Microscopic biasing of discrete-time quantum trajectories

• URL: http://arxiv.org/abs/2007.15659v2
• Date: Thu, 23 Sep 2021 12:37:56 GMT
• Title: Microscopic biasing of discrete-time quantum trajectories
• Authors: Dario Cilluffo, Igor Lesanovsky, Giuseppe Buonaiuto, Angelo Carollo, Salvatore Lorenzo, G. Massimo Palma, Francesco Ciccarello and Federico Carollo
• Abstract summary: We consider a discrete-time quantum dynamics, where the open system collides sequentially with qubit probes which are then measured. We show that the desired biasing is achieved by suitably modifying the Kraus operators describing the discrete open dynamics. The above extends the theory of biased quantum trajectories from Lindblad-like dynamics to sequences of arbitrary dynamical maps.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a microscopic theory for biasing the quantum trajectories of an open quantum system, which renders rare trajectories typical. To this end we consider a discrete-time quantum dynamics, where the open system collides sequentially with qubit probes which are then measured. A theoretical framework is built in terms of thermodynamic functionals in order to characterize its quantum trajectories (each embodied by a sequence of measurement outcomes). We show that the desired biasing is achieved by suitably modifying the Kraus operators describing the discrete open dynamics. From a microscopical viewpoint and for short collision times, this corresponds to adding extra collisions which enforce the system to follow a desired rare trajectory. The above extends the theory of biased quantum trajectories from Lindblad-like dynamics to sequences of arbitrary dynamical maps, providing at once a transparent physical interpretation.

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