(in Polish) Quantum Measurement and Estimation Theory

General data

Course ID:	1100-QMET
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	(unknown)
Name in Polish:	Quantum Measurement and Estimation Theory
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle Physics (2nd cycle); courses from list "Selected Problems of Modern Physics"
ECTS credit allocation (and other scores):	(not available) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
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
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

This course is not currently offered.

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