New \(n\)-mode Bose operator realization of SU(2) Lie algebra and its application in entangled fractional Fourier transform. (English) Zbl 1170.81321
Summary: We introduce a new \(n\)-mode Bose operator realization of SU(2) Lie algebra and link it to the two mutually conjugate multipartite entangled state representations. In so doing we are naturally lead to the n-mode entangle fractional Fourier transform (EFFT), which provides us with a convenient way to deriving the EFFT of quantum-mechanical wave functions.
MSC:
| 81P68 | Quantum computation |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
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