Environment-assisted and feedback-assisted stabilization of quantum stochastic evolutions

Francesco Ticozzi; Kazunori Nishio; Claudio Altafini

doi:10.1109/CDC.2012.6426791

Environment-assisted and feedback-assisted stabilization of quantum stochastic evolutions

Francesco Ticozzi, Kazunori Nishio, Claudio Altafini

Research output: Contribution to journal › Conference article › peer-review

Abstract

We consider a class of pure-state preparation problems for stochastic quantum dynamics, by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a Markovian environment. We prove that, whenever suitable dissipative effects are induced either by the unmonitored environment or by continuous-time measurements, open-loop time-invariant control is in principle sufficient to achieve stabilization of the target state (in probability). When this is not sufficient, we show that state stabilization can be attained for a wide class of models by the addition of a switching, filtering-based feedback control Hamiltonian.

Original language	English
Article number	6426791
Pages (from-to)	3620-3625
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426791
Publication status	Published - 2012 Dec 1
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 2012 Dec 10 → 2012 Dec 13

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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title = "Environment-assisted and feedback-assisted stabilization of quantum stochastic evolutions",

abstract = "We consider a class of pure-state preparation problems for stochastic quantum dynamics, by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a Markovian environment. We prove that, whenever suitable dissipative effects are induced either by the unmonitored environment or by continuous-time measurements, open-loop time-invariant control is in principle sufficient to achieve stabilization of the target state (in probability). When this is not sufficient, we show that state stabilization can be attained for a wide class of models by the addition of a switching, filtering-based feedback control Hamiltonian.",

author = "Francesco Ticozzi and Kazunori Nishio and Claudio Altafini",

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AU - Nishio, Kazunori

AU - Altafini, Claudio

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N2 - We consider a class of pure-state preparation problems for stochastic quantum dynamics, by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a Markovian environment. We prove that, whenever suitable dissipative effects are induced either by the unmonitored environment or by continuous-time measurements, open-loop time-invariant control is in principle sufficient to achieve stabilization of the target state (in probability). When this is not sufficient, we show that state stabilization can be attained for a wide class of models by the addition of a switching, filtering-based feedback control Hamiltonian.

AB - We consider a class of pure-state preparation problems for stochastic quantum dynamics, by means of Hamiltonian control, continuous measurement and quantum feedback, in the presence of a Markovian environment. We prove that, whenever suitable dissipative effects are induced either by the unmonitored environment or by continuous-time measurements, open-loop time-invariant control is in principle sufficient to achieve stabilization of the target state (in probability). When this is not sufficient, we show that state stabilization can be attained for a wide class of models by the addition of a switching, filtering-based feedback control Hamiltonian.

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