The randomized measurement toolbox

A Elben, ST Flammia, HY Huang, R Kueng… - Nature Reviews …, 2023 - nature.com
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Topological order from measurements and feed-forward on a trapped ion quantum computer

M Iqbal, N Tantivasadakarn, TM Gatterman… - Communications …, 2024 - nature.com
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …

Non-Abelian braiding of Fibonacci anyons with a superconducting processor

S Xu, ZZ Sun, K Wang, H Li, Z Zhu, H Dong, J Deng… - Nature Physics, 2024 - nature.com
Quantum many-body systems with a non-Abelian topological order can host anyonic
quasiparticles. It has been proposed that anyons could be used to encode and manipulate …

Recurrent neural network wave functions

M Hibat-Allah, M Ganahl, LE Hayward, RG Melko… - Physical Review …, 2020 - APS
A core technology that has emerged from the artificial intelligence revolution is the recurrent
neural network (RNN). Its unique sequence-based architecture provides a tractable …

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 …

Quasiparticle statistics and braiding from ground-state entanglement

Y Zhang, T Grover, A Turner, M Oshikawa… - Physical Review B …, 2012 - APS
Topologically ordered phases are gapped states, defined by the properties of excitations
when taken around one another. Here we demonstrate a method to extract the statistics and …

Nature of the Spin-Liquid Ground State of the Heisenberg Model on the Kagome Lattice

S Depenbrock, IP McCulloch, U Schollwöck - Physical review letters, 2012 - APS
We perform a density-matrix renormalization group (DMRG) study of the S= 1 2 Heisenberg
antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state …

Inversion-symmetric topological insulators

TL Hughes, E Prodan, BA Bernevig - Physical Review B—Condensed Matter …, 2011 - APS
We analyze translationally invariant insulators with inversion symmetry that fall outside the
current established classification of topological insulators. These insulators exhibit no edge …

Separability transitions in topological states induced by local decoherence

YH Chen, T Grover - Physical Review Letters, 2024 - APS
We study states with intrinsic topological order subjected to local decoherence from the
perspective of separability, ie, whether a decohered mixed state can be expressed as an …