论文标题
由于主要星座的内部几何形状和与量子纠缠的关系，高旋转的浆果阶段
Berry phases of higher spins due to internal geometry of Majorana constellation and relation to quantum entanglement
论文作者
论文摘要
Majorana恒星是与旋转状态正交的相干状态相关的抗虫方向，对通用量子状态的结构提供了可视化和几何理解。例如，旋转1/2的浆果相位由其Majorana恒星的近路径包围的一半。可以想象，高旋转的浆果相也可能与主要星座的几何形状有关。我们发现，对于Spin-1状态，除了由两个Majorana恒星的近距离路径所包围的固体角度所产生的预期贡献外，浆果相还包括与两个Majorcenter恒星Barycenter围绕旋转的扭曲的术语，即星座的自动旋转。有趣的是，如果Spin-1状态被视为对称的两个Qubit状态，则对浆果相的额外贡献是由两个量子位的量子纠缠加权的主要星座的自我旋转给出的。这一发现暗示了主要代表量子状态和量子纠缠的深层结构中的相关性。
Majorana stars, the antipodal directions associated with the coherent states that are orthogonal to a spin state, provide a visualization and a geometric understanding of the structures of general quantum states. For example, the Berry phase of a spin-1/2 is given by half the solid angle enclosed by the close path of its Majorana star. It is conceivable that the Berry phase of higher spins may also be related to the geometry of the Majorana constellation. We find that for a spin-1 state, besides the expected contributions from the solid angles enclosed by the close paths of the two Majorana stars, the Berry phase includes a term related to the twist of the relative position vector around the barycenter vector of the two Majorana stars, i.e., the self-rotation of the constellation. Interestingly, if the spin-1 state is taken as a symmetrized two-qubit state, the extra contribution to the Berry phase is given by the self-rotation of the Majorana constellation weighted by the quantum entanglement of the two qubits. This discovery alludes to the relevance of the Majorana stellar geometry in representing the deep structures of quantum states and of quantum entanglement.
