Physics – Quantum Physics
Scientific paper
2006-09-20
Physics
Quantum Physics
4 pages, 3 figures
Scientific paper
We address the problem of estimating the phase phi given N copies of the phase rotation gate u(phi). We consider, for the first time, the optimization of the general case where the circuit consists of an arbitrary input state, followed by any arrangement of the N phase rotations interspersed with arbitrary quantum operations, and ending with a POVM. Using the polynomial method, we show that, in all cases where the measure of quality of the estimate phi' for phi depends only on the difference phi'-phi, the optimal scheme has a very simple fixed form. This implies that an optimal general phase estimation procedure can be found by just optimizing the amplitudes of the initial state.
D'Ariano Giacomo M.
Dam Wim van
Ekert Artur
Macchiavello Chiara
Mosca Michele
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