6 papers
Introduction to matrix-product states and tensor networks
Grégoire Misguich
These notes provide an introduction to tensor-network methods in quantum many-body physics, with an emphasis on matrix-product states (MPS). They develop the basic tensor-network l…
Optimal Decoding of Small Codes by Density Matrix Propagation
Anthony Benois, Pierre Cussenot, Grégoire Misguich +2
Accurate and efficient decoding is a crucial component for achieving fault-tolerant quantum computing. Realistic circuit-level noise introduces temporal correlations and degeneracy…
TensorMixedStates: a Julia library for simulating pure and mixed quantum states using matrix product states
Jérôme Houdayer, Grégoire Misguich
We introduce TensorMixedStates, a Julia library built on top of ITensor which allows the simulation of quantum systems in the presence of dissipation using matrix product states (M…
Random-State Generation and Preparation Complexity in Rydberg Atom Arrays
Edison S. Carrera, Grégoire Misguich
Rydberg atom arrays are powerful platforms for studying quantum many-body systems. We consider the Rydberg-Ising Hamiltonian on periodic chains and numerically study ensembles of s…
Many-body Quantum Score: a scalable benchmark for digital and analog quantum processors and first test on a commercial neutral atom device
Harold Erbin, Pierre-Louis Burdeau, Corentin Bertrand +2
We propose the Many-body Quantum Score (MBQS), a practical and scalable application-level benchmark protocol designed to evaluate the capabilities of quantum processing units (QPUs…
Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
Edison S. Carrera, Harold Erbin, Grégoire Misguich
We present a quantum optimal control protocol to generate highly spin-squeezed states in Rydberg atom arrays coupled via Ising-type van der Waals interactions. Using gradient-based…