(in Polish) Advanced Graduate Quantum Measurement and Estimation Theory
General data
Course ID: | 1100-SZD-QMET |
Erasmus code / ISCED: | (unknown) / (unknown) |
Course title: | (unknown) |
Name in Polish: | Advanced Graduate Quantum Measurement and Estimation Theory |
Organizational unit: | Faculty of Physics |
Course groups: |
(in Polish) Przedmioty do wyboru dla doktorantów; |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | English |
Main fields of studies for MISMaP: | physics |
Prerequisites (description): | Familiarity with quantum mechanics and linear algebra. Previous contact with quantum information and quantum optics is welcomed, though not indispensable. |
Mode: | Classroom |
Short description: |
Introduction to quantum measurement and estimation theory as well modern developments in the field of quantum metrology. |
Full description: |
1. Quantum measurements - quantum measurement mathematical formalism - decoherence mechanisms - weak and strong measurements - joint measurements of non-commuting observables 2. Classical estimation theory - Fisher information, Cramer-Rao bound - Maximum likelihood estimation - Bayesian estimation 3. Quantum estimation theory - discrimination of quantum states - quantum Fisher information - optimal Bayesian quantum estimation - covariant measurements 4. Quantum metrology - Quantum channel estimation - Optimal phase estimation - Practical quantum enhanced metrological schemes (squeezed states of light, spin-squeezed states) - Impact of decoherence on quantum enhanced protocols - Fundamental bounds in quantum metrology - Practical applications: gravitational wave detectors, atomic clocks |
Bibliography: |
S. M. Kay "Fundamentals of statistical signal processing: estimation theory" C. W. Helstrom "Quantum detection and estimation theory", A. S. Holevo "Probabilistic and Statistical Aspects of Quantum Theory" |
Learning outcomes: |
Understanding of limitations imposed by quantum mechanics on measurement precision. Ability to formulate optimization problems to find optimal measurement strategies. Applications of the knowledge of non-classical states of light and atoms in proposing interferometric schemes with quantum enhanced precision (with potential use in devices such as gravitational wave detectors or atomic clocks). |
Assessment methods and assessment criteria: |
Homework problems, Exam |
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