Freiburg 2019 – scientific programme
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FM: Fall Meeting
FM 35: Entanglement: Many-Body Dynamics I
FM 35.7: Talk
Tuesday, September 24, 2019, 15:30–15:45, 2004
Quantification of quantum dynamics with input-output games — Roope Uola1, •Tristan Kraft2, and Alastair Abbott1 — 1Département de Physique Appliquée, Université de Genève, CH-1211 Genève, Switzerland — 2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany
Recent developments regarding resource theories have shown that any quantum state or measurement resource, with respect to a convex (and compact) set of resourceless objects, provides an advantage in a tailored subchannel or state discrimination task, respectively. Here we show that an analogous, more general result is also true in the case of dynamical quantum resources, i.e., channels and instruments. In the scenario we consider, the tasks associated to a resource are input-output games. The advantage a resource provides in these games, in terms of success probability, is naturally quantified by a generalized robustness measure. We illustrate our approach by applying it to a broad collection of examples, including classical and measure-and-prepare channels, measurement and channel incompatibility. We finish by showing that our approach generalizes to higher-order dynamics where it can be used, for example, to witness causal properties of supermaps.