Processing and Decoding Rydberg Leakage Error with MBQC

• URL: http://arxiv.org/abs/2411.04664v3
• Date: Tue, 18 Feb 2025 07:14:04 GMT
• Title: Processing and Decoding Rydberg Leakage Error with MBQC
• Authors: Cheng-Cheng Yu, Zi-Han Chen, Yu-Hao Deng, Ming-Cheng Chen, Chao-Yang Lu, Jian-Wei Pan,
• Abstract summary: We present a novel approach to manage Rydberg leakage errors in measurement-based quantum computation. We leverage the inherent structure of topological cluster states and final leakage detection information to locate propagated errors from Rydberg leakage.
• Score: 5.154331853803125
• License:
• Abstract: Neutral atom array has emerged as a promising platform for quantum computation due to its high-fidelity two-qubit gate, arbitrary connectivity and remarkable scalability. However, achieving fault-tolerant quantum computing with neutral atom necessitates careful consideration of the errors inherent to these systems. One typical error is the leakage from Rydberg states during the implementation of multi-qubit gates, which induces two-qubit error chain and degrades the error distance. To address this, researchers have proposed an erasure conversion protocol that employs fast leakage detection and continuous atomic replacement to convert leakage errors into benign erasure errors. While this method achieves a favorable error distance de = d, its applicability is restricted to certain atom species. In this work, we present a novel approach to manage Rydberg leakage errors in measurement-based quantum computation (MBQC). From a hardware perspective, we utilize practical experimental techniques along with an adaptation of the Pauli twirling approximation (PTA) to mitigate the impacts of leakage errors, which propagate similarly to Pauli errors without degrading the error distance. From a decoding perspective, we leverage the inherent structure of topological cluster states and final leakage detection information to locate propagated errors from Rydberg leakage. This approach eliminates the need for mid-circuit leakage detection, while maintaining an error distance de = d and achieving a high threshold of 3.4% per CZ gate for pure leakage errors under perfect final leakage detection. Furthermore, in the presence of additional Pauli errors, our protocol demonstrates comparable logical error rates to the erasure conversion method within a reasonable range of physical errors.

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