论文标题
高阶奇异值分解和三个QUBIT的密度降低
Higher order singular value decomposition and the reduced density matrices of three qubits
论文作者
论文摘要
在本文中，我们证明了高阶奇异价值分解（HOSVD）可用于通过本地统一（LU）操作在三个量子位中识别特殊状态。由于三个量子位的矩阵展开与它们的密度矩阵降低有关，因此HOSVD同时将三个量子位的一体降低密度矩阵对角线。根据HOSVD的全异构条件，我们计算了三个量子位的特殊状态。此外，我们表明可以构建一个多型，该多型通过使用HOSVD封装了Lu操作的三个量子位的所有特殊状态。
In this paper, we demonstrate that higher order singular value decomposition (HOSVD) can be used to identify special states in three qubits by local unitary (LU) operations. Since the matrix unfoldings of three qubits are related to their reduced density matrices, HOSVD simultaneously diagonalizes the one-body reduced density matrices of three qubits. From the all-orthogonality conditions of HOSVD, we computed the special states of three qubits. Furthermore, we showed that it is possible to construct a polytope that encapsulates all the special states of three qubits by LU operations with HOSVD.
