Search Results - "Pellegrini, Clément"

Continuous Time Open Quantum Random Walks and Non-Markovian Lindblad Master Equations by Pellegrini, Clément

“…A new type of quantum random walks, called Open Quantum Random Walks , has been developed and studied in Attal et al. (Open quantum random walks, preprint) and…”
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Large Time Behavior and Convergence Rate for Quantum Filters Under Standard Non Demolition Conditions by Benoist, Tristan, Pellegrini, Clément

“…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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The asymmetric quantum cloning region by Nechita, Ion, Pellegrini, Clément, Rochette, Denis

“…Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal quantum cloning is prohibited by the laws of quantum mechanics, only…”
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Emergence of Jumps in Quantum Trajectories via Homogenization by Benoist, Tristan, Bernardin, Cédric, Chetrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément

“…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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Limit theorems for quantum trajectories by Benoist, Tristan, Fatras, Jan-Luka, Pellegrini, Clément

“…Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Under purification and…”
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Existence, Uniqueness and Approximation of a Stochastic Schrödinger Equation: The Diffusive Case by Pellegrini, Clément

“…Recent developments in quantum physics make heavy use of so-called "quantum trajectories." Mathematically, this theory gives rise to "stochastic Schrödinger…”
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A geometrical description of the universal 1→2 asymmetric quantum cloning region by Nechita, Ion, Pellegrini, Clément, Rochette, Denis

“…We consider the problem of determining the achievable region of the universal 1 → 2 asymmetric quantum cloning problem. This concerns the quantum cloning of…”
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Exponential Stability of Subspaces for Quantum Stochastic Master Equations by Benoist, Tristan, Pellegrini, Clément, Ticozzi, Francesco

“…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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Existence, uniqueness and approximation of the jump-type stochastic Schrödinger equation for two-level systems by Pellegrini, Clément

“…In quantum physics, recent investigations deal with the so-called “stochastic Schrödinger equations” theory. This concerns stochastic differential equations of…”
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Algebra of Nonlocal Boxes and the Collapse of Communication Complexity by Botteron, Pierre, Broadbent, Anne, Chhaibi, Reda, Nechita, Ion, Pellegrini, Clément

“…Communication complexity quantifies how difficult it is for two distant computers to evaluate a function f ( X , Y ) , where the strings X and Y are…”
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Random repeated quantum interactions and random invariant states by Nechita, Ion, Pellegrini, Clément

“…We consider a generalized model of repeated quantum interactions, where a system is interacting in a random way with a sequence of independent quantum systems…”
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Existence, uniqueness and approximation of a stochastic Schrödinger equation: The diffusive case by Pellegrini, Clément

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Quantum non demolition measurements: Parameter estimation for mixtures of multinomials by Benoist, Tristan, Gamboa, Fabrice, Pellegrini, Clément

“…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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Poisson and Diffusion Approximation of Stochastic Master Equations with Control by Pellegrini, Clément

“…Quantum Trajectories are solutions of stochastic differential equations. Such equations are called Stochastic Master Equations and describe random phenomena in…”
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Large deviation principle for invariant distributions of memory gradient diffusions by Gadat, Sébastien, Panloup, Fabien, Pellegrini, Clément

“…In this paper, we consider a class of diffusion processes based on a memory gradient descent, i.e. whose drift term is built as the average all along the past…”
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Quantum trajectories: Memory and continuous observation by Barchielli, Alberto, Pellegrini, Clément, Petruccione, Francesco

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Random pure quantum states via unitary Brownian motion by Nechita, Ion, Pellegrini, Clément

“…We introduce a new family of probability distributions on the set of pure states of a finite dimensional quantum system. Without any a priori assumptions, the…”
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Parameter Estimation for Quantum Trajectories: Convergence Result by Bompais, Mael, Amini, Nina H., Pellegrini, Clement

“…Quantum trajectories describe the evolution of quantum systems undergoing indirect measurement. In the discrete-time setting, the state of the system is…”
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A geometrical description of the universal $$1 \rightarrow 2$$ asymmetric quantum cloning region by Nechita, Ion, Pellegrini, Clément, Rochette, Denis

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Spiking and collapsing in large noise limits of SDEs by Bernardin, Cédric, Chetrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément

“…We analyze the strong noise limit of one-dimensional stochastic differential equations (SDEs). Our initial motivation comes from continuous measurements of…”
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