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

TL;DR

This paper presents a high-fidelity non-local two-qubit controlled gate scheme using non-adiabatic holonomic quantum computation in Rydberg anti-blockade, demonstrating robustness against errors and potential for complex quantum information processing.

Contribution

It introduces a novel geometric quantum gate scheme based on Rydberg anti-blockade with high fidelity and error resilience, extending to non-local gates for advanced quantum tasks.

Findings

High-fidelity geometric controlled-unitary gates achieved

Robustness against spontaneous radiation and laser errors demonstrated

Extension to non-local gates for complex quantum states explored

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. Numerical simulations show that the geometric gate maintains high fidelity even in the presence of spontaneous radiation and laser intensity errors. Finally,we extend our designed quantum gates to non-local gates and investigate their use in converting four-qubit entangled states. This finding indicates the potential applicability of our scheme to complex quantum information processing tasks.