Probabilistic techniques and Quantum Information Theory

Collection Probabilistic techniques and Quantum Information Theory

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Date(s) 23/10/2017 - 27/10/2017

00:00:00 / 00:00:00

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Invariant measure for quantum trajectories

Quantum trajectories represent the state of a quantum system undergoing repeated indirect measurements. A quantum trajectory is therefore a sequence of density matrices, and a natural question is to describe its asymptotic behaviour as the number of measurements goes to infinity. In generic situations, this behaviour can at best be a convergence in distribution and is therefore related to the existence of an invariant measure for the evolution. We give conditions for the existence and uniqueness of an invariant measure, and show the convergence in distribution. This is a joint work with Tristan Benoist, Martin Fraas, and Clément Pellegrini.

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Date of recording 23/10/2017
Date of publication 31/10/2017
Institution IHP
Format MP4

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