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- Type of Document: Ph.D. Dissertation
- Language: Farsi
- Document No: 44456 (04)
- University: Sharif University of Technology
- Department: Physics
- Advisor(s): Karimipour, Vahid
- Abstract:
- In this thesis, we investigate the problem of quantum estimation in open quantum sys- tems. To this end, after a review of classical and quantum estimation theory, and the role of different properties of the quantum systems in enhancing estimation of the closed systems, we will study different characteristics of the open systems. Non-Markovianity of a dynamics is a quantum property which is a special feature of open systems dynamics. It is expected that this property plays a role in the precession of the estimation. Since there is no universal measure for distinguishing Markovian and non-Markovian dynamics, we first use quantum discord between the system and the environment as a measure for non-Markovianity of the evolution. Next, we show that this measure is more delicate than the other introduced measures in some cases. After that, we show that how one can develop a Cramer-Rao in- equality to relate the error in the open system to the uncertainty of the generator of the evolution. As an important application, we show that non-Markovianity can be used to en- hance quantum estimation in a way that by increasing the number of the measurements, error will decrease with a rate faster than that for closed systems. Such study can be useful in identification and control of quantum systems
- Keywords:
- Quantum Estimation ; Open Quantum System ; Quantum Discord ; Markovian Quantum Process ; Nonmarkovian Quantum Process
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