arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2602.02719hep-phquant-ph
收藏

正负电子对撞中费米子对的量子成像:纵向束极化效应

Quantum Tomography of Fermion Pairs in $e^+e^-$ Collisions: Longitudinal Beam Polarization Effects

Liaoning Normal University(辽宁师范大学);University of Pittsburgh(匹兹堡大学)

Yu-Chen Guo, Tao Han, Matthew Low, Youle Su

AI总结:

本文研究正负电子对撞中费米子对的量子成像,探讨纵向极化对纠缠、贝尔非局域性和魔法的影响,揭示其在高能物理中的应用潜力。

摘要:

我们展示了未来正负电子对撞机中费米子对产生过程的量子成像研究,强调纵向束极化如何控制两个量子比特的自旋密度矩阵。我们研究了e⁺e⁻→tt̄、e⁺e⁻→μ⁺μ⁻和Bhabha散射e⁺e⁻→e⁺e⁻等过程,分别代表质量阈值行为、Z极共振和s/t通道的相互作用。我们选择关注三个关键概念:通过纠缠度C量子纠缠,通过最优Clauser-Horne-Shimony-Holt(CHSH)参数B体现贝尔非局域性,以及通过第二稳定化Rényi熵M₂体现非稳定化性(“魔法”)。对于主导s通道的过程,纵向极化主要重塑单个自旋极化,而自旋关联矩阵基本不变,使C和B相对稳健,但引起M₂显著变化。相比之下,在Bhabha散射中,极化会改变s通道和t通道的相对贡献,并可能强烈影响所有三个可观测量。当包括统计和系统误差时,纠缠、贝尔非局域性和魔法的可观测性超过5σ水平,确立费米子对系统作为高能轻子碰撞中量子信息研究的理想实验室。通过优化束极化,未来正负电子对撞机将提供独特机会来实验探索和影响粒子相互作用中的量子资源。

英文摘要:

We present a quantum tomography study of fermion pair production at future $e^+e^-$ colliders, emphasizing how longitudinal beam polarization controls the two-qubit spin density matrix. We study the processes $e^+ e^- \to t\bar{t},\ e^+e^-\to μ^+μ^-$ and Bhabha scattering $e^+e^-\to e^+e^-$, representing the mass threshold behavior, the $Z$ pole resonance and the $s/t$-channel interplay. We choose to focus on three key concepts: quantum entanglement via the concurrence $\mathcal{C}$, Bell nonlocality via the optimal Clauser Horne Shimony Holt (CHSH) parameter $\mathcal{B}$, and non-stabilizerness (``magic'') via the second stabilizer Rényi entropy $\mathcal{M}_2$. For the $s$-channel-dominated channels, longitudinal polarization mainly reshapes single-spin polarizations while leaving the spin-correlation matrix largely unchanged, rendering $\mathcal{C}$ and $\mathcal{B}$ comparatively robust, but inducing a pronounced variation of $\mathcal{M}_2$. In contrast, in Bhabha scattering, polarization modifies the relative contributions of the $s$-channel and $t$-channel and can strongly affect all three observables. The observability of entanglement, Bell nonlocality, and magic exceeds the $5σ$ level when both statistical and systematic uncertainties are included, establishing the fermion pair systems as ideal laboratories for quantum-information studies in high energy leptonic collisions. With optimized beam polarization, future $e^+e^-$ colliders will provide a unique opportunity to experimentally explore and influence quantum resources in particle interactions.

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。

↑