论文标题
关于构造统一操作员的订单问题
On the order problem in construction of unitary operators for the Variational Quantum Eigensolver
论文作者
论文摘要
变性量子本索（VQE）框架中的主要挑战之一是构造单一转换。 $ n $ Qubits的单一旋转空间的维度为$ 4^n-1 $，这使得发电机的多项式子集成倍困难。此外，由于发电机的不交流性，使用的顺序强烈影响结果。在特定的发电机子集中选择最佳顺序需要测试阶乘组合数。我们提出了一种基于Lie代数的方法 - 谎言组连接和相应的闭合关系，该关系系统地消除了顺序问题。
One of the main challenges in the Variational Quantum Eigensolver (VQE) framework is construction of the unitary transformation. The dimensionality of the space for unitary rotations of $N$ qubits is $4^N-1$, which makes the choice of a polynomial subset of generators exponentially difficult process. Moreover, due to non-commutativity of generators, the order in which they are used strongly affects results. Choosing the optimal order in a particular subset of generators requires testing the factorial number of combinations. We propose an approach based on the Lie algebra - Lie group connection and corresponding closure relations that systematically eliminates the order problem.
