Compass models are theories of matter in which the couplings between the internal spin (or
other relevant field) components are inherently spatially (typically, direction) dependent. A …

An algebraic theory of dualities is developed based on the notion of bond algebras. It deals
with classical and quantum dualities in a unified fashion explaining the precise connection …

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 …

Measurements allow efficient preparation of interesting quantum many-body states with long-
range entanglement, conditioned on additional transformations based on measurement …

In this work, we introduce a new type of topological order that is protected by subsystem
symmetries that act on lower-dimensional subsets of lattice many-body system, eg, along …

We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

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 …

It has recently been discovered that random quantum circuits provide an avenue to realize
rich entanglement phase diagrams, which are hidden to standard expectation values of …

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 …

We present a unifying framework to study physical systems which exhibit topological
quantum order (TQO). The major guiding principle behind our approach is that of …