Remote-state preparation in higher dimension and the parallelizable manifold Sn-1
Remote-state preparation in higher dimension and the parallelizable manifold Sn-1
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DOI：
10.1103/physreva.65.022316
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发表时间：
2001-05
影响因子：
2.9
通讯作者：
B. Zeng;Peng Zhang
中科院分区：
文献类型：
--
作者：
B. Zeng;Peng Zhang
本文证明了在实数Hilbert空间中，远程状态准备（RSP）方案只有在空间维数为2、4或8时才能实现。这一事实被证明与（n-1）维球面Sn-1的并行性有关。当维数为4和8时，明确地给出了广义格式。还证明了对于具有相同范数分量的给定状态，RSP可以推广到任意维情况。
This paper proves that the remote-state preparation (RSP) scheme in real Hilbert space can only be implemented when the dimension of the space is 2, 4, or 8. This fact is shown to be related to the parallelizability of the (n-1)-dimensional sphere Sn-1. When the dimension is 4 and 8 the generalized scheme is explicitly presented. It is also shown that for a given state with components having the same norm, RSP can be generalized to arbitrary dimension case.