The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …

We construct a Pauli stabilizer model for every two-dimensional Abelian topological order
that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four …

We provide a description of virtual non-local matrix product operator (MPO) symmetries in
projected entangled pair state (PEPS) representations of string-net models. Given such a …

Quantum phases of matter are resources for notions of quantum computation. In this work,
we establish a new link between concepts of quantum information theory and condensed …

We define and classify symmetry-protected topological (SPT) phases in mixed states based
on the tensor network formulation of the density matrix. In one dimension, we introduce …

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 …

The interplay of symmetry and topology in quantum many-body mixed states has recently
garnered significant interest. In a phenomenon not seen in pure states, mixed states can …

In this paper, we present the construction of tensor network states (TNS) for some of the
degenerate ground states of three-dimensional (3D) stabilizer codes. We then use the TNS …

Trimers are defined as two adjacent edges on a graph. We study the quantum states
obtained as equal-weight superpositions of all trimer coverings of a lattice, with the …