Simulating a ring-like Hubbard system with a quantum computer
Simulating a ring-like Hubbard system with a quantum computer
复制标题
用量子计算机模拟环形哈伯德系统
作者：
Philippe Suchsland;P. Barkoutsos;I. Tavernelli;M. H. Fischer;T. Neupert
我们开发了一个工作流程，使用当前的量子计算硬件解决量子多体问题，使用费米哈伯德模型的例子。具体地，我们研究了一个四位的哈伯德环，表现出从一个产品状态的过渡到一个内在的相互作用的基态跳跃幅度的变化。我们找到这个过渡和解决的基态能量与高定量精度使用变分量子算法在IBM量子计算机上执行。我们的研究结果是使变分animator充分利用的最大集的交换$\mathbb{Z}_2$对称性的问题和Lanczos启发的错误缓解算法。它们是利用近期量子模拟器解决量子多体问题的基准。
We develop a workflow to use current quantum computing hardware for solving quantum many-body problems, using the example of the fermionic Hubbard model. Concretely, we study a four-site Hubbard ring that exhibits a transition from a product state to an intrinsically interacting ground state as hopping amplitudes are changed. We locate this transition and solve for the ground state energy with high quantitative accuracy using a variational quantum algorithm executed on an IBM quantum computer. Our results are enabled by a variational ansatz that takes full advantage of the maximal set of commuting $\mathbb{Z}_2$ symmetries of the problem and a Lanczos-inspired error mitigation algorithm. They are a benchmark on the way to exploiting near term quantum simulators for quantum many-body problems.
影响因子：
19.6
作者：
Motta, Mario;Sun, Chong;Chan, Garnet Kin-Lic
通讯作者：
Chan, Garnet Kin-Lic