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arXiv 2402.00840quant-phhep-lathep-phnucl-th
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规范理论中强子的散射波包:在量子计算机上的制备

Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer

Zohreh Davoudi, Chung-Chun Hsieh, Saurabh V. Kadam

AI总结:

本文提出在相互作用理论中直接构建波包创建算符以规避绝热演化,利用变分量子本征求解器等方案高效制备强子波包,并在1+1维格点规范理论和离子阱量子计算机上验证了高保真度,为量子色动力学散射模拟奠定基础。

摘要:

量子模拟有望实现对根植于标准模型规范理论中的高能散射过程的完整描述。此类模拟的第一步是制备相互作用的强子波包。为了创建波包,人们通常借助于绝热演化来连接自由理论中的波包与相互作用理论中的波包,这使得模拟资源消耗巨大。在本工作中,我们在相互作用理论中直接构建了一个波包创建算符以规避绝热演化,利用了诸如变分量子本征求解器等资源高效的基态制备方案。通过为禁闭规范理论中的束缚介子激发提出一个拟设,并随后使用经典或量子方法对其进行优化,我们展示了使用我们开发的数字量子算法可以高效且准确地创建相互作用的介子波包。具体而言,我们在耦合于1+1维费米子物质的$Z_2$和$U(1)$格点规范理论中获得了高保真度的介子波包。我们的方法适用于微扰和非微扰耦合区域。针对$Z_2$格点规范理论情况的波包创建电路被构建并在Quantinuum H1-1离子阱量子计算机上实现,使用了13个量子比特和多达308个纠缠门。在采用简单的基于对称性的噪声缓解技术后,其保真度与经典基准计算结果高度吻合。这项工作作为朝着量子色动力学中量子计算散射过程迈出的一步。

英文摘要:

Quantum simulation holds promise of enabling a complete description of high-energy scattering processes rooted in gauge theories of the Standard Model. A first step in such simulations is preparation of interacting hadronic wave packets. To create the wave packets, one typically resorts to adiabatic evolution to bridge between wave packets in the free theory and those in the interacting theory, rendering the simulation resource intensive. In this work, we construct a wave-packet creation operator directly in the interacting theory to circumvent adiabatic evolution, taking advantage of resource-efficient schemes for ground-state preparation, such as variational quantum eigensolvers. By means of an ansatz for bound mesonic excitations in confining gauge theories, which is subsequently optimized using classical or quantum methods, we show that interacting mesonic wave packets can be created efficiently and accurately using digital quantum algorithms that we develop. Specifically, we obtain high-fidelity mesonic wave packets in the $Z_2$ and $U(1)$ lattice gauge theories coupled to fermionic matter in 1+1 dimensions. Our method is applicable to both perturbative and non-perturbative regimes of couplings. The wave-packet creation circuit for the case of the $Z_2$ lattice gauge theory is built and implemented on the Quantinuum H1-1 trapped-ion quantum computer using 13 qubits and up to 308 entangling gates. The fidelities agree well with classical benchmark calculations after employing a simple symmetry-based noise-mitigation technique. This work serves as a step toward quantum computing scattering processes in quantum chromodynamics.

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。

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