Drukuj sylabusAdvanced Graduate Quantum Measurement and Estimation Theory
Informacje ogólne
| Kod przedmiotu: | 1100-SZD-QMET |
| Kod Erasmus / ISCED: | (brak danych) / (brak danych) |
| Nazwa przedmiotu: | Advanced Graduate Quantum Measurement and Estimation Theory |
| Jednostka: | Wydział Fizyki |
| Grupy: |
Przedmioty do wyboru dla doktorantów; |
| Punkty ECTS i inne: |
6.00
|
| 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 |
| Skrócony opis: |
Introduction to quantum measurement and estimation theory as well modern developments in the field of quantum metrology. |
| 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 |
Zajęcia w cyklu "Semestr letni 2022/23" (w trakcie)
| Okres: | 2023-02-20 - 2023-06-18 |
 
 zobacz plan zajęć |
| Typ zajęć: |
Ćwiczenia, 30 godzin
Wykład, 30 godzin
|
|
| Koordynatorzy: | Rafał Demkowicz-Dobrzański | |
| Prowadzący grup: | Rafał Demkowicz-Dobrzański | |
| Lista studentów: | (nie masz dostępu) | |
| Zaliczenie: | Zaliczenie |
Właścicielem praw autorskich jest Uniwersytet Warszawski.
