轻子偏爱规范理论的量子编码框架
Quantum Encoding Framework for Leptophilic Gauge Theories
AI总结：
本文提出了一种量子编码框架，用于模拟轻子偏爱规范理论中的规范对称性和异常抵消，通过量子电路实现规范不变性，并展示了轻子偏爱规范玻色子介导的散射过程的模拟方法。
摘要：
我们提出了一种系统性的量子编码框架，用于标准模型的轻子偏爱扩展，该框架专门针对近期内和未来量子设备上的量子模拟应用。聚焦于无异常的U(1)'_ℓ规范理论，我们显示轻子电荷结构在量子位寄存器上具有自然且可扩展的表示，其中规范对称性和异常抵消条件直接在量子态层面得到实施。在此框架中，规范不变算子被映射到幺正量子电路，确保量子演化过程中规范对称性的保持。作为原理验证，我们构建了显式电路，用于编码由轻子偏爱规范玻色子Z'_ℓ介导的散射过程。我们的结果建立了超出标准模型规范理论与量子信息科学之间的可重用桥梁，为在新兴量子计算架构中模拟轻子偏爱规范部分提供了具体的途径。
英文摘要：
We present a systematic quantum encoding framework for leptophilic extensions of the Standard Model, tailored to quantum simulation applications on near term and future quantum devices. Focusing on anomaly free $U(1)'_{\ell}$ gauge theories, we show that the leptonic charge structure admits a natural and scalable representation on qubit registers, where gauge symmetries and anomaly cancellation conditions are enforced directly at the level of quantum states. Within this framework, gauge invariant operators are mapped to unitary quantum circuits, ensuring the preservation of gauge symmetry under quantum evolution. As a proof of principle, we construct explicit circuits that encode scattering processes mediated by a leptophilic gauge boson $Z'_{\ell}$. Our results establish a reusable bridge between beyond the Standard Model gauge theories and quantum information science, providing a concrete pathway for simulating leptophilic gauge sectors within emerging quantum computing architectures.
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