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.

可以预期，在针对特定物理问题的求解中，量子计算机相较于经典超级计算机可实现指数级加速。我们一直致力于开展经典孤子碰撞、二维及三维量子湍流相关的量子比特格点近似（Qubit Lattice Approximation, QLA）研究，近期更将研究范畴拓展至电介质中的电磁波传播场景。量子比特格点近似由一系列交错的碰撞-流算子构成，作用于分布在晶格上的量子比特集合：其中碰撞算子会在对应格点处对量子比特执行局部纠缠操作，而流算子则会将该纠缠态扩散至整个晶格。