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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Quantum Systems, Symmetries and Scattering

MP 10.4: Talk

Thursday, March 22, 2018, 15:00–15:20, Z6 - SR 1.012

Unitary Dilations of Discrete Quantum-Dynamical Semigroups — •Frederik vom Ende¹ and Gunther Dirr² — ¹TU München, Lichtenbergstr. 4 — ²Universität Würzburg, Emil-Fischer-Str. 40

Quantum channels acting on trace-class operators have a well-known Stinespring dilation originally described in the Schrödinger picture.

Here, we extend this concept to the whole dynamical semigroup induced by a quantum channel yielding a unitary dilation of the semigroup. Via duality of trace-class and bounded operators one immediatly gets a similar result for quantum channels in the Heisenberg picture. Following a similar line of thought, we mathematically structure (a) the solution of discrete quantum dynamical systems and (b) several types of discrete quantum dynamical control systems.