41 citations · 90 across the 17 of their papers we have counts for
18 papers
A fidelity metric for quantum annealing benchmarked by extreme scaling quantum Monte-Carlo simulations
Gabriel Gouraud, Miha Srdinsek, Xavier Waintal
Quantum annealers are supposed to follow adiabatically the ground state of a system as its Hamiltonian slowly interpolates between a trivial phase and a non-trivial one; the non-tr…
A multilevel tensor network compression technique for simulating Lindblad dynamics in superconducting circuits
Adrien Moulinas, Xavier Waintal
Designing superconducting quantum hardware requires simulation tools that can account for various deviations from ideal scenarios. This, in turn, requires approaches that automatic…
Replica Tensor Train
Miha Srdinsek, Gabriel Gouraud, Xavier Waintal
We describe a numerical many-body technique that is based on both tensor networks and quantum Monte Carlo. The variational ansatz is a tensor network that can harvest volume-law en…
Tailoring tensor network techniques to the quantics representation for highly inhomogeneous problems and few body problems
Jheng-Wei Li, Nicolas Jolly, Xavier Waintal
Tensor network techniques are becoming increasingly popular tools to solve partial differential equations within the so-called quantics representation. Their popularity stems from…
Effect of electron-electron interactions on the propagation of ultrashort voltage pulses in a Mach-Zehnder interferometer
Prasoon Kumar, Thomas Kloss, Xavier Waintal
Electronic interferometers have been identified as possible candidates for building electronic flying qubits. Such a regime requires ultrafast voltage pulses whose duration is shor…
Who can compete with quantum computers? Lecture notes on quantum inspired tensor networks computational techniques
Xavier Waintal, Chen-How Huang, Christoph W. Groth
This is a set of lectures on tensor networks with a strong emphasis on the core algorithms involving Matrix Product States (MPS) and Matrix Product Operators (MPO). Compared to oth…
Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
Marcel Niedermeier, Adrien Moulinas, Thibaud Louvet +2
Solving partial differential equations of highly featured problems represents a formidable challenge, where reaching high precision across multiple length scales can require a proh…
Electrostatics in semiconducting devices II: Solving the Helmholtz equation
Antonio Lacerda-Santos, Xavier Waintal
The convergence of iterative schemes to achieve self-consistency in mean field problems such as the Schrödinger-Poisson equation is notoriously capricious. It is particularly diffi…
Hybrid between biologically and quantum-inspired many-body states
Miha Srdinšek, Xavier Waintal
Deep neural networks can represent very different sorts of functions, including complex quantum many-body states. Tensor networks can also represent these states, have more structu…
A comprehensive study of out-of-equilibrium Kondo effect and Coulomb blockade
Matthieu Jeannin, Yuriel Núñez-Fernández, Thomas Kloss +2
We present a comprehensive set of numerically exact results for the Anderson model of a quantum dot coupled to two electrodes in non-equilibrium regime. We use a high order perturb…
Electrostatics in semiconducting devices I : The Pure Electrostatics Self Consistent Approximation
A. Lacerda-Santos, Xavier Waintal
In quantum nanoelectronics devices, the electrostatic energy is the largest energy scale at play and, to a large extend, it determines the charge distribution inside the devices. H…
Propagation of ultrashort voltage pulses through a small quantum dot
Thomas Kloss, Xavier Waintal
The coherent transport of time-resolved ultrafast excitations in nanoelectronic interferometers is expected to exhibit an interesting interplay between the interferences and the ti…
Electronic interferometry with ultrashort plasmonic pulses
Seddik Ouacel, Lucas Mazzella, Thomas Kloss +17
Electronic flying qubits offer an interesting alternative to photonic qubits: electrons propagate slower, hence easier to control in real time, and Coulomb interaction enables dire…
Learning tensor networks with tensor cross interpolation: new algorithms and libraries
Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin +8
The tensor cross interpolation (TCI) algorithm is a rank-revealing algorithm for decomposing low-rank, high-dimensional tensors into tensor trains/matrix product states (MPS). TCI…
Matrix product states and first quantization
Jheng-Wei Li, Xavier Waintal
Common wisdom says that the entanglement of fermionic systems can be low in the second quantization formalism but is extremely large in the first quantization. Hence Matrix Product…
The Quantum House Of Cards
Xavier Waintal
Quantum computers have been proposed to solve a number of important problems such as discovering new drugs, new catalysts for fertilizer production, breaking encryption protocols,…
A general algorithm for computing bound states in infinite tight-binding systems
M. Istas, C. Groth, A. R. Akhmerov +2
We propose a robust and efficient algorithm for computing bound states of infinite tight-binding systems that are made up of a finite scattering region connected to semi-infinite l…
Focused Crossed Andreev Reflection
Håvard Haugen, Arne Brataas, Xavier Waintal +1
We consider non-local transport in a system with one superconducting and two normal metal terminals. Electron focusing by weak perpendicular magnetic fields is shown to tune the ra…