Qubit lattice approximation of some quantum and classical physics problems

It is expected that quantum computers can provide exponential speedup over classical supercomputers for the solution of certain physics problems. We have been investigating the Qubit Lattice Approximation (QLA) for classical soliton collisions, for 2D and 3D quantum turbulence, and more recently for electromagnetic wave propagation in dielectric media. The QLA consists of a sequence of interleaved collision-streaming operators acting on a qubit set distributed on a lattice. The collision operators locally entangle the qubits at that particular lattice site, while the streaming operators move this entanglement throughout the lattice.

人们预期，在解决特定物理问题时，量子计算机相较经典超级计算机可实现指数级加速。本团队长期开展经典孤子碰撞、二维与三维量子湍流的量子比特格近似（Qubit Lattice Approximation, QLA）相关研究，近期还将该方法拓展至电介质内电磁波传播场景。QLA的核心是一系列交错排布的碰撞-流算子，作用于分布在格点上的量子比特集合：碰撞算子会在对应格点处对量子比特执行局域纠缠操作，流算子则将该纠缠态传递至整个格点系统。