关于马约拉纳准粒子量子态变换问题的研究

Study on the Problem of Quantum State Transformation based on Majorana Quasiparticles

讨论量子点与马约拉纳粒子耦合量子态的变换问题。首先介绍了马约拉纳费米子及其性质;然后引入量子态的Bloch球表示以及转动算符,通过量子操控技术实现量子态绕z轴的任意角旋转及绕xoy平面的任意轴π旋转;最后通过数学方法证明了2个和4个马约拉纳粒子与量子点构成的体系不能实现绕x轴和y轴旋转任意角。

The problem of quantum state transformation of quantum dots coupling with Majorana Quasiparticles is discussed in this article. Firstly, Majorana fermion and its nature is introduced; then Bloch sphere expression of quantum states and rotation operator are introduced, and quantum states rotating in an arbitrary angle along z-axis and along an arbitrary-π on xoy-plane is realized via quantum control technology; finally, it is proved with mathematical method that a system comprising two and four Majorana particles and quantum dots cannot realize rotation in an arbitrary angle along x-axis and y-axis.