A topological phase can undergo a phase transition driven by anyon condensation. A
potential obstruction to such a mechanism could arise if there exists a symmetry between …

Topologically ordered phases are stable to local perturbations, and topological quantum
error-correcting codes enjoy thresholds to local errors. We connect the two notions of …

Although condensed matter systems usually do not have higher-form symmetries, we show
that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at …

Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

After decades of progress and effort, obtaining a phase diagram for a strongly correlated
topological system still remains a challenge. Although in principle one could turn to Wilson …

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to
obtain the Rényi entanglement entropy of various quantum many-body systems with high …

We explore the relationship between higher-form symmetries and entanglement properties
in lattice gauge theories with discrete gauge groups, which can exhibit both topologically …

By analogy with the Landau-Ginzburg theory of ordinary zero-form symmetries, we introduce
and develop a Landau-Ginzburg theory of one-form global symmetries, which we call mean …

Gauge symmetries play a key role in physics appearing in areas such as quantum field
theories of the fundamental particles and emergent degrees of freedom in quantum …

We present an operational procedure to transform global symmetries into local symmetries
at the level of individual quantum states, as opposed to typical gauging prescriptions for …