Rydberg atom parity gate based on dark state resonances

TL;DR

This paper introduces a Rydberg atom parity gate based on dark state resonances, offering a robust and efficient alternative to traditional two-qubit gates for quantum computation and simulation.

Contribution

It presents a novel Rydberg atom parity gate design using dark state resonances, optimized for high fidelity and robustness against blockade errors in quantum computing.

Findings

The proposed RPG is highly robust against Rydberg blockade errors.

Simulation shows RPG reduces circuit noise compared to CNOT gates.

Demonstrated improved performance in Deutsch-Jozsa algorithm and Ising model simulations.

Abstract

Quantum computation (QC) and digital quantum simulation (DQS) essentially require two- or multi-qubit controlled-NOT or -phase gates. We propose an alternative pathway for QC and DQS using a three-qubit parity gate in a Rydberg atom array. The basic principle of the Rydberg atom parity gate (RPG) is that the operation on the target qubit is controlled by the parity of the control qubits. First, we discuss how to construct an RPG based on a dark state resonance. We optimize the gate parameters by numerically analyzing the time evolution of the computational basis states to maximize the gate fidelity. We also show that our proposed RPG is extremely robust against the Rydberg blockade error. To demonstrate the efficiency of the proposed RPG over the conventional CNOT or CZ gate in QC and DQS, we implement the Deutsch-Jozsa algorithm and simulate the Ising Hamiltonian. The results show that RPG can be a better substitute of the CNOT gate to yield better results, as it decreases the circuit noise by reducing circuit depth.