Quantum dynamics simulation with classical oscillators
J S Briggs, Alexander Eisfeld · Physical Review A · 2013
In a previous paper [J. S. Briggs and A. Eisfeld, Phys. Rev. A 85, 052111 (2012)] we showed that the time development of the complex amplitudes of $N$ coupled quantum states can be mapped by the time development of positions and velocities of $N$ coupled classical oscillators. Here we examine to what extent this mapping can be realized to simulate the ``quantum,'' properties of entanglement and qubit manipulation. By working through specific examples, e.g., of quantum gate operation, we seek to illuminate quantum and classical differences which hitherto have been treated more mathematically. In addition, we show that important quantum coupled phenomena, such as the Landau-Zener transition and the occurrence of Fano resonances can be simulated by classical oscillators.