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 …

Edge states in topological phase transitions have been observed in various platforms. To
date, verification of the edge states and the associated topological invariant are mostly …

Diagrammatic summation is a common bottleneck in modern applications of projected
entangled-pair states, especially in computing low-energy excitations of a two-dimensional …

The exploration of topologically-ordered states of matter is a long-standing goal at the
interface of several subfields of the physical sciences. Such states feature intriguing physical …

Topological phases of matter offer a promising platform for quantum computation and
quantum error correction. Nevertheless, unlike its counterpart in pure states, descriptions of …

Gapped fracton phases of matter generalize the concept of topological order and broaden
our fundamental understanding of entanglement in quantum many-body systems. However …

We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor
network. By evaluating the virtual order parameters defined on the virtual Hilbert space in …

A nonlocal string order parameter detecting topological phase transitions has been
proposed by Fredenhagen and Marcu (FM). In this work, we find that the FM string order …

Machine-learning-inspired techniques have emerged as a new paradigm for analysis of
phase transitions in quantum matter. In this work, we introduce a supervised learning …

The evolution of a quantum system subject to measurements can be described by stochastic
quantum trajectories of pure states. Instead, the ensemble average over trajectories is a …