Remote-state preparation in higher dimension and the parallelizable manifold
- 15 January 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 65 (2), 022316
- https://doi.org/10.1103/physreva.65.022316
Abstract
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 -dimensional sphere 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.
Keywords
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