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Mathematical foundations of quantum information science, September 27, 2023–May 8, 2024
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Lecture 1. Probability operator-valyed measures.
А. С. Холево
February 7, 2024 10:00
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Lecture 2. Overcomplete systems of vectors in Hilbert space.
А. С. Холево
February 14, 2024 10:00
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Lecture 3. Naimark's theorem. Quantum randomisation.
А. С. Холево
February 21, 2024 10:00
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Lecture 4. Optimal discrimination of quantum states.
А. С. Холево
February 28, 2024 10:00
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Lecture 5. Measures of closeness of quantum states.
А. С. Холево
March 6, 2024 10:00
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Lecture 6. Entropic characteristics of classical communication channels.
А. С. Холево
March 13, 2024 10:00
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Lecture 7. Coding theorem for a classical noisy channel.
А. С. Холево
March 20, 2024 10:00
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Lecture 8. Quantum data compression
А. С. Холево
March 27, 2024 10:00
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Lecture 9. Quantum information bound. Coding theorem for classical-quantum channel.
А. С. Холево
April 3, 2024 10:00
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Lecture 10. Complete positivity. Definition of quantum channel.
А. С. Холево
April 10, 2024 10:00
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Lecture 11. The Kraus representation. Channels and open systems.
А. С. Холево
April 17, 2024 10:00
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Lecture 12. Monotonicity of the relative entropy and generalized H-theorem.
А. С. Холево
April 24, 2024 10:00
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Lecture 13. Information capacities of quantum channels.
А. С. Холево
May 8, 2024 10:00
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