使用力梯度积分器优化量子模拟
Optimize quantum simulation using a force-gradient integrator
摘要：
量子模拟以其强大的计算能力在许多领域显示出巨大的潜力。然而，有限的保真度会导致门操作的数量受到严重限制，这需要我们找到优化的算法。Trotter分解和高阶Trotter分解在量子模拟中有着广泛的应用。我们发现在格点量子色动力学中引入力梯度积分器可以显著地改善它们。通过使用两个应用程序作为例子，我们表明，力梯度分解可以减少门操作的数量高达约三分之一的那些使用高阶特罗特分解。因此，力梯度分解在量子模拟中具有广阔的应用前景。
英文摘要：
Quantum simulation has shown great potential in many fields due to its powerful computational capabilities. However, the limited fidelity can lead to a severe limitation on the number of gate operations, which requires us to find optimized algorithms. Trotter decomposition and high order Trotter decompositions are widely used in quantum simulations. We find that they can be significantly improved by force-gradient integrator in lattice QCD. By using two applications as examples, we show that the force-gradient decomposition can reduce the number of gate operations up to about a third of those using high order Trotter decompositions. Therefore, force-gradient decomposition shows a great prospective in future applications of quantum simulation.
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