Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

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 …

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 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 …

While the classification of noninteracting crystalline topological insulator phases by
equivariant K-theory has become widely accepted, its generalization to anyonic interacting …

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 …

We study the growth of entanglement between two adjacent regions in a tripartite, one-
dimensional many-body system after a quantum quench. Combining a replica trick with a …

Decoherence is a major obstacle to the preparation of topological order in noisy
intermediate-scale quantum devices. Here, we show that decoherence can also give rise to …

Recent studies have demonstrated that measures of tripartite entanglement can probe data
characterizing topologically ordered phases to which bipartite entanglement is insensitive …