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 |