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 …

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 …

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 …

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 …

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 …

[LIBRO][B] Berry phases in electronic structure theory: electric polarization, orbital magnetization and topological insulators

D Vanderbilt - 2018 - books.google.com
Over the past twenty-five years, mathematical concepts associated with geometric phases
have come to occupy a central place in our modern understanding of the physics of …

Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

Dynamical purification phase transition induced by quantum measurements

MJ Gullans, DA Huse - Physical Review X, 2020 - APS
Continuously monitoring the environment of a quantum many-body system reduces the
entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of …

Exploring entanglement and optimization within the hamiltonian variational ansatz

R Wiersema, C Zhou, Y de Sereville, JF Carrasquilla… - PRX quantum, 2020 - APS
Quantum variational algorithms are one of the most promising applications of near-term
quantum computers; however, recent studies have demonstrated that unless the variational …