6533b821fe1ef96bd127c268
RESEARCH PRODUCT
Microscopic biasing of discrete-time quantum trajectories
Dario CilluffoDario CilluffoDario CilluffoFederico CarolloSalvatore LorenzoG. Massimo PalmaG. Massimo PalmaAngelo CarolloFrancesco CiccarelloFrancesco CiccarelloIgor LesanovskyIgor LesanovskyGiuseppe Buonaiutosubject
PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciPhysics and Astronomy (miscellaneous)Quantum dynamicsMaterials Science (miscellaneous)FOS: Physical sciencesbiased dynamicsOpen system (systems theory)Atomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della Materiabiased dynamics; discrete-time quantum dynamics; collision model; quantum trajectoriesOpen quantum systemClassical mechanicsquantum trajectoriesDiscrete time and continuous timeQubitTrajectorycollision modelMicroscopic theoryElectrical and Electronic EngineeringQuantum Physics (quant-ph)Quantumdiscrete-time quantum dynamicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-09 |