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From Felix Leditzky on 04/8/2021
Contents: Properties of von Neumann entropy and conditional entropy -
From Felix Leditzky on 04/6/2021
Contents: Relative modular operator, proof of data-processing inequality -
From Felix Leditzky on 04/1/2021
Contents: Relative entropy and joint convexity, functions on operators, relative modular operator -
From Felix Leditzky on 03/30/2021
Contents: Properties of relative entropy, functions on operators -
From Felix Leditzky on 03/25/2021
Contents: Quantum state discrimination, asymmetric hypothesis testing, Quantum Stein's Lemma, relative entropy -
From Felix Leditzky on 03/23/2021
Contents: Recap (quantum states, quantum channels), quantum state discrimination, trace distance -
From Felix Leditzky on 03/18/2021
Contents: Minimum output entropy and classical capacity of quantum channels, additivity conjecture -
From Felix Leditzky on 03/16/2021
Contents: Irreducibly covariant channels, Holevo information, minimum output entropy -
From Felix Leditzky on 03/11/2021
Contents: Covariant quantum channels, channel twirling, Haar measure, irreducibly covariant channels -
From Felix Leditzky on 03/9/2021
Contents: Covariant quantum channels, depolarizing channels -
From Felix Leditzky on 03/4/2021
Covariant channels: examples, characterization in terms of Choi operator -
From Felix Leditzky on 03/2/2021
Contents: Degradable channels, covariant channels, basics of representation theory -
From Felix Leditzky on 02/25/2021
Contents: Antidegradable channels -
From Felix Leditzky on 02/23/2021
Contents: PPT-channels, antidegradable channels -
From Felix Leditzky on 02/18/2021
Contents: Entanglement-breaking channels, PPT channels -
From Felix Leditzky on 02/16/2021
Contents: Generalized dephasing channels, Holevo information, unital qubit channels, entanglement-breaking channels -
From Felix Leditzky on 02/11/2021
Contents: Amplitude damping channel, erasure channel, generalized dephasing channels -
From Felix Leditzky on 02/9/2021
Contents: Complementary channels, examples of qubit channels -
From Felix Leditzky on 02/4/2021
Linear representation of quantum channels -
From Felix Leditzky on 02/2/2021
Contents: Kraus representation of quantum channels, isometric and unitary picture -
From Felix Leditzky on 01/28/2021
Contents: Relating properties of linear maps to properties of their Choi operators, examples of CP maps, transposition as a positive but not CP map, Kraus representation… -
From Felix Leditzky on 01/26/2021
Content: evolution of closed and open quantum system, definition of quantum channels, Choi-Jamiolkowski isomorphism -
From Timur Oikhberg on 08/25/2020
444 Lecture 2 (Wednesday Aug 26) -
From Marius Junge on 04/8/2020
Math 595 QIT