论文标题
O（3）Sigma模型的量子模拟中的状态制备和测量
State preparation and measurement in a quantum simulation of the O(3) sigma model
论文作者
论文摘要
最近，Singh和Chandrasekharan表明，非线性O（3）Sigma模型的固定点可以在旋转模型的量子相变附近，每个晶格位点只有两个量子位。在NUQS协作的论文中，提出了该建议，以使用类似模型的通用属性在量子计算机上模拟此类现场理论。在本文中，遵循该方向，我们演示了如何从量子计算机上从量子计算机上制备模型的基态并测量动态量的O（3）Noether电荷。特别是，我们采用小棍子方法来获得在弱耦合和量子关键方案中绝热基态制备的复杂性的结果，并使用阴影层析成像来测量局部可观察物的动力学。然后，我们基于非单身随机仿真方法的量子算法进行介绍和分析，该算法可能产生适合中期噪声量子设备的方法。
Recently, Singh and Chandrasekharan showed that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. In a paper by the NuQS collaboration, the proposal is made to simulate such field theories on a quantum computer using the universal properties of a similar model. In this paper, following that direction, we demonstrate how to prepare the ground state of the model from and measure a dynamical quantity of interest, the O(3) Noether charge, on a quantum computer. In particular, we apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes and use shadow tomography to measure the dynamics of local observables. We then present and analyze a quantum algorithm based on non-unitary randomized simulation methods that may yield an approach suitable for intermediate-term noisy quantum devices.
