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在实现横向场伊辛模型的模拟器件中制备贝尔态

Preparation of a Bell state in an analogue device hosting the transverse-field Ising model

Ana Palacios

arXiv 2609.09013首次发表:更新:

发表机构

Qilimanjaro Quantum Tech; Universitat de Barcelona(奇力马尼霍量子科技; 巴塞罗那大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究提出一种在横向场伊辛模型模拟器件中仅通过直接控制哈密顿量项制备单重态贝尔态的协议,利用绝热插值和共振布居转移两步实现,在约100纳秒内达到与门基方案相当的保真度,并具鲁棒性。

AI 中文摘要

我们提出了一种协议,用于在实现具有ZZ相互作用以及局域X和Z场的横向场伊辛模型的模拟器件中制备单重态贝尔态,该模型可以在超导平台等多种平台上实现。该协议仅通过直接控制哈密顿量的各项来完成。该方法利用了单重态是对称哈密顿量族的第一激发态这一事实,包含两个步骤:首先通过绝热插值制备所述对称哈密顿量的基态,然后在其两个最低能级之间进行共振布居转移。对于实际参数,该协议在相似的时间尺度(约100纳秒)内可实现与标准基于门的制备相当的保真度,并且通过适度增加持续时间可以达到约10^{-4}量级的保真度损失。我们进一步分析了针对系统性控制误差的鲁棒性,并表明在实现不完善的情况下仍能保持高保真度。

英文摘要

We propose a protocol for preparing the singlet Bell state in an analogue device implementing the transverse-field Ising model with ZZ interactions and local X and Z fields, which can be engineered within the superconducting platform, among others. This protocol is performed by direct control of the terms of the Hamiltonian alone. The method exploits the fact that the singlet state is the first excited state of a symmetric Hamiltonian family, and comprises two steps: an adiabatic interpolation preparing the ground state of said symmetric Hamiltonian, followed by the resonant population transfer between its two lowest energy levels. For realistic parameters, the protocol achieves fidelities comparable to standard gate-based preparation within similar time scales ($\sim$100 ns), and can reach infidelities on the order of $10^{-4}$ with a moderately increased duration. We further analyse robustness against systematic control errors and show that high fidelities are maintained under implementation imperfections.

Comments9 pages, 7 figures

论文原文

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