Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 11: Quantum Information (Concepts and Methods) I
Q 11.3: Vortrag
Montag, 11. März 2019, 14:30–14:45, S HS 001 Chemie
Stochastic Coherence Theory for Qubits — •Thomas Theurer1, Alexander Streltsov2,3, and Martin Bodo Plenio1 — 1Institute of Theoretical Physics, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany — 2Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland — 3National Quantum Information Centre in Gdańsk, 81-824 Sopot, Poland
The resource theory of coherence studies the operational value of superpositions in quantum technologies. A key question in this theory concerns the efficiency of manipulation and interconversion of this resource. Here we solve this question completely for mixed states of qubits by determining the optimal probabilities for mixed state conversions via stochastic incoherent operations. This implies new lower bounds on the asymptotic state conversion rate between mixed single-qubit states which in some cases are proven to be tight. The results on qubits are partially generalized to arbitrary dimensions and assisted state transformations are considered. Furthermore, we obtain the minimal distillable coherence for given coherence cost among all single-qubit states, which sheds new light on the irreversibility of coherence theory.