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 …

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 …

Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward

N Tantivasadakarn, A Vishwanath, R Verresen - PRX Quantum, 2023 - APS
Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

Observation of fractional edge excitations in nanographene spin chains

S Mishra, G Catarina, F Wu, R Ortiz, D Jacob, K Eimre… - Nature, 2021 - nature.com
Fractionalization is a phenomenon in which strong interactions in a quantum system drive
the emergence of excitations with quantum numbers that are absent in the building blocks …

Long-range entanglement from measuring symmetry-protected topological phases

N Tantivasadakarn, R Thorngren, A Vishwanath… - Physical Review X, 2024 - APS
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

Average symmetry-protected topological phases

R Ma, C Wang - Physical Review X, 2023 - APS
Symmetry-protected topological (SPT) phases are many-body quantum states that are
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …

Exploring two-dimensional materials toward the next-generation circuits: from monomer design to assembly control

M Zeng, Y **ao, J Liu, K Yang, L Fu - Chemical reviews, 2018 - ACS Publications
Two-dimensional (2D) materials have attracted tremendous research interest since the
breakthrough of graphene. Their unique optical, electronic, and mechanical properties hold …

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 …

Digital quantum simulation of Floquet symmetry-protected topological phases

X Zhang, W Jiang, J Deng, K Wang, J Chen, P Zhang… - Nature, 2022 - nature.com
Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena
that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete …