论文标题
挫折量子系统的变异量子本量
Variational Quantum Eigensolver for Frustrated Quantum Systems
论文作者
论文摘要
已经提出了杂种量子古典算法作为量子计算机的潜在可行应用。一个特定的例子 - 变异量子元素或VQE - 旨在确定量子哈密顿量指定的能量景观中的全球最小值，这使其对量子化学的需求有吸引力。近年来已经报道了实验实现，其效率的理论估计是强烈努力的主题。在这里，我们考虑了类似于Hubbard的模型的VQE技术的性能，该模型描述了一维费米子链，并具有竞争最接近的最接近和最新期限的相互作用。我们发现，恢复VQE解决方案允许一个人获得与确切结果一致的基态的相关函数。我们还研究了有关哈密顿量的贫瘠高原现象，发现这种效果的严重程度取决于对速度的编码。我们的结果与量子优化中有关贫瘠高原的当前知识一致。
Hybrid quantum-classical algorithms have been proposed as a potentially viable application of quantum computers. A particular example - the variational quantum eigensolver, or VQE - is designed to determine a global minimum in an energy landscape specified by a quantum Hamiltonian, which makes it appealing for the needs of quantum chemistry. Experimental realizations have been reported in recent years and theoretical estimates of its efficiency are a subject of intense effort. Here we consider the performance of the VQE technique for a Hubbard-like model describing a one-dimensional chain of fermions with competing nearest- and next-nearest-neighbor interactions. We find that recovering the VQE solution allows one to obtain the correlation function of the ground state consistent with the exact result. We also study the barren plateau phenomenon for the Hamiltonian in question and find that the severity of this effect depends on the encoding of fermions to qubits. Our results are consistent with the current knowledge about the barren plateaus in quantum optimization.
