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arXiv 2002.04016quant-phhep-th
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量子场论在波前表述下的量子模拟

Quantum Simulation of Quantum Field Theory in the Light-Front Formulation

Michael Kreshchuk, William M. Kirby, Gary Goldstein, Hugo Beauchemin, Peter J. Love

摘要:

量子色动力学(QCD)在基本水平上描述了强子(如质子)的结构。QCD的计算精度限制了从对撞机数据中提取的许多物理参数值的精度。例如,部分子分布函数(PDF)的不确定性是大型强子对撞机$W$质量测量误差的主要来源。提高这种测量的精度对于寻找新的物理学是至关重要的。量子模拟为非微扰地研究诸如QCD等量子场论提供了一种有效的方法。以前用于模拟QFT的量子算法对量子比特的要求远远超出了大规模量子计算机最雄心勃勃的实验方案。这种算法的量子比特要求是否可以纳入几千个逻辑量子比特的量子计算范围?我们展示了如何通过使用量子场论的光阵面公式来实现这一点。这项工作的灵感来自于光阵面公式与量子化学的相似性,首先由Kenneth Wilson指出。

英文摘要:

Quantum chromodynamics (QCD) describes the structure of hadrons such as the proton at a fundamental level. The precision of calculations in QCD limits the precision of the values of many physical parameters extracted from collider data. For example, uncertainty in the parton distribution function (PDF) is the dominant source of error in the $W$ mass measurement at the LHC. Improving the precision of such measurements is essential in the search for new physics. Quantum simulation offers an efficient way of studying quantum field theories (QFTs) such as QCD non-perturbatively. Previous quantum algorithms for simulating QFTs have qubit requirements that are well beyond the most ambitious experimental proposals for large-scale quantum computers. Can the qubit requirements for such algorithms be brought into range of quantum computation with several thousand logical qubits? We show how this can be achieved by using the light-front formulation of quantum field theory. This work was inspired by the similarity of the light-front formulation to quantum chemistry, first noted by Kenneth Wilson.

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