320 citations · 876 across the 45 of their papers we have counts for
45 papers
Well-conditioned iterative methods for large open quantum systems
Gaspard Beugnot, Paul Gregory, Rémi Robin +1
Markovian open quantum systems are well modeled by the Lindblad Master Equation (ME) , where is a linear (super…
Calculus of Robinet: completely positive reconstruction of time-averaged diffusive quantum trajectories
Hector Hutin, Antoine Tilloy
Truly continuous quantum trajectories, obtained from homodyne or heterodyne readouts, can only ever be reconstructed approximately. The continuous measurement signal, needed for ex…
Wavelet Matrix Product States for Quantum Fields
Molly Kaplan, Antoine Tilloy
We introduce a variational method to solve continuum quantum models with discrete tensor network techniques. The method leverages wavelet matrix product states (wMPS): matrix produ…
Certified spectral functions from lattice Monte Carlo data
Sophie Mutzel, Antoine Tilloy
The Monte Carlo method, applied to lattice quantum field theory, gives access to Euclidean correlation functions with well-understood error bars. Recovering the observables one car…
Some progress on the use of the variational method in quantum field theory
Antoine Tilloy
Strongly coupled quantum field theories in dimensions are notoriously hard to solve non-perturbatively. Variational methods, despite their success for quantum many-body phy…
Extracting quantum field theory dynamics from an approximate ground state
Sophie Mutzel, Antoine Tilloy
We develop a linear-programming method to extract dynamical information from static ground-state correlators in quantum field theory. We recast the Källén-Lehmann inversion as a co…
Multi-Field Relativistic Continuous Matrix Product States
Karan Tiwana, Antoine Tilloy
Relativistic continuous matrix product states (RCMPS) are a powerful variational ansatz for quantum field theories of a single field. However, they inherit a property of their non-…
Time-averaged continuous quantum measurement
Pierre Guilmin, Pierre Rouchon, Antoine Tilloy
The theory of continuous quantum measurement allows to reconstruct the state of a system from a continuous stochastic measurement record . However, this truly continuous…
Probing the quantum motion of a macroscopic mechanical oscillator with a radio-frequency superconducting qubit
Kyrylo Gerashchenko, Rémi Rousseau, Léo Balembois +11
Long-lived mechanical resonators like drums oscillating at MHz frequencies and operating in the quantum regime are a powerful platform for quantum technologies and tests of fundame…
A relativistic continuous matrix product state study of field theories with defects
Karan Tiwana, Edoardo Lauria, Antoine Tilloy
We propose a method to compute expectation values in 1+1-dimensional massive Quantum Field Theories (QFTs) with line defects using Relativistic Continuous Matrix Product State (RCM…
Parameters estimation by fitting correlation functions of continuous quantum measurement
Pierre Guilmin, Pierre Rouchon, Antoine Tilloy
We propose a simple method to estimate the parameters of a continuously measured quantum system, by fitting correlation functions of the measured signal. We demonstrate the approac…
Bootstrapping the stationary state of bosonic open quantum systems
Gustave Robichon, Antoine Tilloy
We propose a method to compute expectation values of observables in the stationary state of a (Markovian) bosonic open quantum system. Using a hierarchy of semi-definite relaxation…
General quantum-classical dynamics as measurement based feedback
Antoine Tilloy
This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement an…
Correlation functions for realistic continuous quantum measurement
Pierre Guilmin, Pierre Rouchon, Antoine Tilloy
We propose a self-contained and accessible derivation of an exact formula for the -point correlation functions of the signal measured when continuously observing a quantum syste…
Symmetries and field tensor network states
Albert Gasull, Antoine Tilloy, J. Ignacio Cirac +1
We study the interplay between symmetry representations of the physical and virtual space on the class of tensor network states for critical spins systems known as field tensor net…
A study of the quantum Sinh-Gordon model with relativistic continuous matrix product states
Antoine Tilloy
I study the Sine-Gordon (SG) and Sinh-Gordon (ShG) quantum field theories with a recently introduced variational method, the relativistic continuous matrix product states (RCMPS).…
Non-Markovian wave-function collapse models are Bohmian-like theories in disguise
Antoine Tilloy, Howard M. Wiseman
Spontaneous collapse models and Bohmian mechanics are two different solutions to the measurement problem plaguing orthodox quantum mechanics. They have, a priori nothing in common.…
Relativistic continuous matrix product states for quantum fields without cutoff
Antoine Tilloy
I introduce a modification of continuous matrix product states (CMPS) that makes them adapted to relativistic quantum field theories (QFT). These relativistic CMPS can be used to s…
Variational method in relativistic quantum field theory without cutoff
Antoine Tilloy
The variational method is a powerful approach to solve many-body quantum problems non perturbatively. However, in the context of relativistic quantum field theory (QFT), it needs t…
Arbitrarily large neutron amplification in subcritical nuclear reactors
Antoine Tilloy
In a subcritical reactor, each neutron produces only keff < 1 neutron per generation (asymptotically and on average), and thus the neutron population decreases exponentially in the…
The subtle sound of quantum jumps
Antoine Tilloy
Could we hear the pop of a wave-function collapse, and if so, what would it sound like? There exist reconstructions or modifications of quantum mechanics (collapse models) where th…
Gaussian Continuous Tensor Network States for Simple Bosonic Field Theories
Teresa D. Karanikolaou, Patrick Emonts, Antoine Tilloy
Tensor networks states allow to find the low energy states of local lattice Hamiltonians through variational optimization. Recently, a construction of such states in the continuum…
Computing the renormalization group flow of two-dimensional theory with tensor networks
Clement Delcamp, Antoine Tilloy
We study the renormalization group flow of theory in two dimensions. Regularizing space into a fine-grained lattice and discretizing the scalar field in a controlled way, we…
Continuous collapse models on finite dimensional Hilbert spaces
Antoine Tilloy
We review recent results on the dynamics of continuous collapse models (or equivalently continuous measurement models) on finite dimensional Hilbert spaces. We mainly study the pur…