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

• URL: http://arxiv.org/abs/2107.08656v1
• Date: Mon, 19 Jul 2021 07:34:16 GMT
• Title: Counterdiabatic route for preparation of state with long-range topological order
• Authors: Sanjeev Kumar, Shekhar Sharma, and Vikram Tripathi
• Abstract summary: We propose a 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.
• Score: 1.6727186769396276
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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