11 papers
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…
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…
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…