Search for tag: "quantum channels"

Contents: Robustness of Markov chains, approximate recovery

Contents: Structure of quantum Markov chains

Contents: Equality in the Holevo bound

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

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

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…

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

Contents: Conditional entropy, coherent information, mutual information

Contents: Properties of von Neumann entropy and conditional entropy

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

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

Contents: Properties of relative entropy, functions on operators

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

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

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

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

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

Contents: Covariant quantum channels, depolarizing channels

Covariant channels: examples, characterization in terms of Choi operator

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

Contents: Antidegradable channels

Contents: PPT-channels, antidegradable channels

Contents: Entanglement-breaking channels, PPT channels

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