Optimal Control of Bipartite Quantum Systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911894576562176 |
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| author | Malvetti, Emanuel Van Damme, Léo |
| author_facet | Malvetti, Emanuel Van Damme, Léo |
| contents | Closed bipartite quantum systems subject to fast local unitary control are studied using quantum optimal control theory and a method of reduced control systems based on the Schmidt decomposition. Particular focus is given to the time-optimal generation of maximally entangled states and product states, as well as to the problem of stabilizing quantum states with a certain amount of entanglement. Explicit analytical solutions are given for general systems consisting of two qubits (as well as for bosonic and fermionic analogues) and also for a class of systems consisting of two coupled qutrits which is studied using the Pontryagin Maximum Principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal Control of Bipartite Quantum Systems Malvetti, Emanuel Van Damme, Léo Quantum Physics Optimization and Control 81Q93 (Primary) 15A18, 81P42, 49J15, 49J24 (Secondary) Closed bipartite quantum systems subject to fast local unitary control are studied using quantum optimal control theory and a method of reduced control systems based on the Schmidt decomposition. Particular focus is given to the time-optimal generation of maximally entangled states and product states, as well as to the problem of stabilizing quantum states with a certain amount of entanglement. Explicit analytical solutions are given for general systems consisting of two qubits (as well as for bosonic and fermionic analogues) and also for a class of systems consisting of two coupled qutrits which is studied using the Pontryagin Maximum Principle. |
| title | Optimal Control of Bipartite Quantum Systems |
| topic | Quantum Physics Optimization and Control 81Q93 (Primary) 15A18, 81P42, 49J15, 49J24 (Secondary) |
| url | https://arxiv.org/abs/2405.20034 |