基于恒定磁场的电子自旋量子比特系统任意量子态的最优制备

Optimal preparation of arbitrary quantum state of electron spins quantum-bit system based on invariant magnetic field

借助单量子位的Bloch球面表示,结合量子门实现量子态幺正演化的量子态调控机制,以恒定磁场为控制场,引入开关控制思想,提出了一种针对电子自旋量子系统任意量子态的最优制备策略.建立了量子系统及控制场的模型,并借助李群李代数,由经典最优控制的思想,获得任意量子态的最优制备.理论分析与仿真实验说明了该策略的优越性.

In the presentation of single quantum state on Bloch sphere, a strategy of optimal preparation of arbitrary quantum state of electron spin quantum systems is proposed. By using the mechanical logic gate, the manipulation of quantum system is realized by way of unitary-evolution. In the course, a switch idea for the control systems is presented. The models of quantum systems and the control systems using invariant magnetic field are then established. With the help of the Lie group and the classical control theory, a strategy of optimal preparation of arbitrary quantum state is also realized. Finally, the theoretical analysis and the simulation of the preparation indicate the advantage of the idea.