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 …

Quantum spin liquid states

Y Zhou, K Kanoda, TK Ng - Reviews of Modern Physics, 2017 - APS
This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

-Dimensional Edge States of Rotation Symmetry Protected Topological States

Z Song, Z Fang, C Fang - Physical review letters, 2017 - APS
We study fourfold rotation-invariant gapped topological systems with time-reversal symmetry
in two and three dimensions (d= 2, 3). We show that in both cases nontrivial topology is …

Preparation of matrix product states with log-depth quantum circuits

D Malz, G Styliaris, ZY Wei, JI Cirac - Physical Review Letters, 2024 - APS
We consider the preparation of matrix product states (MPS) on quantum devices via
quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …

Colloquium: Zoo of quantum-topological phases of matter

XG Wen - Reviews of Modern Physics, 2017 - APS
What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

Representation theory for geometric quantum machine learning

M Ragone, P Braccia, QT Nguyen, L Schatzki… - arXiv preprint arXiv …, 2022 - arxiv.org
Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …

The role of quantum information in thermodynamics—a topical review

J Goold, M Huber, A Riera, L Del Rio… - Journal of Physics A …, 2016 - iopscience.iop.org
This topical review article gives an overview of the interplay between quantum information
theory and thermodynamics of quantum systems. We focus on several trending topics …

Quantum coherence and geometric quantum discord

ML Hu, X Hu, J Wang, Y Peng, YR Zhang, H Fan - Physics Reports, 2018 - Elsevier
Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

Topological quantum matter with cold atoms

DW Zhang, YQ Zhu, YX Zhao, H Yan… - Advances in Physics, 2018 - Taylor & Francis
This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …