Stochastic limits of Quantum repeated measurements
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911315781484544 |
|---|---|
| author | Jacquier, Antoine Kardaras, Kostas Viot, Adeline |
| author_facet | Jacquier, Antoine Kardaras, Kostas Viot, Adeline |
| contents | We investigate quantum systems perturbed by noise in the form of repeated interactions between the system and the environment. As the number of interactions (aka time steps) tends to infinity, we show, following the works by Pellegrini, that this system converges to the solution of a Volterra stochastic differential equation. This development sets interesting future research paths at the intersection of quantum algorithms, stochastic differential equations, weak convergence and large deviations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11462 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic limits of Quantum repeated measurements Jacquier, Antoine Kardaras, Kostas Viot, Adeline Probability Quantum Physics 45D05, 60F05, 60F17, 60H10, 81P68 We investigate quantum systems perturbed by noise in the form of repeated interactions between the system and the environment. As the number of interactions (aka time steps) tends to infinity, we show, following the works by Pellegrini, that this system converges to the solution of a Volterra stochastic differential equation. This development sets interesting future research paths at the intersection of quantum algorithms, stochastic differential equations, weak convergence and large deviations. |
| title | Stochastic limits of Quantum repeated measurements |
| topic | Probability Quantum Physics 45D05, 60F05, 60F17, 60H10, 81P68 |
| url | https://arxiv.org/abs/2512.11462 |