Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 56: Quantum Information (Coherence and Entanglement)

Q 56.2: Vortrag

Donnerstag, 8. März 2018, 10:45–11:00, K 1.019

Coherence Fluctuation Relations — •Benjamin Morris, Bartosz Regula, and Gerardo Adesso — School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.

Following recent work on the role of resource theories in the emergence of fluctuation relations, we have identified coherence fluctuation theorems during a pure state transformation. These results have allowed a formal identification of relations analogues to the Jarzynski and Crooks relations within the resource theory of quantum coherence. This has been achieved by considering reversible pure state manipulations under strictly incoherent operations supplemented by the use of a coherence battery, i.e., a storage device whose degree of coherence is allowed to fluctuate while mediating the transformation. The necessity of a battery to mediate the transformation allows a comparison of coherent transformations to classical thermodynamic transformations where the amount of fluctuating work is generally described via an intermediary system. Our work on coherence provides another example of a resource theory (in addition to athermality and entanglement) where a connection is established between majorization theory and fluctuation relations. This is hoped to provide further insight into the general structure of battery assisted quantum resource theories, and more specifically in the interplay between quantum coherence and quantum thermodynamics.