Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

The ITensor software library for tensor network calculations

M Fishman, S White, EM Stoudenmire - SciPost Physics Codebases, 2022 - scipost.org
ITensor is a system for programming tensor network calculations with an interface modeled
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …

Tensor network algorithms: A route map

MC Bañuls - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …

Stable quantum-correlated many-body states through engineered dissipation

X Mi, AA Michailidis, S Shabani, KC Miao, PV Klimov… - Science, 2024 - science.org
Engineered dissipative reservoirs have the potential to steer many-body quantum systems
toward correlated steady states useful for quantum simulation of high-temperature …

OpenMolcas: From source code to insight

I Fdez. Galván, M Vacher, A Alavi… - Journal of chemical …, 2019 - ACS Publications
In this Article we describe the OpenMolcas environment and invite the computational
chemistry community to collaborate. The open-source project already includes a large …

Simulating lattice gauge theories within quantum technologies

MC Banuls, R Blatt, J Catani, A Celi, JI Cirac… - The European physical …, 2020 - Springer
Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

[HTML][HTML] Time-evolution methods for matrix-product states

S Paeckel, T Köhler, A Swoboda, SR Manmana… - Annals of Physics, 2019 - Elsevier
Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …