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Contents: Robustness of Markov chains, approximate recovery
Date of creation
5/10/2021 12:00 AM
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Contents: Structure of quantum Markov chains
Date of creation
5/10/2021 12:00 AM
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Contents: Equality in the Holevo bound
Date of creation
5/4/2021 12:00 AM
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Contents: Quantum Markov chains, Petz recovery channel, equality in data-processing
Date of creation
4/29/2021 12:00 AM
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Contents: Quantum Markov chains, Petz recovery channel, equality in data-processing
Date of creation
4/27/2021 12:00 AM
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Contents: quantum Markov chains, Petz recovery channel, equality in data-processing Note: There was an issue in the proof I discussed in the second half of the lecture. The corrected proof will be…
Date of creation
4/22/2021 12:00 AM
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Contents: Holevo bound, conditional mutual information, classical and quantum Markov chains
Date of creation
4/20/2021 12:00 AM
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Contents: Conditional entropy, coherent information, mutual information
Date of creation
4/15/2021 12:00 AM
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Contents: Properties of von Neumann entropy and conditional entropy
Date of creation
4/8/2021 12:00 AM
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Contents: Relative modular operator, proof of data-processing inequality
Date of creation
4/6/2021 12:00 AM
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Contents: Relative entropy and joint convexity, functions on operators, relative modular operator
Date of creation
4/1/2021 12:00 AM
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Contents: Properties of relative entropy, functions on operators
Date of creation
3/30/2021 12:00 AM
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Contents: Quantum state discrimination, asymmetric hypothesis testing, Quantum Stein's Lemma, relative entropy
Date of creation
3/25/2021 12:00 AM
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Contents: Recap (quantum states, quantum channels), quantum state discrimination, trace distance
Date of creation
3/23/2021 12:00 AM
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Contents: Minimum output entropy and classical capacity of quantum channels, additivity conjecture
Date of creation
3/18/2021 12:00 AM
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Contents: Irreducibly covariant channels, Holevo information, minimum output entropy
Date of creation
3/16/2021 12:00 AM
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Contents: Covariant quantum channels, channel twirling, Haar measure, irreducibly covariant channels
Date of creation
3/11/2021 12:00 AM
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Contents: Covariant quantum channels, depolarizing channels
Date of creation
3/9/2021 12:00 AM
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Covariant channels: examples, characterization in terms of Choi operator
Date of creation
3/4/2021 12:00 AM
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Contents: Degradable channels, covariant channels, basics of representation theory
Date of creation
3/2/2021 12:00 AM
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Contents: Antidegradable channels
Date of creation
2/25/2021 12:00 AM
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Contents: PPT-channels, antidegradable channels
Date of creation
2/23/2021 12:00 AM
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Contents: Entanglement-breaking channels, PPT channels
Date of creation
2/18/2021 12:00 AM
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Contents: Generalized dephasing channels, Holevo information, unital qubit channels, entanglement-breaking channels
Date of creation
2/16/2021 12:00 AM
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