论文标题
与浅量子电路定位量子临界点
Locating quantum critical points with shallow quantum circuits
论文作者
论文摘要
量子关键点是研究多体物理学的一个关键概念，但由于固有的复杂性，它的研究甚至可能是量子计算机的资源要求。在本文中，我们提出了一种基于一种称为delta-vqe的变异量子量子质量（VQE）的方法，用于仅使用浅量子电路定位量子临界点。使用Delta-VQE，可以将临界点确定为最令人困惑的点，将两个变异能量之间的零差量化为零差，这些变量能使用两个不同物质阶段的代表性参考状态。值得注意的是，在使用较浅的量子电路时，临界点的签名作为最小点可以更加清晰。我们测试了不同量子系统的算法，并证明了Delta-VQE的有用性。该计划提出了一种新的途径，用于调查具有有限量子资源的近期量子设备上物质的量子阶段。
Quantum critical point is one key concept for studying many-body physics but its investigation may be resource-demanding even for a quantum computer due to the intrinsic complexity. In this paper, we propose an approach based on variational quantum eigensolver(VQE), dubbed as Delta-VQE, for locating the quantum critical point using only shallow quantum circuits. With Delta-VQE, the critical point can be identified as a most confusing point, quantified as zero difference between two variational energies that use two representative reference states of distinct phases of matter. Remarkably, the signature of a critical point as a minimal point can be sharper while using shallower quantum circuits. We test the algorithm for different quantum systems and demonstrate the usefulness of Delta-VQE. The scheme suggests a new avenue for investigating quantum phases of matter on near-term quantum devices with limited quantum resources.
