5 papers
Decoded Quantum Interferometry Beyond Hamming: Rank-Metric and Translation Association Schemes
Alexandre Krajenbrink, Colin Krawchuk, Ansis Rosmanis +1
Decoded Quantum Interferometry (DQI) uses coherent decoding and a quantum Fourier transform to find high-quality solutions of structured optimisation problems. Existing analyses ar…
Mesoscopic fluctuation theory of particle systems driven by Poisson noise: study of the -TASEP
Alexandre Krajenbrink, Pierre Le Doussal
We pursue our study of integrable weak noise theories of directed polymer and interacting particle stochastic models in the 1D KPZ universality class. Here we focus on the -TASE…
Integrability and exact large deviations of the weakly-asymmetric exclusion process
Alexandre Krajenbrink, Pierre Le Doussal
The weakly asymmetric exclusion process (WASEP) in one dimension is a paradigmatic system of interacting particles described by the macroscopic fluctuation theory (MFT) in the pres…
Quantum Monte Carlo Integration for Simulation-Based Optimisation
Jingjing Cui, Philippe J. S. de Brouwer, Steven Herbert +7
We investigate the feasibility of integrating quantum algorithms as subroutines of simulation-based optimisation problems with relevance to and potential applications in mathematic…
Integrable Matrix Probabilistic Diffusions and the Matrix Stochastic Heat Equation
Alexandre Krajenbrink, Pierre Le Doussal
We introduce a matrix version of the stochastic heat equation, the MSHE, and obtain its explicit invariant measure in spatial dimension . We show that it is classically integr…