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Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements.
A martingale analogue of kolmogorov’s law of the iterated logarithm
William F Stout · 1970
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Martingale limit theory and its application
Peter Hall and Christopher C. Heyde · 1980
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Products of random matrices with applications to Schrödinger operators
Philippe Bougerol and Jean Lacroix · 1985
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Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
Michael F Barnsley, Stephen G Demko, John H Elton, and Jeffrey S Geronimo · 1988
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Dirichlet Forms on Fractals and Products of Random Matrices
Shigeo Kusuoka · 1989
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An Open Systems Approach to Quantum Optics: Lectures Presented at the Université Libre de Bruxelles, October 28 to November 4, 1991
Howard Carmichael · 1993
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Moderate deviations for martingales and mixing random processes
Fu-Qing Gao · 1996
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An introduction to ergodic theory
Peter Walters · 2000
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An ergodic theorem for quantum counting processes
Burkhard Kümmerer and Hans Maassen · 2003
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A pathwise ergodic theorem for quantum trajectories
Burkhard Kümmerer and Hans Maassen · 2004
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Exploring the quantum: atoms, cavities, and photons
Serge Haroche and J-M Raimond · 2006
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Purification of quantum trajectories
Hans Maassen and Burkhard Kümmerer · 2006
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An introduction to quantum filtering
Luc Bouten, Ramon Van Handel, and Matthew R James · 2007
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Progressive field-state collapse and quantum non-demolition photon counting
Christine Guerlin, Julien Bernu, Samuel Deléglise, Clément Sayrin, Sébastien Gleyzes, Stefan Kuhr, Michel Brune, Jean-Michel Raimond, and Serge Haroche · 2007
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Existence, uniqueness and approximation of a stochastic schrödinger equation: the diffusive case
Clément Pellegrini · 2008
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Quantum trajectories and measurements in continuous time: the diffusive case
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Large deviations techniques and applications
Amir Dembo and Ofer Zeitouni · 2009
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Sean Meyn and Richard L. Tweedie · 2009
Sanov and central limit theorems for output statistics of quantum markov chains
Merlijn van Horssen and Madalin Guta · 2015
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On entropy production of repeated quantum measurements i. general theory
Tristan Benoist, V Jakšić, Yan Pautrat, and C-A Pillet · 2018
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Invariant measure for quantum trajectories
Tristan Benoist, Martin Fraas, Yan Pautrat, and Clément Pellegrini · 2019
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Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces
Noé Cuneo, Vojkan Jakšić, Claude-Alain Pillet, and Armen Shirikyan · 2019
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On entropy production of repeated quantum measurements ii. examples
Tristan Benoist, Noé Cuneo, Vojkan Jakšić, and C-A Pillet · 2021
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Invariant measure for stochastic schrödinger equations
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Markov chains approximation of jump-diffusion stochastic master equations
Clément Pellegrini · 2010
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Quantum Measurement and Control
Howard M. Wiseman and Gerard J. Milburn · 2010
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Quantum channels & operations: Guided tour
Michael M. Wolf · 2012
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Repeated quantum non-demolition measurements: convergence and continuous time limit
Michel Bauer, Tristan Benoist, and Denis Bernard · 2013
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Central limit theorems for open quantum random walks and quantum measurement records
Stéphane Attal, Nadine Guillotin-Plantard, and Christophe Sabot · 2015
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Homogeneous open quantum random walks on a lattice
Raffaella Carbone and Yan Pautrat · 2015
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Tristan Benoist, Martin Fraas, Yan Pautrat, and Clément Pellegrini · 2021
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Ergodicity of kusuoka measures on quantum trajectories
Anna Szczepanek · 2021
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On a generalized central limit theorem and large deviations for homogeneous open quantum walks
Raffaella Carbone, Federico Girotti, and Anderson Melchor Hernandez · 2022
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Concentration inequalities for output statistics of quantum markov processes
Federico Girotti, Juan P Garrahan, and Madalin Guta · 2022
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An ergodic theorem for quantum processes with applications to matrix product states
Ramis Movassagh and Jeffrey Schenker · 2022
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Asymptotic properties for output measurement processes, an ergodic theory approach
Tristan Benoist, Linda Greggio, and Clément Pellegrini · 2023
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Spectral gap and limit theorems for quantum trajectories
Tristan Benoist, Arnaud Hautecœur, and Clément Pellegrini · 2023
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