论文标题
中微子作为Qubits和Qutrits
Neutrinos as qubits and qutrits
论文作者
论文摘要
我们分别使用SU（2）Pauli矩阵和SU（3）Gell-Mann矩阵来构建庞加尔球体，将中微子映射到量子信息理论的量子和Qutrit状态。庞加莱球体在两分系统中的构建使我们能够构建Bloch矩阵，该基质在两个中微子系统的Bloch矢量空间中产生了宝贵的对称性。通过识别Qutrits中微子，我们计算了中微子的Qutrit纠缠的度量。我们使用SU（3）Gell-Mann矩阵张量产品来构建两个Qutrits Neutrino系统的庞加莱球体。显示了两个中微子系统中的两分点量子量和两分Qutrits的纠缠度量之间的比较。结果需要研究三个中微子系统中的两个Qutrits纠缠。
We map neutrinos to qubit and qutrit states of quantum information theory by constructing the Poincaré sphere using SU(2) Pauli matrices and SU(3) Gell-Mann matrices, respectively. The construction of the Poincaré sphere in the two-qubit system enables us to construct the Bloch matrix, which yields valuable symmetries in the Bloch vector space of two neutrino systems. By identifying neutrinos with qutrits, we calculate the measures of qutrit entanglement for neutrinos. We use SU(3) Gell-Mann matrices tensor products to construct the Poincaré sphere of two qutrits neutrino systems. The comparison between the entanglement measures of bipartite qubits and bipartite qutrits in the two neutrino system are shown. The result warrants a study of two qutrits entanglement in the three neutrino system.
