Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
arXiv:2205.10114 · doi:10.1103/PhysRevA.106.062401
Abstract
The Kitaev honeycomb model is a system allowing for experimentally realisable quantum computation with topological protection of quantum information. Practical implementation of quantum information processing typically relies on adiabatic, i.e. slow dynamics. Here we show that the restriction to adiabatic dynamics can be overcome with optimal control theory, enabled by an extension of the fermionization of the Kitaev honeycomb model to the time-dependent case. Moreover we present a quantum control method that is applicable to large lattice models due to sub-exponential scaling.
12 pages, 10 figures
References in corpus (12)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Topological characterization of quantum phase transitions in a S=1/2 spin model
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Why should anyone care about computing with anyons?
- A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
- Fermion Sampling: a robust quantum computational advantage scheme using fermionic linear optics and magic input states
- Computing the distance between quantum channels: Usefulness of the Fano representation
- Topology and localization of a periodically driven Kitaev model
- Cross-dimensional universality classes in static and periodically driven Kitaev models
- Quantum Distance to Uncontrollability and Quantum Speed Limits
- The Kitaev honeycomb model on surfaces of genus