserving conditions, and report the existence of two subsets that do not have a functional Gaussian form. Our study covers as a particular limit the case of singular channels, thus connecting our results with their known classification scheme based on canonical forms. Our full characterization of Gaussian channels without Gaussian functional form is completed by showing how Gaussian states are transformed under these operations, and by deriving the conditions for the existence of master equations for the non-singular cases. We show that although every functional form can be found in the vicinity of the identity, one of them does not parametrize unitary channels.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Gaussian quantum information; quantum information; continuous variable quantum information; singular Gaussian channels; quantum channels; Gaussian quantum channels |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Mar 2021 11:46 |
| Last Modified: | 08 Mar 2021 11:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/43523 |
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