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Quantum metrology in open systems: Dissipative cramer-rao bound

Alipour, S ; Sharif University of Technology | 2014

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevLett.112.120405
  3. Publisher: American Physical Society , 2014
  4. Abstract:
  5. 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
  6. Keywords:
  7. Estimation ; Open systems ; Quantum electronics ; Quantum optics ; Closed quantum system ; Estimation of parameters ; Estimation precision ; Open quantum systems ; Quantum control technique ; Quantum metrology ; Science and Technology ; Underlying dynamics ; Units of measurement
  8. Source: Physical Review Letters ; Volume 112, Issue 12 , 2014 ; 00319007 (ISSN)
  9. URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.120405