Practical quantum advantage in quantum simulation

AJ Daley, I Bloch, C Kokail, S Flannigan, N Pearson… - Nature, 2022 - nature.com
The development of quantum computing across several technologies and platforms has
reached the point of having an advantage over classical computers for an artificial problem …

Quantum trajectories and open many-body quantum systems

AJ Daley - Advances in Physics, 2014 - Taylor & Francis
The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

Solving the quantum many-body problem with artificial neural networks

G Carleo, M Troyer - Science, 2017 - science.org
The challenge posed by the many-body problem in quantum physics originates from the
difficulty of describing the nontrivial correlations encoded in the exponential complexity of …

Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices

Y Zhang, NFQ Yuan, L Fu - Physical Review B, 2020 - APS
Transition metal dichalcogenide (TMD) bilayers have recently emerged as a robust and
tunable moiré system for studying and designing correlated electron physics. In this Rapid …

Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms

S De Léséleuc, V Lienhard, P Scholl, D Barredo… - Science, 2019 - science.org
The concept of topological phases is a powerful framework for characterizing ground states
of quantum many-body systems that goes beyond the paradigm of symmetry breaking …

Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms

JPF LeBlanc, AE Antipov, F Becca, IW Bulik, GKL Chan… - Physical Review X, 2015 - APS
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

A literature survey of low‐rank tensor approximation techniques

L Grasedyck, D Kressner, C Tobler - GAMM‐Mitteilungen, 2013 - Wiley Online Library
During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …

QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems part I: spin chains

P Weinberg, M Bukov - SciPost Physics, 2017 - scipost.org
We present a new open-source Python package for exact diagonalization and quantum
dynamics of spin (-photon) chains, called QuSpin, supporting the use of various symmetries …

Deep autoregressive models for the efficient variational simulation of many-body quantum systems

O Sharir, Y Levine, N Wies, G Carleo, A Shashua - Physical review letters, 2020 - APS
Artificial neural networks were recently shown to be an efficient representation of highly
entangled many-body quantum states. In practical applications, neural-network states inherit …

QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins

P Weinberg, M Bukov - SciPost Physics, 2019 - scipost.org
We present a major update to QuSpin, SciPostPhys. 2.1. 003--an open-source Python
package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and …