State Space Decomposition of Quantum Dynamical Semigroups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917123159228416 |
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| author | Mousset, Nicolas Amini, Nina H. |
| author_facet | Mousset, Nicolas Amini, Nina H. |
| contents | The mean evolution of an open quantum system in continuous time is described by a time continuous semigroup of quantum channels (completely positive and trace-preserving linear maps). Baumgartner and Narnhofer presented a general decomposition of the underlying Hilbert space into a sum of invariant subspaces, also called enclosures. We propose a new reading of this result, inspired by the work of Carbone and Pautrat. In addition, we apply this decomposition to a class of open quantum random walks and to quantum trajectories, where we study its uniqueness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | State Space Decomposition of Quantum Dynamical Semigroups Mousset, Nicolas Amini, Nina H. Quantum Physics Mathematical Physics Optimization and Control Probability The mean evolution of an open quantum system in continuous time is described by a time continuous semigroup of quantum channels (completely positive and trace-preserving linear maps). Baumgartner and Narnhofer presented a general decomposition of the underlying Hilbert space into a sum of invariant subspaces, also called enclosures. We propose a new reading of this result, inspired by the work of Carbone and Pautrat. In addition, we apply this decomposition to a class of open quantum random walks and to quantum trajectories, where we study its uniqueness. |
| title | State Space Decomposition of Quantum Dynamical Semigroups |
| topic | Quantum Physics Mathematical Physics Optimization and Control Probability |
| url | https://arxiv.org/abs/2506.05269 |