Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Quantum Dynamics, Decoherence, Quantum Information

DY 15.7: Talk

Tuesday, March 21, 2017, 11:00–11:15, ZEU 160

Disentangling Fubini-Study geodesics in bipartite Hilbert spaces — •Kristof Harms and Stefan Kehrein — Institut für Theoretische Physik, Göttingen, Germany

In classical statistics, the Fisher information metric gives rise to a notion of distance between probability distributions which is proportional to relative entropy on an infinitesimal scale. This notion is carried over to pure quantum states, where squared probability amplitudes with respect to an observable replace classical probabilities, by the Fubini-Study metric. We study the shape of geodesics with respect to this metric between arbitrary states in pure state spaces. In particular, we show that the geodesic from an entangled state to its closest separable state in a bipartite Hilbert space entirely remains in a subspace determined by its Schmidt decomposition, where the length of the geodesic depends only on the greatest Schmidt coefficient.