9 papers · 1 filter
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…
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…
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 continuou…