Probabilistic implementation of universal Hadamard and Unitary gates

Details Probabilistic implementation of universal Hadamard and Unitary gates Probabilistic implementation of universal Hadamard and Unitary gates

2004-04-25

arxiv.org/abs/quant-ph/0404141v2

Physics Letters A, 330, 155-160 (2004)

Physics

Quantum Physics

9 pages, no figures

Scientific paper

10.1016/j.physleta.2004.07.060

We show that the Hadamard and Unitary gates could be implemented by a unitary
evolution together with a measurement for any unknown state chosen from a set
$A = {{| {\Psi_i} > ,| {\bar {\Psi}_i} >}}({i = 1,2})$ if and only if $|
{\Psi_1} > ,| {\Psi_2} > ,| {\bar {\Psi}_1} > ,| {\bar {\Psi}_2} >$ are
linearly independent. We also derive the best transformation efficiencies.

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