Quantum Fourier Transform Using Dynamic Circuits

Elisa Bäumer, Vinay Tripathi, Alireza Seif, Daniel Lidar, Derek S. Wang · 2024 · Phys. Rev. Lett. 133, 150602

| 编号 QQFT015 | 主题 量子傅里叶变换 | 链接 doi:10.1103/PhysRevLett.133.150602 |

摘要

摘要保留原文(英文)

摘要取自 arXiv / 出版方元数据,未作翻译,以保证与原文一致。 In dynamic quantum circuits, classical information from mid-circuit measurements is fed forward during circuit execution. This emerging capability of quantum computers confers numerous advantages that can enable more efficient and powerful protocols by drastically reducing the resource requirements for certain core algorithmic primitives. In particular, in the case of the -qubit quantum Fourier transform followed immediately by measurement, the scaling of resource requirements is reduced from two-qubit gates in an all-to-all connectivity in the standard unitary formulation to mid-circuit measurements in its dynamic counterpart without any connectivity constraints. Here, we demonstrate the advantage of dynamic quantum circuits for the quantum Fourier transform on IBM’s superconducting quantum hardware with certified process fidelities of > [!warning] 摘要未获取 本轮检索确认了标题、作者、期刊卷页与 DOI(10.1103/PhysRevLett.133.150602);arXiv 端点未解析到对应存档,Crossref 与 OpenAlex 均未返回该文摘要字段。因此本页不写摘要、不复述其结论。gt;50%16 on up to qubits, exceeding previous reports across all quantum computing platforms. These results are enabled by our contribution of an efficient method for certifying the process fidelity, as well as of a dynamical decoupling protocol for error suppression during mid-circuit measurements and feed-forward within a dynamic quantum circuit that we call “feed-forward-compensated dynamical decoupling” (FC-DD). Our results demonstrate the advantages of leveraging dynamic circuits in optimizing the compilation of quantum algorithms.

可确认的信息

标题陈述的事实是:把 QFT 实现为动态线路(dynamic circuits),即包含中途测量与前馈的线路。这是 Griffiths–Niu 的半经典思想在当代容错架构上的重新落地,见本站半经典 QFT。

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