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Quantum Information and Computation     ISSN: 1533-7146      published since 2001
Vol.5 No.6 September 2005

Transformation of quantum states using uniformly controlled rotations (pp467-473)
         Mikko Mottonen, Juha J. Vartiainen, Ville Bergholm, and Martti M. Salomaa
         
doi: https://doi.org/10.26421/QIC5.6-5

Abstracts: We consider a unitary transformation which maps any given pure state of an $n$-qubit quantum register into another one. This transformation has applications in the initialization of a quantum computer, and also in some quantum algorithms. Employing uniformly controlled rotations, we present a quantum circuit of $2^{n+2}-4n-4$ CNOT gates and $2^{n+2}-5$ one-qubit elementary rotations that effects the state transformation. The complexity of the circuit is noticeably lower than the previously published results. Moreover, we present an analytic expression for the rotation angles needed for the transformation.
Key words: quantum computation, quantum state preparation

 

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