Kitaev.jl is a high-performance tensor network framework for simulating the Kitaev honeycomb model and its generalizations. Built on top of ITensors.jl, this package enables scalable and accurate studies of strongly correlated quantum spin systems, with a focus on topological order and non-Abelian anyons.

• Efficient mapping of honeycomb cylinders to one-dimensional chains, leveraging matrix product state (MPS) representations
• Supports simulation of spin vacancies and flux-bound non-Abelian anyons in extended Kitaev-type Hamiltonians, incorporating anisotropic couplings, Heisenberg exchange, off-diagonal gamma interactions, and an external magnetic field
• Enables simulation of mobile hole dynamics in extended Kitaev-type Hamiltonians, incorporating Kitaev exchange, three-spin interactions, using tJ-type sites
• Implementation of tailored perturbations and non-local pinning fields to control topological flux sectors and accelerate convergence in symmetry-broken regimes

Kitaev.jl is actively evolving, with planned extensions including real-time and imaginary-time evolution, projected entangled pair state (PEPS) support—targeting applications such as the J₁–J₂ Heisenberg model on the triangular lattice and Abelian quantum spin liquids—and integration with quantum circuit emulation frameworks for benchmarking topological qubit architectures.

To install the package, use the Julia package manager:

using Pkg
Pkg.add("Kitaev")

For more information and detailed usage examples, please refer to the documentation (coming soon).