论文标题
渐次自由的量子正规化
Qubit regularization of asymptotic freedom
论文作者
论文摘要
我们提供了有力的证据表明，可以使用量子晶格哈密顿量（被称为“海森伯格 - 炸弹”，在希尔伯特空间中，每个空间lattice lattice lattice位点仅作用于希尔伯特空间，可以使用量子晶格汉密尔顿（Heisenberg-Comb）进行正规化渐近的（1+1） - 维非线性O（3）Sigma模型。 Heisenberg-Comb由一个旋转半磁性的抗铁磁性海森堡链组成，在每个晶格位点，抗铁磁偶联到第二个局部旋转半颗粒。使用世界线蒙特卡洛方法，我们表明该模型再现了传统模型的通用阶梯尺度函数，以达到晶格单元中200,000的相关长度，并争论如何出现连续性极限。我们提供了模型时间进化的量子电路描述，并认为近期量子计算机可能足以证明渐近自由。
We provide strong evidence that the asymptotically free (1+1)-dimensional non-linear O(3) sigma model can be regularized using a quantum lattice Hamiltonian, referred to as the "Heisenberg-comb", that acts on a Hilbert space with only two qubits per spatial lattice site. The Heisenberg-comb consists of a spin-half anti-ferromagnetic Heisenberg-chain coupled anti-ferromagnetically to a second local spin-half particle at every lattice site. Using a world-line Monte Carlo method we show that the model reproduces the universal step-scaling function of the traditional model up to correlation lengths of 200,000 in lattice units and argue how the continuum limit could emerge. We provide a quantum circuit description of time-evolution of the model and argue that near-term quantum computers may suffice to demonstrate asymptotic freedom.
