Search for tag: "quantum information"

MATH 595 Quantum channels II: Monday, May 10 - Part 2

Contents: Robustness of Markov chains, approximate recovery

From  Felix Leditzky 9 plays 0  

MATH 595 Quantum channels II: Monday, May 10 - Part 1

Contents: Structure of quantum Markov chains

From  Felix Leditzky 7 plays 0  

MATH 595 Quantum channels II: Tuesday, May 4

Contents: Equality in the Holevo bound

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MATH 595 Quantum channels II: Thursday, April 29

Contents: Quantum Markov chains, Petz recovery channel, equality in data-processing

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MATH 595 Quantum channels II: Tuesday, April 27

Contents: Quantum Markov chains, Petz recovery channel, equality in data-processing

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MATH 595 Quantum channels II: Thursday, April 22

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…

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MATH 595 Quantum channels II: Tuesday, April 20

Contents: Holevo bound, conditional mutual information, classical and quantum Markov chains

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MATH 595 Quantum channels II: Thursday, April 15

Contents: Conditional entropy, coherent information, mutual information

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MATH 595 Quantum channels II: Thursday, April 8

Contents: Properties of von Neumann entropy and conditional entropy

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MATH 595 Quantum channels II: Tuesday, April 6

Contents: Relative modular operator, proof of data-processing inequality

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MATH 595 Quantum channels II: Thursday, April 1

Contents: Relative entropy and joint convexity, functions on operators, relative modular operator

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MATH 595 Quantum channels II: Tuesday, March 30

Contents: Properties of relative entropy, functions on operators

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MATH 595 Quantum channels II: Thursday, March 25

Contents: Quantum state discrimination, asymmetric hypothesis testing, Quantum Stein's Lemma, relative entropy

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MATH 595 Quantum channels II: Tuesday, March 23

Contents: Recap (quantum states, quantum channels), quantum state discrimination, trace distance

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MATH 595 Quantum channels I: Thursday, Mar 18

Contents: Minimum output entropy and classical capacity of quantum channels, additivity conjecture

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MATH 595 Quantum channels I: Tuesday, Mar 16

Contents: Irreducibly covariant channels, Holevo information, minimum output entropy

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MATH 595 Quantum channels I: Thursday, Mar 11

Contents: Covariant quantum channels, channel twirling, Haar measure, irreducibly covariant channels

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MATH 595 Quantum channels I: Tuesday, Mar 9

Contents: Covariant quantum channels, depolarizing channels

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MATH 595 Quantum channels I: Thursday, Mar 4

Covariant channels: examples, characterization in terms of Choi operator

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MATH 595 Quantum channels I: Tuesday, Mar 2

Contents: Degradable channels, covariant channels, basics of representation theory

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MATH 595 Quantum channels I: Thursday, Feb 25

Contents: Antidegradable channels

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MATH 595 Quantum channels I: Tuesday, Feb 23

Contents: PPT-channels, antidegradable channels

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MATH 595 Quantum channels I: Thursday, Feb 18

Contents: Entanglement-breaking channels, PPT channels

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MATH 595 Quantum channels I: Tuesday, Feb 16

Contents: Generalized dephasing channels, Holevo information, unital qubit channels, entanglement-breaking channels

From  Felix Leditzky 32 plays 0