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Quantum metrology in open systems: dissipative Cramér-Rao bound
S Alipour1, M Mehboudi1, A T Rezakhani1
1Department of Physics, Sharif University of Technology, Tehran 14588, Iran.
This study introduces a new quantum Cramér-Rao bound for open quantum systems, linking estimation precision to system dynamics. This framework can enhance measurement precision using quantum control methods.
Area of Science:
- Quantum physics
- Metrology
- Information theory
Background:
- Parameter estimation is crucial across scientific disciplines.
- The quantum Cramér-Rao bound sets fundamental precision limits in quantum theory.
- Previous work focused on closed quantum systems, linking precision to dynamics.
Purpose of the Study:
- To develop a general formulation for metrology in open quantum systems.
- To establish a direct relationship between estimation precision and system dynamics.
- To enable precision enhancement through quantum control.
Main Methods:
- Derivation of a generalized Cramér-Rao bound for open quantum systems.
- Analysis of dynamics governed by time-dependent dynamical semigroup maps.
- Application to specific metrology scenarios.
Main Results:
- A novel quantum Cramér-Rao bound applicable to a broad class of open quantum system dynamics.
- Demonstration of how system dynamics directly influence estimation precision.
- Identification of potential for precision enhancement via quantum control.
Conclusions:
- The proposed formulation provides a powerful tool for understanding and optimizing quantum metrology in open systems.
- The direct link between dynamics and precision opens avenues for advanced quantum sensing and control.
- The framework is illustrated with practical examples, showcasing its utility.
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