论文标题
具有空间非交通性的量子机械系统的量子模拟
Quantum simulation of quantum mechanical system with spatial noncommutativity
论文作者
论文摘要
量子模拟已成为一种有希望的研究途径，它使人们能够模拟并深入了解高能物理学模型的实验实现是复杂的，要么与当前技术无法访问。我们演示了这种模型的量子模拟，该模型是一种具有空间非交易性的量子机械系统，它的灵感来自通用量子计算机的非交通性几何形状和非交通性场理论的启发。我们使用新颖的群体理论形式主义将这种非交通量子系统的哈密顿式映射到普通的量子机械汉密尔顿，然后使用trotter-suzuki乘积公式进行量子模拟。此外，我们区分了非交易性参数对量子模拟的影响，尤其是在托特误差上，并指出其较高的值如何影响模拟。
Quantum simulation has become a promising avenue of research that allows one to simulate and gain insight into the models of High Energy Physics whose experimental realizations are either complicated or inaccessible with current technology. We demonstrate the quantum simulation of such a model, a quantum mechanical system with spatial noncommutativity, which is inspired by the works in Noncommutative Geometry and Noncommutative Field theory for a universal quantum computer. We use the novel group theoretical formalism to map the Hamiltonian of such a noncommutative quantum system into the ordinary quantum mechanical Hamiltonian and then carry out the quantum simulation using the Trotter-Suzuki product formula. Furthermore, we distinguish the impact of the noncommutativity parameter on the quantum simulation, especially on the Trotter error, and point out how its sizable value affects the simulation.
