Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 54: Quantum Information: Quantum Computing and Communication II

Q 54.8: Talk

Thursday, March 3, 2016, 16:15–16:30, e214

Genuine Quantum Coherence — •Alexander Streltsov — Freie Universität Berlin

The basis of any quantum resource theory are free states and free operations, these are states and operations which can be created or performed at no cost. In the resource theory of quantum coherence free states are states which are diagonal in a fixed reference basis. This choice is natural in many experimental scenarios where the reference basis is singled out by the unavoidable decoherence. The corresponding free operations are called incoherent, they can be implemented as a generalized measurement which does not create any coherence. However, a general quantum operation admits different experimental realizations, and a quantum operation which seems incoherent in one experimental realization might create coherence in another. Starting from this observation, we propose the framework of genuine quantum coherence. This approach is based on a simple principle: we demand that a genuinely incoherent operation preserves all incoherent states. This simple condition automatically guarantees that the operation is incoherent regardless of the particular experimental realization. Among other results we introduce and study the task of incoherent remote state preparation and compare our approach to the framework of quantum thermodynamics and the resource theory of asymmetry. Remarkably, we also show that the Hilbert-Schmidt distance to the set of incoherent states is a faithful measure of genuine coherence.

For details, see arXiv:1511.08346