Analysis of heralded higher-fidelity two-qubit entangling gates with self-correction

TL;DR

This paper introduces a heralded, self-corrected Rydberg blockade Controlled-PHASE gate that significantly improves two-qubit gate fidelity in neutral atom quantum computing, addressing experimental imperfections and error mitigation.

Contribution

It proposes a novel heralded gate design with self-correction and symmetry-based error mitigation, enhancing fidelity beyond previous methods.

Findings

Gate error can be reduced to 10^{-4}–10^{-6}

Performance analyzed under typical imperfections

Potential for high-fidelity quantum logic operations

Abstract

For the quantum error correction (QEC) and noisy intermediate-scale quantum (NISQ) algorithms to function with high efficiency, the raw fidelity of quantum logic gates on physical qubits needs to satisfy strict requirement. The neutral atom quantum computing equipped with Rydberg blockade gates has made impressive progress recently, which makes it worthwhile to explore its potential in the two-qubit entangling gates, including Controlled-PHASE gate and in particular the CZ gate. Provided the quantum coherence is well preserved, improving the fidelity of Rydberg blockade gates calls for special mechanisms to deal with adverse effects caused by realistic experimental conditions. Here the heralded very-high-fidelity Rydberg blockade Controlled-PHASE gate is designed to address these issues, which contains self-correction and projection as the key steps. This trailblazing method can be built on the basis of the previously established buffer-atom-mediated gate, and a special form of symmetry under PT transformation plays a crucial role in the process. We further analyze the performance with respect to a few typical sources of imperfections. This procedure can also be regarded as quantum hardware error correction or mitigation. While this paper by itself does not cover every single subtle issue and still contains many over-simplifications, we find it reasonable to anticipate very-high-fidelity two-qubit quantum logic gate operated in the sense of heralded but probabilistic, whose gate error can reduce to the level of $10^{-4}$--$10^{-6}$ or even lower with reasonably high possibilities.