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2003
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Abstract
Unitary transformations in an angular momentum Hilbert space H(2j + 1), are considered. They are expressed as a finite sum of the displacement operators (which play the role of SU(2j + 1) generators) with the Weyl function as coefficients. The Chinese remainder theorem is used to factorize large qudits in the Hilbert space H(2j + 1) in terms of smaller qudits in Hilbert spaces H(2ji + 1). All unitary transformations on large qudits can be performed through appropriate unitary transformations on the smaller qudits.
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Vourdas, A (2003). Factorization in finite quantum systems. Journal of Physics A: Mathematical and General. Vol. 36, N. 20, pp. 5645-5653.
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