Search Results - "Benoist, Tristan"
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1
The appearance of particle tracks in detectors
Published in Communications in mathematical physics (01-07-2021)“…The phenomenon that a quantum particle propagating in a detector, such as a Wilson cloud chamber, leaves a track close to a classical trajectory is analyzed…”
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2
Emergence of Jumps in Quantum Trajectories via Homogenization
Published in Communications in mathematical physics (01-11-2021)“…In the strong noise regime, we study the homogenization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When…”
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3
Deviation bounds and concentration inequalities for quantum noises
Published in Quantum (Vienna, Austria) (04-08-2022)“…We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum…”
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4
On bipartite unitary matrices generating subalgebra-preserving quantum operations
Published in Linear algebra and its applications (15-05-2017)“…We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix…”
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5
Full statistics of energy conservation in two-time measurement protocols
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (11-09-2015)“…The first law of thermodynamics states that the average total energy current between different reservoirs vanishes at large times. In this paper we examine…”
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6
Large Time Behavior and Convergence Rate for Quantum Filters Under Standard Non Demolition Conditions
Published in Communications in mathematical physics (01-10-2014)“…A quantum system S undergoing continuous time measurement is usually described by a jump-diffusion stochastic differential equation. Such an equation is called…”
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7
Limit theorems for quantum trajectories
Published in Stochastic processes and their applications (01-10-2023)“…Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Under purification and…”
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Exponential Stability of Subspaces for Quantum Stochastic Master Equations
Published in Annales Henri Poincaré (01-06-2017)“…We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously monitored systems. We show that…”
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On Entropy Production of Repeated Quantum Measurements I. General Theory
Published in Communications in mathematical physics (2018)“…We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we…”
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10
Repeated Quantum Non-Demolition Measurements: Convergence and Continuous Time Limit
Published in Annales Henri Poincaré (01-05-2013)“…We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which von…”
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11
Emergence of jumps in quantum trajectories via homogeneization
Published in Communications in mathematical physics (2021)“…In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement…”
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12
On Entropy Production of Repeated Quantum Measurements II. Examples
Published in Journal of statistical physics (01-03-2021)“…We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of…”
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13
Invariant measure for quantum trajectories
Published in Probability theory and related fields (01-06-2019)“…We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by…”
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14
Control of Fluctuations and Heavy Tails for Heat Variation in the Two-Time Measurement Framework
Published in Annales Henri Poincaré (01-02-2019)“…We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the…”
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15
Heat Conservation and Fluctuations Between Quantum Reservoirs in the Two-Time Measurement Picture
Published in Journal of statistical physics (01-02-2020)“…This work concerns the statistics of the Two-Time Measurement definition of heat variation in each reservoir of a thermodynamic quantum system. We study the…”
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16
A note on two-times measurement entropy production and modular theory
Published in Letters in mathematical physics (16-02-2024)“…Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the…”
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17
Energy Statistics in Open Harmonic Networks
Published in Journal of statistical physics (01-09-2017)“…We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full large deviation…”
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18
Invariant Measure for Stochastic Schrödinger Equations
Published in Annales Henri Poincaré (01-02-2021)“…Quantum trajectories are Markov processes that describe the time evolution of a quantum system undergoing continuous indirect measurement. Mathematically, they…”
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19
Quantum non demolition measurements: Parameter estimation for mixtures of multinomials
Published in Electronic journal of statistics (01-01-2018)“…In Quantum Non Demolition measurements, the sequence of observations is distributed as a mixture of multinomial random variables. Parameters of the dynamics…”
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Dark Subspaces and Invariant Measures of Quantum Trajectories
Published 27-09-2024“…Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent…”
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