论文标题
测试哈密顿对称性的量子算法
Quantum Algorithms for Testing Hamiltonian Symmetry
论文作者
论文摘要
哈密顿量中的对称性在量子物理学中起着重要作用，因为它们与保守量相关的系统直接相对应。在本文中，我们提出的量子算法能够测试哈密顿量是否表现出相对于一组的对称性。我们证明，量子力学中哈密顿对称性的熟悉表达直接与我们算法的接受概率相对应。我们在现有量子计算机上执行一种对称算法之一，以简单的对称情况和不对称情况。
Symmetries in a Hamiltonian play an important role in quantum physics because they correspond directly with conserved quantities of the related system. In this paper, we propose quantum algorithms capable of testing whether a Hamiltonian exhibits symmetry with respect to a group. We demonstrate that familiar expressions of Hamiltonian symmetry in quantum mechanics correspond directly with the acceptance probabilities of our algorithms. We execute one of our symmetry-testing algorithms on existing quantum computers for simple examples of both symmetric and asymmetric cases.
