论文标题
准备使用冷原子对1+1d O（3）非线性σ模型的量子模拟的准备
Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
论文作者
论文摘要
1+1d O（3）非线性σ模型是用于对其他渐近理论（例如非亚洲仪表理论）的未来量子晶格模拟的模型系统。我们发现，利用尺寸降低可以有效利用当前在冷原子量子模拟器上可用的二维布局。引入了重新归一化耦合的新定义，该定义适用于具有开放边界条件的系统，可以使用模拟量子模拟器进行测量。执行蒙特卡洛和张量网络计算，以确定重现扰动短距可观察物所需的量子资源。特别是，我们表明，具有现有量子硬件功能的48个rydberg原子的矩形阵列应该能够绝热地准备相关匹配的理论的低能状态。然后，这些状态可用于模拟超出古典计算机范围的连续性极限中的非扰动可观察力。
The 1+1D O(3) non-linear σ-model is a model system for future quantum lattice simulations of other asymptotically-free theories, such as non-Abelian gauge theories. We find that utilizing dimensional reduction can make efficient use of two-dimensional layouts presently available on cold atom quantum simulators. A new definition of the renormalized coupling is introduced, which is applicable to systems with open boundary conditions and can be measured using analog quantum simulators. Monte Carlo and tensor network calculations are performed to determine the quantum resources required to reproduce perturbative short-distance observables. In particular, we show that a rectangular array of 48 Rydberg atoms with existing quantum hardware capabilities should be able to adiabatically prepare low-energy states of the perturbatively-matched theory. These states can then be used to simulate non-perturbative observables in the continuum limit that lie beyond the reach of classical computers.
