Canonical structures of $A$ and $B$ forms
| Autor: | Sudha, Karthik, B. N., Devi, A. R. Usha, Rajagopal, A. K. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Quanta 2021; 10: 34-41 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.12743/quanta.v10i1.165 |
| Popis: | In their seminal paper (Phys. Rev.121, 920 (1961)) Sudarshan, Mathews and Rau investigated properties of the dynamical $A$ and $B$ maps acting on $n$ dimensional quantum systems. Nature of the dynamical maps in open quantum system evolutions has attracted great deal of attention in the later years. However, the novel paper on the $A$ and $B$ dynamical maps has not received its due attention. In this tutorial article we review the properties of $A$ and $B$ forms associated with the dynamics of finite dimensional quantum systems. In particular we investigate a canonical structure associated with the $A$ form and establish its equivalence with the associated $B$ form. We show that the canonical structure of the $A$ form captures the completely positive (not completely positive) nature of the dynamics in a succinct manner. This feature is illustrated through physical examples of qubit channels. Comment: 16 pages, No figures |
| Databáze: | arXiv |
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