Cluster state as a noninvertible symmetry-protected topological phase
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 …
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
Quantum entanglement in neural network states
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …
unprecedented perspective for solving intricate quantum many-body problems …
Machine learning topological states
Artificial neural networks and machine learning have now reached a new era after several
decades of improvement where applications are to explode in many fields of science …
decades of improvement where applications are to explode in many fields of science …
Topological quantum chains protected by dipolar and other modulated symmetries
We investigate the physics of one-dimensional symmetry-protected topological (SPT)
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …
Foliated fracton order from gauging subsystem symmetries
Based on several previous examples, we summarize explicitly the general procedure to
gauge models with subsystem symmetries, which are symmetries with generators that have …
gauge models with subsystem symmetries, which are symmetries with generators that have …
Efficiently preparing Schr\" odinger's cat, fractons and non-Abelian topological order in quantum devices
Long-range entangled quantum states--like cat states and topological order--are key for
quantum metrology and information purposes, but they cannot be prepared by any scalable …
quantum metrology and information purposes, but they cannot be prepared by any scalable …
Symmetry-protected topological phases from decorated domain walls
Symmetry-protected topological phases generalize the notion of topological insulators to
strongly interacting systems of bosons or fermions. A sophisticated group cohomology …
strongly interacting systems of bosons or fermions. A sophisticated group cohomology …
Characterization and verification of trotterized digital quantum simulation via hamiltonian and liouvillian learning
The goal of digital quantum simulation is to approximate the dynamics of a given target
Hamiltonian via a sequence of quantum gates, a procedure known as Trotterization. The …
Hamiltonian via a sequence of quantum gates, a procedure known as Trotterization. The …
Non-invertible symmetry-protected topological order in a group-based cluster state
Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …
systems, there are relatively few microscopic lattice models explicitly realizing these …
Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the
pursuit of exotic states of matter. We develop a strategy for accessing a family of …
pursuit of exotic states of matter. We develop a strategy for accessing a family of …