Quantum Metrology in Open Systems: A Dissipative Cramer-Rao Bound

Quantum Metrology in Open Systems: A Dissipative Cramer-Rao Bound

Seminar author:Mohammad Mehboudi

Event date and time:10/07/2014 03:00:pm

Event location:IFAE seminar room

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Estimation of parameters is a pivotal task throughout science and technology. Quantum Cramer-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 formulation for metrology scenarios in open quantum systems, aiming to relate the precision more directly to properties of the underlying dynamics. This feature may be employed to enhance an estimation precision, e.g., by quantum control techniques. Specifically, we derive a Cramer-Rao bound for a fairly large class of open system dynamics, which is governed by a (time-dependent) dynamical semi-group map. We illustrate the utility of this scenario through three examples.