Kreshchuk Michael, Jia Shaoyang, Kirby William M, Goldstein Gary, Vary James P, Love Peter J
Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA.
Department of Physics and Astronomy, Iowa State University, Ames, IA 50011, USA.
Entropy (Basel). 2021 May 12;23(5):597. doi: 10.3390/e23050597.
We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to quantum field theory has been used to enable simulation of a real physical system on a quantum computer.
我们提出了一种用于在光前形式下模拟量子场论的量子算法，并展示了如何利用现有的量子设备来研究相对论核物理中束缚态的结构。具体而言，我们应用变分量子本征求解器算法来寻找在基光前量子化（BLFQ）框架内得到的光前哈密顿量的基态。量子场论的BLFQ形式使得人们能够轻松引入为量子化学的数字量子模拟而开发的技术。这提供了一种可以扩展到在量子优势领域模拟完整的相对论量子场论的方法。作为一个例证，我们在IBM Vigo芯片上计算了π介子的质量、质量半径、衰变常数、电磁形状因子和电荷半径。这是首次将量子场论的光前方法用于在量子计算机上模拟一个真实的物理系统。
