Implementation of non-local arbitrary two-qubit controlled gates via geometric quantum computation with Rydberg anti-blockade

Abstract:In the context of Rydberg anti-blockade, this paper proposes a new scheme for a high-fidelity controlled-unitary gate based on non-adiabatic holonomic quantum computation. Under specific detuning and interaction conditions, the scheme achieves a suitable evolution path for non-adiabatic holonomic quantum computation through reverse engineering of pulse parameters. This scheme can implement arbitrary two-qubit controlled gates with favorable robustness. We also evaluate the effects of spontaneous emission and laser intensity errors on the fidelity; numerical simulations show that the geometric gate scheme still exhibits excellent performance under these errors. Furthermore, we extend the scheme to non-local gates via entanglement transfer and quantum teleportation techniques, and demonstrate its application in the mutual conversion among four-qubit entangled states (GHZ, cluster, and W states). This finding indicates the potential applicability of our scheme to complex quantum information processing tasks.

15 pages, 7 figures; Comments are welcome!

Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas)

arXiv:2603.17656 [quant-ph]

(or arXiv:2603.17656v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2603.17656 Focus to learn more arXiv-issued DOI via DataCite

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