Lipkin model on a quantum computer
Lipkin model on a quantum computer
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DOI：
10.1103/physrevc.104.024305
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发表时间：
2021-08-03
影响因子：
3.1
通讯作者：
Saffman, M.
中科院分区：
文献类型：
--
作者：
Cervia, Michael J.;Balantekin, A. B.;Saffman, M.
原子核是探索和测试宇宙新见解的重要实验室，例如直接探测暗物质或探索中微子性质的实验。感兴趣的目标通常是重的，复杂的原子核，这挑战了我们用经典计算机对其进行可靠建模（以及量化这些模型的不确定性）的能力。因此，将量子计算应用于核结构以实现这些应用具有极大的兴趣。作为这一方向的早期步骤，特别是关于相关量子计算中的不确定性，我们开发了电路来实现Lipkin-Meshkov-Glick模型的变分量子本征解算器（VQE）算法，该模型通常用于核物理界作为多体方法的测试平台。我们提出了两个和三个粒子的VQE的量子电路，并讨论了更多粒子的电路的建设。在IBM Quantum Experience上实现两粒子系统的VQE，我们将初始化和两个量子位门确定为最大的误差来源。我们发现，错误缓解程序显着减少了结果中的错误，但需要额外的量子硬件改进量子计算是足够准确的竞争力与当前最好的经典方法。
Atomic nuclei are important laboratories for exploring and testing new insights into the universe, such as experiments to directly detect dark matter or explore properties of neutrinos. The targets of interest are often heavy, complex nuclei that challenge our ability to reliably model them (as well as quantify the uncertainty of those models) with classical computers. Hence there is great interest in applying quantum computation to nuclear structure for these applications. As an early step in this direction, especially with regards to the uncertainties in the relevant quantum calculations, we develop circuits to implement variational quantum eigensolver (VQE) algorithms for the Lipkin-Meshkov-Glick model, which is often used in the nuclear physics community as a testbed for many-body methods. We present quantum circuits for VQE for two and three particles and discuss the construction of circuits for more particles. Implementing the VQE for a two-particle system on the IBM Quantum Experience, we identify initialization and two-qubit gates as the largest sources of error. We find that error mitigation procedures reduce the errors in the results significantly, but additional quantum hardware improvements are needed for quantum calculations to be sufficiently accurate to be competitive with the best current classical methods.