Quantum metrology in open systems: Dissipative cramér-rao bound

S. Alipour*, M. Mehboudi, A. T. Rezakhani

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

99 Citations (Scopus)


Estimation of parameters is a pivotal task throughout science and technology. The quantum Cramér-Rao bound provides a fundamental limit of precision allowed to be achieved 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 Cramér-Rao bound for a fairly large class of open system dynamics, which is governed by a (time-dependent) dynamical semigroup map. We illustrate the utility of this scenario through three examples.

Original languageEnglish
Article number120405
JournalPhysical Review Letters
Issue number12
Publication statusPublished - 1 Dec 2013
MoE publication typeA1 Journal article-refereed

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