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 …

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 …

Random quantum circuits

MPA Fisher, V Khemani, A Nahum… - Annual Review of …, 2023 - annualreviews.org
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Machine learning and the physical sciences

G Carleo, I Cirac, K Cranmer, L Daudet, M Schuld… - Reviews of Modern …, 2019 - APS
Machine learning (ML) encompasses a broad range of algorithms and modeling tools used
for a vast array of data processing tasks, which has entered most scientific disciplines in …

Quantum optimization of maximum independent set using Rydberg atom arrays

S Ebadi, A Keesling, M Cain, TT Wang, H Levine… - Science, 2022 - science.org
Realizing quantum speedup for practically relevant, computationally hard problems is a
central challenge in quantum information science. Using Rydberg atom arrays with up to …

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 …

Non-hermitian physics

Y Ashida, Z Gong, M Ueda - Advances in Physics, 2020 - Taylor & Francis
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

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 …

Quantum many-body scars and Hilbert space fragmentation: a review of exact results

S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Quantum spin liquids: a review

L Savary, L Balents - Reports on Progress in Physics, 2016 - iopscience.iop.org
Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …