Scalable Constant-Time Logical Gates for Large-Scale Quantum Computation Using Window-Based Correlated Decoding

• URL: http://arxiv.org/abs/2410.16963v2
• Date: Thu, 02 Jan 2025 09:04:06 GMT
• Title: Scalable Constant-Time Logical Gates for Large-Scale Quantum Computation Using Window-Based Correlated Decoding
• Authors: Jiaxuan Zhang, Zhao-Yun Chen, Jia-Ning Li, Tian-Hao Wei, Huan-Yu Liu, Xi-Ning Zhuang, Qing-Song Li, Yu-Chun Wu, Guo-Ping Guo,
• Abstract summary: A crucial challenge of fault-tolerant quantum computing is reducing the overhead of implementing logical gates. We propose an architecture that employs delayed fixup circuits and window-based correlated decoding. This design significantly reduces both the frequency and duration of decoding, while maintaining support for constant-time and universal logical gates.
• Score: 11.657137510701165
• License:
• Abstract: Large-scale quantum computation requires to be performed in the fault-tolerant manner. One crucial challenge of fault-tolerant quantum computing (FTQC) is reducing the overhead of implementing logical gates. Recently work proposed correlated decoding and ``algorithmic fault tolerance" to achieve constant-time logical gates that enables universal quantum computation. However, for circuits involving mid-circuit measurements and feedback, the previous scheme for constant-time logical gates is incompatible with window-based decoding, which is a scalable approach for handling large-scale circuits. In this work, we propose an architecture that employs delayed fixup circuits and window-based correlated decoding, realizing scalable constant-time logical gates. This design significantly reduces both the frequency and duration of decoding, while maintaining support for constant-time and universal logical gates across a broad class of quantum codes. More importantly, by spatial parallelism of windows, this architecture well adapts to time-optimal FTQC, making it particularly useful for large-scale quantum computation. Using Shor's algorithm as an example, we explore the application of our architecture and reveals the promising potential of using constant-time logical gates to perform large-scale quantum computation with acceptable overhead on physical systems like ion traps.

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