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 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 …

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 …

Cluster state as a noninvertible symmetry-protected topological phase

S Seifnashri, SH Shao - Physical Review Letters, 2024 - APS
We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …

Quantum simulation of fundamental particles and forces

CW Bauer, Z Davoudi, N Klco, MJ Savage - Nature Reviews Physics, 2023 - nature.com
Key static and dynamic properties of matter—from creation in the Big Bang to evolution into
subatomic and astrophysical environments—arise from the underlying fundamental …

Quantum computing 40 years later

J Preskill - Feynman Lectures on Computation, 2023 - taylorfrancis.com
This chapter sketches the foundations of the subject, discussing salient features of quantum
information, formulates a mathematical model of quantum computation and highlights some …

Harnessing the power of the second quantum revolution

IH Deutsch - PRX Quantum, 2020 - APS
The second quantum revolution has been built on a foundation of fundamental research at
the intersection of physics and information science, giving rise to the discipline we now call …

Spontaneous strong symmetry breaking in open systems: Purification perspective

P Sala, S Gopalakrishnan, M Oshikawa, Y You - Physical Review B, 2024 - APS
We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …

Measurement-induced topological entanglement transitions in symmetric random quantum circuits

A Lavasani, Y Alavirad, M Barkeshli - Nature Physics, 2021 - nature.com
Random quantum circuits, in which an array of qubits is subjected to a series of randomly
chosen unitary operations, have provided key insights into the dynamics of many-body …

Quantum-enhanced measurements without entanglement

D Braun, G Adesso, F Benatti, R Floreanini… - Reviews of Modern …, 2018 - APS
Quantum-enhanced measurements exploit quantum mechanical effects for increasing the
sensitivity of measurements of certain physical parameters and have great potential for both …