通过量子傅立叶分析测试稳定器和魔术熵

IF 2.6 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-09-01 DOI:10.1007/s00220-025-05421-3

Kaifeng Bu, Weichen Gu, Arthur Jaffe

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引用次数: 0

摘要

量子傅立叶分析是数学物理中的一个重要课题。我们介绍了一种系统的协议，用于测试和测量量子态和门中的“魔法”，使用量子傅立叶方法。魔术作为一种量子资源，是实现量子计算优势所必需的。我们的协议基于量子卷积和交换测试，通过量子电路实现。我们对量子位和量子位系统都进行了描述。我们的量子傅立叶方法提供了一种统一的方法来量化稳定电路，以及匹配门和玻色子高斯电路中的魔力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Stabilizer Testing and Magic Entropy via Quantum Fourier Analysis

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Stabilizer Testing and Magic Entropy via Quantum Fourier Analysis

Quantum Fourier analysis is an important topic in mathematical physics. We introduce a systematic protocol for testing and measuring “magic” in quantum states and gates, using a quantum Fourier approach. Magic, as a quantum resource, is necessary to achieve a quantum advantage in computation. Our protocols are based on quantum convolutions and swap tests, implemented via quantum circuits. We describe this for both qubit and qudit systems. Our quantum Fourier approach offers a unified method to quantify magic, in stabilizer circuits, as well as in matchgate and bosonic Gaussian circuits.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.