The construction of a quantum computer remains a fundamental scientific and technological
challenge because of the influence of unavoidable noise. Quantum states and operations …

As an unconventional realization of topological orders with an exotic interplay of topology
and geometry, fracton (topological) orders feature subextensive topological ground-state …

The quantum robustness of fracton phases is investigated by studying the influence of
quantum fluctuations on the X-Cube model and Haah's code, which realize a type-I and type …

Using the infinite projected entangled pair states algorithm, we study the ground-state
properties of the spin-1/2 quantum Heisenberg antiferromagnet on the star lattice in the …

A quantum Ising model in a transverse field is of the simplest quantum many-body systems
used for studying universal properties of quantum phase transitions. Interestingly, it is well …

The infinite projected entangled-pair state (iPEPS) algorithm is one of the most efficient
techniques for studying the ground-state properties of two-dimensional quantum lattice …

We demonstrate that two toric code layers on the square lattice coupled by an Ising
interaction display two distinct phases with intrinsic topological order. The second-order …

Topological quantum error correcting codes have emerged as leading candidates towards
the goal of achieving large-scale fault-tolerant quantum computers. However, quantifying …

We study the 3D Kitaev and Kitaev-Heisenberg models, respectively, on the
hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the …

We propose a hypergraph expansion which facilitates the direct treatment of quantum spin
models with many-site interactions via perturbative linked cluster expansions. The main idea …