65 citations · 711 across the 31 of their papers we have counts for
31 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…
A Modular Engine for Quantum Monte Carlo Integration
Ismail Yunus Akhalwaya, Adam Connolly, Roland Guichard +8
We present the Quantum Monte Carlo Integration (QMCI) engine developed by Quantinuum. It is a quantum computational tool for evaluating multi-dimensional integrals that arise in va…
Probing the large deviations for the Beta random walk in random medium
Alexander K. Hartmann, Alexandre Krajenbrink, Pierre Le Doussal
We consider a discrete-time random walk on a one-dimensional lattice with space and time-dependent random jump probabilities, known as the Beta random walk. We are interested in th…
The weak noise theory of the O'Connell-Yor polymer as an integrable discretisation of the nonlinear Schrodinger equation
Alexandre Krajenbrink, Pierre Le Doussal
We investigate and solve the weak noise theory for the semi-discrete O'Connell-Yor directed polymer. In the large deviation regime, the most probable evolution of the partition fun…
The crossover from the Macroscopic Fluctuation Theory to the Kardar-Parisi-Zhang equation controls the large deviations beyond Einstein's diffusion
Alexandre Krajenbrink, Pierre Le Doussal
We study the crossover from the macroscopic fluctuation theory (MFT) which describes 1D stochastic diffusive systems at late times, to the weak noise theory (WNT) which describes t…
Half-space stationary Kardar-Parisi-Zhang equation beyond the Brownian case
Guillaume Barraquand, Alexandre Krajenbrink, Pierre Le Doussal
We study the Kardar-Parisi-Zhang equation on the half-line with Neumann type boundary condition. Stationary measures of the KPZ dynamics were characterized in recen…
Inverse scattering solution of the weak noise theory of the Kardar-Parisi-Zhang equation with flat and Brownian initial conditions
Alexandre Krajenbrink, Pierre Le Doussal
We present the solution of the weak noise theory (WNT) for the Kardar-Parisi-Zhang equation in one dimension at short time for flat initial condition (IC). The non-linear hydrodyna…
Fishnet four-point integrals: integrable representations and thermodynamic limits
Benjamin Basso, Lance J. Dixon, David A. Kosower +2
We consider four-point integrals arising in the planar limit of the conformal "fishnet" theory in four dimensions. They define a two-parameter family of higher-loop Feynman integra…
Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
Stefano Scopa, Alexandre Krajenbrink, Pasquale Calabrese +1
We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperat…
The inverse scattering of the Zakharov-Shabat system solves the weak noise theory of the Kardar-Parisi-Zhang equation
Alexandre Krajenbrink, Pierre Le Doussal
We solve the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension at short time by introducing an approach which combines field theoretical, probabilistic an…
Interplay between transport and quantum coherences in free fermionic systems
Tony Jin, Tristan Gautié, Alexandre Krajenbrink +2
We study the quench dynamics in free fermionic systems in the prototypical bipartitioning protocol obtained by joining two semi-infinite subsystems prepared in different states, ai…
Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics and spiked random matrices: pinning and localization
Alexandre Krajenbrink, Pierre Le Doussal, Neil O'Connell
We revisit the problem of an elastic line (e.g. a vortex line in a superconductor) subject to both columnar disorder and point disorder in dimension . Upon applying a transv…
From Painlevé to Zakharov-Shabat and beyond: Fredholm determinants and integro-differential hierarchies
Alexandre Krajenbrink
As Fredholm determinants are more and more frequent in the context of stochastic integrability, we unveil the existence of a common framework in many integrable systems where they…
Half-space stationary Kardar-Parisi-Zhang equation
Guillaume Barraquand, Alexandre Krajenbrink, Pierre Le Doussal
We study the solution of the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height on the positive half line, equivalently the free energy…
From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics
Tony Jin, Alexandre Krajenbrink, Denis Bernard
We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process which is a stochastic model of fermions on a lattice hopping with random amplitudes. In this…
Delta-Bose gas on a half-line and the KPZ equation: boundary bound states and unbinding transitions
Jacopo De Nardis, Alexandre Krajenbrink, Pierre Le Doussal +1
We revisit the Lieb-Liniger model for bosons in one dimension with attractive delta interaction in a half-space with diagonal boundary conditions. This model is…
Probing the large deviations of the Kardar-Parisi-Zhang equation at short time with an importance sampling of directed polymers in random media
Alexander K. Hartmann, Alexandre Krajenbrink, Pierre Le Doussal
The one-point distribution of the height for the continuum Kardar-Parisi-Zhang (KPZ) equation is determined numerically using the mapping to the directed polymer in a random potent…
Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
Alexandre Krajenbrink, Pierre Le Doussal
We consider the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height on the positive half line with boundary condition $\partial_x h(x,t)…
Distribution of Brownian coincidences
Alexandre Krajenbrink, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We study the probability distribution, , of the coincidence time , i.e. the total local time of all pairwise coincidences of independent Brownian walkers. We conside…
On the qubit routing problem
Alexander Cowtan, Silas Dilkes, Ross Duncan +3
We introduce a new architecture-agnostic methodology for mapping abstract quantum circuits to realistic quantum computing devices with restricted qubit connectivity, as implemented…