Microscopic biasing of discrete-time quantum trajectories

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.

arXiv comment7+3 pages, 4 figures

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Cited by in corpus (6)

• Thermodynamics of quantum trajectories on a quantum computer
• Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Biasing quantum trajectories for enhanced sensing
• Nonequilibrium steady states in multi-bath quantum collision models
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits