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Simulating Collider Physics on Quantum Computers Using Effective Field Theories
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-11-18 , DOI: 10.1103/physrevlett.127.212001
Christian W Bauer 1 , Benjamin Nachman 1 , Marat Freytsis 2
Affiliation  

Simulating the full dynamics of a quantum field theory over a wide range of energies requires exceptionally large quantum computing resources. Yet for many observables in particle physics, perturbative techniques are sufficient to accurately model all but a constrained range of energies within the validity of the theory. We demonstrate that effective field theories (EFTs) provide an efficient mechanism to separate the high energy dynamics that is easily calculated by traditional perturbation theory from the dynamics at low energy and show how quantum algorithms can be used to simulate the dynamics of the low energy EFT from first principles. As an explicit example we calculate the expectation values of vacuum-to-vacuum and vacuum-to-one-particle transitions in the presence of a time-ordered product of two Wilson lines in scalar field theory, an object closely related to those arising in EFTs of the standard model of particle physics. Calculations are performed using simulations of a quantum computer as well as measurements using the IBMQ Manhattan machine.

中文翻译:

使用有效场理论在量子计算机上模拟对撞机物理

在广泛的能量范围内模拟量子场论的完整动力学需要非常大的量子计算资源。然而,对于粒子物理学中的许多可观测量,微扰技术足以准确地模拟除理论有效性内的受限能量范围之外的所有能量。我们证明了有效场理论 (EFT) 提供了一种有效的机制,可以将传统微扰理论容易计算的高能动力学与低能动力学分开,并展示如何使用量子算法来模拟低能 EFT 的动力学从第一原则。作为一个明确的例子,我们计算了在标量场理论中存在两条威尔逊线的时间有序积的情况下真空到真空和真空到一个粒子的跃迁的期望值,一个与粒子物理学标准模型的 EFT 中出现的对象密切相关的对象。使用量子计算机的模拟以及使用 IBMQ 曼哈顿机的测量来执行计算。
更新日期:2021-11-19
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