Search for tag: "channels"

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

Contents: Robustness of Markov chains, approximate recovery

From  Felix Leditzky on 05/10/2021 3 plays 0  

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

Contents: Structure of quantum Markov chains

From  Felix Leditzky on 05/10/2021 5 plays 0  

MATH 595 Quantum channels II: Tuesday, May 4

Contents: Equality in the Holevo bound

From  Felix Leditzky on 05/4/2021 6 plays 0  

MATH 595 Quantum channels II: Thursday, April 29

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

From  Felix Leditzky on 04/29/2021 5 plays 0  

MATH 595 Quantum channels II: Tuesday, April 27

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

From  Felix Leditzky on 04/27/2021 5 plays 0  

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…

From  Felix Leditzky on 04/23/2021 9 plays 0  

MATH 595 Quantum channels II: Tuesday, April 20

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

From  Felix Leditzky on 04/20/2021 14 plays 0  

MATH 595 Quantum channels II: Thursday, April 15

Contents: Conditional entropy, coherent information, mutual information

From  Felix Leditzky on 04/15/2021 19 plays 0  

MATH 595 Quantum channels II: Thursday, April 8

Contents: Properties of von Neumann entropy and conditional entropy

From  Felix Leditzky on 04/8/2021 12 plays 0  

MATH 595 Quantum channels II: Tuesday, April 6

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

From  Felix Leditzky on 04/6/2021 13 plays 0  

MATH 595 Quantum channels II: Thursday, April 1

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

From  Felix Leditzky on 04/1/2021 11 plays 0  

MATH 595 Quantum channels II: Tuesday, March 30

Contents: Properties of relative entropy, functions on operators

From  Felix Leditzky on 03/30/2021 10 plays 0  

MATH 595 Quantum channels II: Thursday, March 25

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

From  Felix Leditzky on 03/25/2021 13 plays 0  

MATH 595 Quantum channels II: Tuesday, March 23

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

From  Felix Leditzky on 03/23/2021 15 plays 0  

MATH 595 Quantum channels I: Thursday, Mar 18

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

From  Felix Leditzky on 03/18/2021 15 plays 0  

MATH 595 Quantum channels I: Tuesday, Mar 16

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

From  Felix Leditzky on 03/16/2021 10 plays 0  

MATH 595 Quantum channels I: Thursday, Mar 11

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

From  Felix Leditzky on 03/11/2021 19 plays 0  

MATH 595 Quantum channels I: Tuesday, Mar 9

Contents: Covariant quantum channels, depolarizing channels

From  Felix Leditzky on 03/9/2021 11 plays 0  

MATH 595 Quantum channels I: Thursday, Mar 4

Covariant channels: examples, characterization in terms of Choi operator

From  Felix Leditzky on 03/4/2021 13 plays 0  

MATH 595 Quantum channels I: Tuesday, Mar 2

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

From  Felix Leditzky on 03/2/2021 16 plays 0  

MATH 595 Quantum channels I: Thursday, Feb 25

Contents: Antidegradable channels

From  Felix Leditzky on 02/25/2021 19 plays 0  

MATH 595 Quantum channels I: Tuesday, Feb 23

Contents: PPT-channels, antidegradable channels

From  Felix Leditzky on 02/23/2021 14 plays 0  

MATH 595 Quantum channels I: Thursday, Feb 18

Contents: Entanglement-breaking channels, PPT channels

From  Felix Leditzky on 02/18/2021 16 plays 0  

MATH 595 Quantum channels I: Tuesday, Feb 16

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

From  Felix Leditzky on 02/16/2021 18 plays 0