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arXiv 2312.05652quant-ph
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一劳永逸的门方案：为量子计算引入一套复杂但精简的指令集

One Gate Scheme to Rule Them All: Introducing a Complex Yet Reduced Instruction Set for Quantum Computing

Jianxin Chen, Dawei Ding, Weiyuan Gong, Cupjin Huang, Qi Ye

备注：
39 pages, 9 figures, Python code for verifying decomposition of 3-qubit gate into 11 2-qubit gates, v2 and v3 corrects typos in v1 and published version
发表信息：
Proceedings of the 29th ACM International Conference on Architectural Support for Programming Languages and Operating Systems, Volume 2, Pages 779-796, April 2024
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AI总结：

针对XX+YY耦合量子比特，提出覆盖SU(4)群的紧凑门方案，构建量子CRISC，在多应用中性能提升且免疫ZZ相干误差。

摘要：

量子指令集的设计与架构对量子计算机的性能至关重要。本文针对具有$XX+YY$耦合的量子比特，提出了一种门方案，该方案可直接高效地实现任意两比特门（至多差单比特门操作）。首先，该方案可高保真执行量子操作，并实现了最短的可能门时间。其次，由于该方案覆盖了两比特门的整个$\textbf{SU}(4)$群，我们可利用它在算法实现中获得最优的两比特门数量。这两大优势协同作用，催生了量子复杂精简指令集计算机（CRISC）。尽管该门方案结构紧凑，但它支持全面的量子操作阵列。这看似矛盾，但由于量子与经典计算机架构的根本差异，这是可以实现的。\n 利用我们的门方案，我们在多种应用中观察到了显著提升，包括通用$n$比特门综合、量子体积以及量子比特路由。此外，所提方案还能实现与常用CNOT门局域等价的门，其门时间为$\frac{π}{2g}$，其中$g$为两比特耦合强度。AshN方案还能完全免疫$ZZ$误差——这是横向耦合系统中的主要相干误差，因为实现门的控制参数可轻松调整以纳入$ZZ$项的影响。

英文摘要：

The design and architecture of a quantum instruction set are paramount to the performance of a quantum computer. This work introduces a gate scheme for qubits with $XX+YY$ coupling that directly and efficiently realizes any two-qubit gate up to single-qubit gates. First, this scheme enables high-fidelity execution of quantum operations and achieves minimum possible gate times. Second, since the scheme spans the entire $\textbf{SU}(4)$ group of two-qubit gates, we can use it to attain the optimal two-qubit gate count for algorithm implementation. These two advantages in synergy give rise to a quantum Complex yet Reduced Instruction Set Computer (CRISC). Though the gate scheme is compact, it supports a comprehensive array of quantum operations. This may seem paradoxical but is realizable due to the fundamental differences between quantum and classical computer architectures. Using our gate scheme, we observe marked improvements across various applications, including generic $n$-qubit gate synthesis, quantum volume, and qubit routing. Furthermore, the proposed scheme also realizes a gate locally equivalent to the commonly used CNOT gate with a gate time of $\fracπ{2g}$, where $g$ is the two-qubit coupling. The AshN scheme is also completely impervious to $ZZ$ error, the main coherent error in transversely coupled systems, as the control parameters implementing the gates can be easily adjusted to take the $ZZ$ term into account.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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