Open system quantum dynamics can generate a variety of long-range entangled mixed
states, yet it has been unclear in what sense they constitute phases of matter. To establish …

The classification and characterization of topological phases of matter is well understood for
ground states of gapped Hamiltonians that are well isolated from the environment. However …

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 …

We propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

We study quantum many-body mixed states with a symmetry from the perspective of
separability, ie, whether a mixed state can be expressed as an ensemble of short-range …

Entanglement in quantum many-body systems is typically fragile to interactions with the
environment. Generic unital quantum channels, for example, have the maximally mixed state …

We present a family of local quantum channels whose steady states exhibit stable mixed-
state symmetry-protected topological (SPT) order. Motivated by recent experimental …

We propose a tensor network approach known as the locally purified density operator
(LPDO) to investigate the classification and characterization of symmetry-protected …

We study the entanglement structure of topological orders subject to decoherence on the
bipartition boundary. Focusing on the toric codes in d space dimensions for d= 2, 3, 4, we …

The dynamical evolution of an open quantum system can be governed by the Lindblad
equation of the density matrix. In this paper, we propose to characterize the density matrix …