Counterdiabatic route for preparation of state with long-range topological order

TL;DR

This paper introduces a counterdiabatic approach to rapidly prepare states with long-range topological order in the Kitaev model, enabling high-fidelity state preparation suitable for quantum computing.

Contribution

It presents a local counterdiabatic perturbation method for fast, high-fidelity preparation of topologically ordered states in the Kitaev model, advancing quantum state engineering.

Findings

Counterdiabatic perturbation is local and resembles trigonal deformations.

High fidelity of the prepared topological state.

Retains desired entanglement properties.

Abstract

We propose here a counterdiabatic (CD) strategy for fast preparation of a state with long-range topological order by magnetic field tuning of an initial separable state. For concreteness, we consider the ground state of the honeycomb Kitaev model whose long-range topological order together with the anyonic excitations make it an interesting candidate for fault-tolerant universal quantum computation and storage. The required CD perturbation is found to be local, having the form of the off-diagonal exchange interactions reminiscent of trigonal deformations in Kitaev Hamiltonians. We show that the counterdiabatically produced state can have high fidelity and retain numerous desired entanglement properties.