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Q: Fachverband Quantenoptik und Photonik

Q 56: Quantum Information (Coherence and Entanglement)

Q 56.1: Vortrag

Donnerstag, 8. März 2018, 10:30–10:45, K 1.019

Structure of the resource theory of quantum coherence — •Alexander Streltsov¹, Swapan Rana², Paul Boes³, and Jens Eisert³ — ¹Gdansk University of Technology, Poland — ²ICFO, Barcelona, Spain — ³Freie Universität Berlin, Germany

Quantum coherence is an essential feature of quantum mechanics which is responsible for the departure between classical and quantum world. The recently established resource theory of quantum coherence studies possible quantum technological applications of quantum coherence, and limitations which arise if one is lacking the ability to establish superpositions. An important open problem in this context is a simple characterization for incoherent operations, constituted by all possible transformations allowed within the resource theory of coherence. Here, we contribute to such a characterization by proving several upper bounds on the maximum number of incoherent Kraus operators in a general incoherent operation. For a single qubit, we show that the number of incoherent Kraus operators is not more than 5, and it remains an open question if this number can be reduced to 4. The presented results are also relevant for quantum thermodynamics, as we demonstrate by introducing the class of Gibbs-preserving strictly incoherent operations, and solving the corresponding mixed-state conversion problem for a single qubit.
See also A. Streltsov, S. Rana, P. Boes, and J. Eisert,
Phys. Rev. Lett. 119, 140402 (2017).