Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Quantum Dynamics, Decoherence, Quantum Information

DY 15.9: Vortrag

Dienstag, 21. März 2017, 11:45–12:00, ZEU 160

An operational derivation of Jaynes' Principle — •Paul Boes, Rodrigo Gallego, Henrik Wilming, and Jens Eisert — Dahlem Center for Complex Quantum systems, Freie Universität Berlin

Jaynes principle states that a system should be assigned that state which has the largest entropy of those that are compatible with the available knowledge. Jaynes himself argued for the principle based on information theoretic least bias considerations.

Here, we prove an operational version of Jaynes' Principle: We show that there exists an equivalence relation between resource theories whose states are ``macroscopic'', based on partial information about a system's state, and resource theories whose states are just the corresponding maximum entropy states, in the sense that state transitions in one theory are possible iff they are possible in the other.

This equivalence arguably provides a better-suited operational justification for the application of Jaynes' Principles in a discipline like quantum thermodynamics than Jaynes' own argument.