General quantum-classical dynamics as measurement based feedback
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913504178470912 |
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| author | Tilloy, Antoine |
| author_facet | Tilloy, Antoine |
| contents | This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback. The advantage of this approach is an explicit parameterization, without additional positivity constraints. The construction also neatly separates the different effects: how the quantum influences the classical and how the classical influences the quantum. This modular presentation gives a better intuition of what to expect from hybrid dynamics, especially when used to construct possibly fundamental theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General quantum-classical dynamics as measurement based feedback Tilloy, Antoine Quantum Physics This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback. The advantage of this approach is an explicit parameterization, without additional positivity constraints. The construction also neatly separates the different effects: how the quantum influences the classical and how the classical influences the quantum. This modular presentation gives a better intuition of what to expect from hybrid dynamics, especially when used to construct possibly fundamental theories. |
| title | General quantum-classical dynamics as measurement based feedback |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.19748 |