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 …

Topological quantum memory can protect information against local errors up to finite error
thresholds. Such thresholds are usually determined based on the success of decoding …

Quantum systems have entered a competitive regime in which classical computers must
make approximations to represent highly entangled quantum states,. However, in this …

We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …

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 …

We study states with intrinsic topological order subjected to local decoherence from the
perspective of separability, ie, whether a decohered mixed state can be expressed as an …

We propose entanglement negativity as a fine-grained probe of measurement-induced
criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions …