We analyze surface codes, the topological quantum error-correcting codes introduced by
Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of …

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 …

An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

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 …

In the field of monitored quantum circuits, it has remained an open question whether finite-
time protocols for preparing long-range entangled states lead to phases of matter that are …

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 …

Measurements allow efficient preparation of interesting quantum many-body states with long-
range entanglement, conditioned on additional transformations based on measurement …

The concentration and distribution of quantum entanglement is an essential ingredient in
emerging quantum information technologies. Much theoretical and experimental effort has …

We study the±J random-plaquette Z2 gauge model (RPGM) in three spatial dimensions, a
three-dimensional analog of the two-dimensional±J random-bond Ising model (RBIM). The …