Quantum Measurement and Estimation Theory
Informacje ogólne
Kod przedmiotu: | 1100-QMET |
Kod Erasmus / ISCED: | (brak danych) / (brak danych) |
Nazwa przedmiotu: | Quantum Measurement and Estimation Theory |
Jednostka: | Wydział Fizyki |
Grupy: |
Fizyka, II stopień; przedmioty z listy "Wybrane zagadnienia fizyki współczesnej" Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" Physics (Studies in English); 2nd cycle |
Punkty ECTS i inne: |
(brak)
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Język prowadzenia: | angielski |
Kierunek podstawowy MISMaP: | fizyka |
Założenia (opisowo): | Familiarity with quantum mechanics and linear algebra. Previous contact with quantum information and quantum optics is welcomed, though not indispensable. |
Tryb prowadzenia: | w sali |
Pełny opis: |
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 |
Literatura: |
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" |
Efekty uczenia się: |
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). |
Metody i kryteria oceniania: |
Homework problems, Exam |
Właścicielem praw autorskich jest Uniwersytet Warszawski, Wydział Fizyki.