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Mathematical foundations of quantum information science
(September 10, 2024–May 6, 2025, online)
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| Mathematical foundations of quantum information science, September 10, 2024–May 6, 2025 |
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May 6, 2025 (Tue) |
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| 1. |
Lecture 26. Information capacities of quantum channels. Further directions
A. S. Holevo
May 6, 2025 10:00, online
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April 29, 2025 (Tue) |
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| 2. |
Lecture 25. Qubit channels. Quantum measurements
A. S. Holevo
April 29, 2025 10:00, online
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April 22, 2025 (Tue) |
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| 3. |
Lecture 24. Quantum relative entropy. Monotonicity property and H-theorem
A. S. Holevo
April 22, 2025 10:00, online
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April 15, 2025 (Tue) |
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| 4. |
Lecture 23. Completely positive maps and quantum channels
A. S. Holevo
April 15, 2025 10:00, online
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April 8, 2025 (Tue) |
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| 5. |
Lecture 22. Proof of the direct coding theorem for c-q channel
A. S. Holevo
April 8, 2025 10:00, online
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April 1, 2025 (Tue) |
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| 6. |
Lecture 21. Coding theorem for c-q channel. Weak converse.
A. S. Holevo
April 1, 2025 10:00, online
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March 25, 2025 (Tue) |
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| 7. |
Lecture 20. Quantum data compression
A. S. Holevo
March 25, 2025 10:00, online
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March 18, 2025 (Tue) |
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| 8. |
Lecture 19. Coding theorem for noisy classical channel
A. S. Holevo
March 18, 2025 10:00, online
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March 11, 2025 (Tue) |
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| 9. |
Lecture 18. Asymptotic equidistribution in classical information theory
A. S. Holevo
March 11, 2025 10:00, online
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March 4, 2025 (Tue) |
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| 10. |
Lecture 17. Optimal quantum state discrimination
A. S. Holevo
March 4, 2025 10:00, online
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February 25, 2025 (Tue) |
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| 11. |
Lecture 16. Naimark's dilation theorem
A. S. Holevo
February 25, 2025 10:00, online
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February 18, 2025 (Tue) |
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| 12. |
Lecture 15. Overcomplete vector systems. Condition for extremslity
A. S. Holevo
February 18, 2025 10:00, online
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February 11, 2025 (Tue) |
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| 13. |
Lecture 14. Quantum observables and resolutions of the identity in a Hilbert space
A. S. Holevo
February 11, 2025 10:00, online
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December 3, 2024 (Tue) |
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| 14. |
Lecture 13. Symplectic codes.
A. S. Holevo
December 3, 2024 10:00, online
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November 26, 2024 (Tue) |
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| 15. |
Lecture 12. Quantum error-correcting codes.
A. S. Holevo
November 26, 2024 10:00, online
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November 19, 2024 (Tue) |
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| 16. |
Lecture 11. Grover's search algorithm.
A. S. Holevo
November 19, 2024 10:00, online
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November 12, 2024 (Tue) |
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| 17. |
Lecture 10. Deutsch's algorithm. Simon's algorithm.
A. S. Holevo
November 12, 2024 10:00, online
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November 5, 2024 (Tue) |
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| 18. |
Lecture 9. Quantum communication protocols.
A. S. Holevo
November 5, 2024 10:00, online
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October 29, 2024 (Tue) |
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| 19. |
Lecture 8. The Bell inequaliy. Quantum nonlocal game.
A. S. Holevo
October 29, 2024 10:00, online
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October 22, 2024 (Tue) |
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| 20. |
Lecture 7. Composite systems. Tensor products.
A. S. Holevo
October 22, 2024 10:00, online
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October 15, 2024 (Tue) |
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| 21. |
Lecture 6. Dynamics of isolated quantum system. Quantum Zeno paradox.
A. S. Holevo
October 15, 2024 10:00, online
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October 8, 2024 (Tue) |
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| 22. |
Lecture 5. Posterior state. Repeated measurements.
A. S. Holevo
October 8, 2024 10:00, online
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October 1, 2024 (Tue) |
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| 23. |
Lecture 4. Compatibility of quantum observables. Uncertainty relation
A. S. Holevo
October 1, 2024 10:00, online
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September 24, 2024 (Tue) |
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| 24. |
Lecture 3. Statistics and geometry of qubit
A. S. Holevo
September 24, 2024 10:00, online
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September 17, 2024 (Tue) |
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| 25. |
Lecture 2. States and observables. Statistical postulate.
A. S. Holevo
September 17, 2024 10:00, online
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September 10, 2024 (Tue) |
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| 26. |
Lecture 1. Quantum and classical systems.
A. S. Holevo
September 10, 2024 10:00, online
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Lecturer
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