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

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.

8 pages, 5 figures

References in corpus (5)

• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Adiabatic Preparation of Topological Order
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Topology and localization of a periodically driven Kitaev model
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence

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• Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra
• SPT extension of $Z_2$ quantum Ising model's ferromagnetic phase
• Robustness of a state with Ising topological order against local projective measurements