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 system 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.

Cilluffo, D., Buonaiuto, G., Lesanovsky, I., Carollo, A., Lorenzo, S., Palma, G.M., et al. (2021). Microscopic biasing of discrete-time quantum trajectories. QUANTUM SCIENCE AND TECHNOLOGY, 6(4) [10.1088/2058-9565/ac15e2].

Microscopic biasing of discrete-time quantum trajectories

Cilluffo, D
;
Carollo, A;Lorenzo, S;Palma, GM;Ciccarello, F;
2021-08-09

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 system 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.
9-ago-2021
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Settore FIS/03 - Fisica Della Materia
Cilluffo, D., Buonaiuto, G., Lesanovsky, I., Carollo, A., Lorenzo, S., Palma, G.M., et al. (2021). Microscopic biasing of discrete-time quantum trajectories. QUANTUM SCIENCE AND TECHNOLOGY, 6(4) [10.1088/2058-9565/ac15e2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/517441
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