Canonical Structure of A and B Maps.

Autor: Sudha, Karthik, B. N., Devi, A. R. Usha, Rajagopal, A. K.
Předmět:
Zdroj: Quanta; 2021, Vol. 10 Issue 1, p34-41, 8p
Abstrakt: In their seminal 1961 paper, Sudarshan, Mathews and Rau investigated properties of the dynamical A and B maps acting on n dimensional quantum systems. The nature of 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index