Wednesday, February 6, 2013

1302.1115 (S. Alipour et al.)

Quantum Estimation in Open Systems: Dissipative Quantum Cramér-Rao
Bound
   [PDF]

S. Alipour, A. T. Rezakhani
Estimation of parameters is a pivotal task throughout science and technology. In quantum mechanics, quantum Cram\'er-Rao bound provides a fundamental limit of precision allowed to achieve under quantum theory. For closed quantum systems, it has been shown how the estimation precision depends on the underlying dynamics. Here, we propose a general, alternative formulation for an estimation scenario in open quantum systems, aiming to relate the precision more directly to properties of the underlying dynamics. Specifically, we derive a Cram\'er-Rao bound for a fairly large class of open system dynamics, which is governed by a Lindbladian master equation. We illustrate the utility of this scenario through an example.
View original: http://arxiv.org/abs/1302.1115

No comments:

Post a Comment