Advanced quantum information: entanglement and nonlocality
Informacje ogólne
Kod przedmiotu: | 1100-4AQI |
Kod Erasmus / ISCED: |
13.2
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Nazwa przedmiotu: | Advanced quantum information: entanglement and nonlocality |
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 Przedmioty do wyboru dla doktorantów; |
Punkty ECTS i inne: |
(brak)
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Język prowadzenia: | angielski |
Kierunek podstawowy MISMaP: | fizyka |
Rodzaj przedmiotu: | monograficzne |
Założenia (opisowo): | (tylko po angielsku) Basics of linear algebra and quantum mechanics. |
Skrócony opis: |
(tylko po angielsku) *** In the academic year 2021/22 this class will be taught in a fully remote mode. *** For more information and updates see: http://qot.cent.uw.edu.pl/teaching/ Resource theory of quantum entanglement: axiomatic formulation, entanglement detection, entanglement distillation and dilution, entanglement quantification, applications of entanglement. Bell nonlocality and applications: the concept of local realism and its incompatibility with quantum mechanics, methods of approximating the quantum set, usefulness of nonlocal correlations for cryptographic purposes. |
Pełny opis: |
(tylko po angielsku) I. Resource theory of quantum entanglement: 1. Short review of quantum theory 2. Theory of quantum entanglement 3. Entanglement detection 4. Entanglement and quantum teleportation 5. Entanglement distillation and dilution 6. Quantification of entanglement 7. Monogamy of entanglement 8. Applications of entanglement II. Bell nonlocality 1. Classical, quantum and no-signalling sets of correlations. 2. Geometry of the correlation sets. Bell inequalities and extremal no- signalling boxes. 3. The quantum set in the simplest non-trivial Bell scenario. 4. Describing the quantum set through a hierarchy of optimisation problems. 5. Self-testing of quantum systems and device-independent cryptography. |
Literatura: |
(tylko po angielsku) 1. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000) 2. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009) 3. V. Scarani, Bell nonlocality (Oxford University Press, 2019) 4. N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner, Bell nonlocality, Rev. Mod. Phys. 86, 419 (2014) |
Efekty uczenia się: |
(tylko po angielsku) Knowledge: - familiarity with quantum resource theories, with focus on entanglement: LOCC operations, criteria for entanglement detection in pure and mixed states, entanglement distillation and dilution - familiarity with basic phenomena in quantum information theory: bound entanglement, monogamy of entanglement - familiarity with the three sets of correlations and the physical motivations behind them - understanding the relation between nonlocality and entanglement - understanding the relation between nonlocal correlations and secrecy Skills: - ability to characterize entangled state transformations with Nielsen's theorem and the theorem of typical sequences - ability to detect and estimate entanglement of pure and noisy quantum states with entanglement witnesses and PPT criterion - ability to use Jordan's lemma to investigate the quantum set in the CHSH scenario - familiarity with the standard methods for analysing a generic Bell functional |
Metody i kryteria oceniania: |
(tylko po angielsku) - homework problems - oral exam |
Właścicielem praw autorskich jest Uniwersytet Warszawski.