Banach and counting measures, and dynamics of singular quantum states generated by averaging of operator random walks
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910075194441728 |
|---|---|
| author | Dzhenzher, E. A. Dzhenzher, S. V. Sakbaev, V. Zh. |
| author_facet | Dzhenzher, E. A. Dzhenzher, S. V. Sakbaev, V. Zh. |
| contents | In this paper the random channels and their compositions in the space of quantum states are studied.
For compositions of i.i.d. random unitary channels, the limit behaviour of probability distributions is described.
The sufficient condition for convergence in probability is obtained.
The generalized convergence in distribution w.r.t. weak operator topology is obtained.
The analysis of transmission of pure and normal states to the set of singular states is done. The dynamics of quantum states is described in terms of the evolution of the values of quadratic forms of operators from the algebra that implements the representation of canonical commutation relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25151 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Banach and counting measures, and dynamics of singular quantum states generated by averaging of operator random walks Dzhenzher, E. A. Dzhenzher, S. V. Sakbaev, V. Zh. Quantum Physics Functional Analysis In this paper the random channels and their compositions in the space of quantum states are studied. For compositions of i.i.d. random unitary channels, the limit behaviour of probability distributions is described. The sufficient condition for convergence in probability is obtained. The generalized convergence in distribution w.r.t. weak operator topology is obtained. The analysis of transmission of pure and normal states to the set of singular states is done. The dynamics of quantum states is described in terms of the evolution of the values of quadratic forms of operators from the algebra that implements the representation of canonical commutation relations. |
| title | Banach and counting measures, and dynamics of singular quantum states generated by averaging of operator random walks |
| topic | Quantum Physics Functional Analysis |
| url | https://arxiv.org/abs/2603.25151 |