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arXiv · 2102.00603

Realizing nonadiabatic holonomic quantum computation beyond the three-level setting

G. F. Xu·P. Z. Zhao·Erik Sjöqvist·D. M. Tong
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Abstract

Nonadiabatic holonomic quantum computation (NHQC) provides a method to implement error resilient gates and that has attracted considerable attention recently. Since it was proposed, three-level {\Lambda} systems have become the typical building block for NHQC and a number of NHQC schemes have been developed based on such systems. In this paper, we investigate the realization of NHQC beyond the standard three-level setting. The central idea of our proposal is to improve NHQC by enlarging the Hilbert space of the building block system and letting it have a bipartite graph structure in order to ensure purely holonomic evolution. Our proposal not only improves conventional qubit-based NHQC by efficiently reducing its duration, but also provides implementations of qudit-based NHQC. Therefore, our proposal provides a further development of NHQC that can contribute significantly to the physical realization of efficient quantum information processors.

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G. F. Xu, P. Z. Zhao, Erik Sjöqvist, D. M. Tong. 2021-02-01. Realizing nonadiabatic holonomic quantum computation beyond the three-level setting. https://doi.org/10.1103/physreva.103.052605

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