Prediction of toric code topological order from Rydberg blockade
R Verresen, MD Lukin, A Vishwanath - Physical Review X, 2021 - APS
The physical realization of Z 2 topological order as encountered in the paradigmatic toric
code has proven to be an elusive goal. We predict that this phase of matter can be realized …
code has proven to be an elusive goal. We predict that this phase of matter can be realized …
Classification of subsystem symmetry-protected topological phases
We consider symmetry-protected topological (SPT) phases in two dimensions protected by
linear subsystem symmetries, ie, those that act along rigid lines. There is a distinction …
linear subsystem symmetries, ie, those that act along rigid lines. There is a distinction …
[HTML][HTML] Ground state degeneracy on torus in a family of ZN toric code
Topologically ordered phases in 2+ 1 dimensions are generally characterized by three
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
Clustering of conditional mutual information for quantum Gibbs states above a threshold temperature
T Kuwahara, K Kato, FGSL Brandão - Physical review letters, 2020 - APS
We prove that the quantum Gibbs states of spin systems above a certain threshold
temperature are approximate quantum Markov networks, meaning that the conditional …
temperature are approximate quantum Markov networks, meaning that the conditional …
Characterization and classification of interacting ()-dimensional topological crystalline insulators with orientation-preserving wallpaper groups
While free fermion topological crystalline insulators have been largely classified, the
analogous problem in the strongly interacting case has been only partially solved, and the …
analogous problem in the strongly interacting case has been only partially solved, and the …
Spurious topological entanglement entropy from subsystem symmetries
We demonstrate that linear combinations of subregion entropies with canceling boundary
terms, commonly used to calculate the topological entanglement entropy, may suffer from …
terms, commonly used to calculate the topological entanglement entropy, may suffer from …
Universal lower bound on topological entanglement entropy
Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an
area law, with a constant correction term known as the topological entanglement entropy …
area law, with a constant correction term known as the topological entanglement entropy …
Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
We classify subsystem symmetry-protected topological (SSPT) phases in 3+ 1 dimensions
(3+ 1 D) protected by planar subsystem symmetries: short-range entangled phases which …
(3+ 1 D) protected by planar subsystem symmetries: short-range entangled phases which …
Topological entanglement entropy of fracton stabilizer codes
Entanglement entropy provides a powerful characterization of two-dimensional gapped
topological phases of quantum matter, intimately tied to their description by topological …
topological phases of quantum matter, intimately tied to their description by topological …
Deciphering the nonlocal entanglement entropy of fracton topological orders
The ground states of topological orders condense extended objects and support topological
excitations. This nontrivial property leads to nonzero topological entanglement entropy S …
excitations. This nontrivial property leads to nonzero topological entanglement entropy S …