Development of MHD Algorithms on Type II Quantum Computers

摘要

While a classical computer manipulates either a '0' or '1' bit, a quantum computer can manipulate states that are arbitrary superpositions of these base states-a qubit state. Quantum computers can entangle and operate on a collection of qubits in parallel and thereby provide exponential speed up over classical computers. Quantum lattice algorithms have been developed to solve problems that are very difficult to solve in classical computers- e.g. magnetohydrodynamic turbulence. In particular a special sequence of collide- steam operators, that can be implemented on a quantum computer, has been devised that will recover the one-dimensional magnetohydrodynamic equations. The results are compared to classical algorithms and the results are in excellent agreement. The power law spectrum is shown to be k(-2). Quantum lattice algorithms have also been developed for nonlinear Schrodinger equations and Korteveg-deVries solitons. There is again excellent agreement between the quantum algorithm solutions and the exact analytic soliton solutions.