Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 11: Quantum Information (Concepts and Methods) I
Q 11.7: Vortrag
Montag, 11. März 2019, 15:30–15:45, S HS 001 Chemie
Non-asymptotic assisted distillation of quantum coherence — Bartosz Regula1, Ludovico Lami1, and •Alexander Streltsov2,3 — 1University of Nottingham, United Kingdom — 2Centre of New Technologies, University of Warsaw, Poland — 3Gdansk University of Technology, Poland
We characterize the operational task of environment-assisted distillation of quantum coherence under different sets of free operations when only a finite supply of copies of a given state is available. We first evaluate the one-shot assisted distillable coherence exactly, and introduce a semidefinite programming bound on it in terms of a smooth entropic quantity. We prove the bound to be tight for all systems in dimensions 2 and 3, which allows us to obtain computable expressions for the one-shot rate of distillation, establish an analytical expression for the best achievable fidelity of assisted distillation for any finite number of copies, and fully solve the problem of asymptotic zero-error assisted distillation for qubit and qutrit systems. Our characterization shows that all relevant sets of free operations in the resource theory of coherence have exactly the same power in the task of one-shot assisted coherence distillation, and furthermore resolves a conjecture regarding the additivity of coherence of assistance in dimension 3.