Deeply inelastic scattering structure functions on a hybrid quantum computer
Deeply inelastic scattering structure functions on a hybrid quantum computer
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DOI：
10.1103/physrevd.102.016007
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发表时间：
2019-08
影响因子：
5
通讯作者：
N. Mueller;A. Tarasov;R. Venugopalan
中科院分区：
文献类型：
--
作者：
N. Mueller;A. Tarasov;R. Venugopalan
我们概述了一种策略，使用混合量子计算机计算深度非弹性散射结构函数。我们的方法利用了量子色动力学路径积分中费米子行列式的表示作为0+1维费米子和玻色子世界线上的量子力学路径积分。这些世界线的正确时间演化可以在量子计算机上确定。虽然在一般情况下非常具有挑战性，但问题在QCD的Regge极限中得到简化，其中世界线与规范场的相互作用在适当的时间内强烈局域化，并且可以写下相应的量子电路。作为第一个应用，我们利用彩色玻璃凝聚体有效理论构造了一个简单偶极模型的F_2结构函数的量子算法。我们进一步概述了这种计算的复杂性和扩展范围，以其他实时相关功能。
We outline a strategy to compute deeply inelastic scattering structure functions using a hybrid quantum computer. Our approach takes advantage of the representation of the fermion determinant in the QCD path integral as a quantum mechanical path integral over 0+1-dimensional fermionic and bosonic worldlines. The proper time evolution of these worldlines can be determined on a quantum computer. While extremely challenging in general, the problem simplifies in the Regge limit of QCD, where the interaction of the worldlines with gauge fields is strongly localized in proper time and the corresponding quantum circuits can be written down. As a first application, we employ the Color Glass Condensate effective theory to construct the quantum algorithm for a simple dipole model of the $F_2$ structure function. We outline further how this computation scales up in complexity and extends in scope to other real-time correlation functions.