Dynamical topological quantum computation using spin pulse control in the Heisenberg model
arXiv:1406.7631 · doi:10.1038/srep10076
Abstract
Hamiltonian engineering is an important approach for quantum information processing, when appropriate materials do not exist in nature or are unstable. So far there is no stable material for the Kitaev spin Hamiltonian with anisotropic interactions on a honeycomb lattice (A. Kitaev, Annals of Physics vol 321, 2 (2006)), which plays a crucial role in the realization of both Abelian and non-Abelian anyons. Here, we show how to dynamically realize the Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using a pulse-control technique. By repeating the same pulse sequence, the quantum state is dynamically preserved. The effects of the spin-orbit interaction and the hyperfine interaction are also investigated.
5 pages, 5 figures
References in corpus (8)
- Surface codes: Towards practical large-scale quantum computation
- Driven coherent oscillations of a single electron spin in a quantum dot
- Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
- Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
- Spatially Resolving Valley Quantum Interference of a Donor in Silicon
- Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
- Practicality of spin chain 'wiring' in diamond quantum technologies