320 citations · 876 across the 45 of their papers we have counts for
30 papers · 1 filter
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…
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…
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…
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…
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…
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…
Does gravity have to be quantized? Lessons from non-relativistic toy models
Antoine Tilloy
It is often argued that gravity has to be a quantum theory simply because a fundamentally semiclassical approach would necessarily be inconsistent. Here I review recent Newtonian t…
Neutron star heating constraints on wave-function collapse models
Antoine Tilloy, Thomas M. Stace
Spontaneous wavefunction collapse models, like the Continuous Spontaneous Localization, are designed to suppress macroscopic superpositions, while preserving microscopic quantum ph…
Exact signal correlators in continuous quantum measurements
Antoine Tilloy
This article provides an exact formula for the signal n-point correlation functions of detectors continuously measuring an arbitrary quantum system, in the presence of detection im…
Comment on "Spontaneous collapse: A solution to the measurement problem and a source of the decay in mesonic systems"
Antoine Tilloy
In a recent article [Phys. Rev. A 94, 052128 (2016)], the authors compute the predictions of two collapse models on the transition probabilities of neutral mesons. Notably, they cl…
On GKLS dynamics for local operations and classical communication
Lajos Diósi, Antoine Tilloy
We define a time continuous version of the concept of "local operations and classical communication" (LOCC), ubiquitous in quantum information theory. It allows us to construct GKL…
Ghirardi-Rimini-Weber model with massive flashes
Antoine Tilloy
I introduce a modification of the Ghirardi-Rimini-Weber (GRW) model in which the flashes (or collapse space-time events) source a classical gravitational field. The resulting semi-…
Principle of least decoherence for Newtonian semi-classical gravity
Antoine Tilloy, Lajos Diósi
Recent works have proved that semi-classical theories of gravity needed not be fundamentally inconsistent, at least in the Newtonian regime. Using the machinery of continuous measu…
Interacting quantum field theories as relativistic statistical field theories of local beables
Antoine Tilloy
We propose a reformulation of quantum field theory (QFT) as a relativistic statistical field theory. This rewriting embeds a collapse model within an interacting QFT and thus provi…