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arXiv 2107.08656quant-phcond-mat.str-el
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制备长程拓扑有序态的反绝热途径

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

Sanjeev Kumar, Shekhar Sharma, Vikram Tripathi

摘要:

本文提出了一种利用磁场调节初始可分态的反绝热(CD)策略,用于快速制备长程拓扑有序态。具体而言,我们考虑蜂窝Kitaev模型的基态,其长程拓扑有序与任意子激发一起使其成为容错通用量子计算和存储的一个有趣的候选者。所需的CD扰动被发现是本地的,具有的非对角交换相互作用的形式让人想起三角变形Kitaev哈密顿量。我们表明,反热力学产生的态可以具有高保真度并保留许多所需的纠缠特性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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