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Title: Optimal quantum circuits for general phase estimation
Authors: Van Dam, W.
D'Ariano, G.M.
Ekert, A. 
MacChiavello, C.
Mosca, M.
Issue Date: 1-Mar-2007
Citation: Van Dam, W., D'Ariano, G.M., Ekert, A., MacChiavello, C., Mosca, M. (2007-03-01). Optimal quantum circuits for general phase estimation. Physical Review Letters 98 (9) : -. ScholarBank@NUS Repository.
Abstract: We address the problem of estimating the phase given N copies of the phase-rotation gate u. 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 general measurement. Using the polynomial method, we show that, in all cases where the measure of quality of the estimate for depends only on the difference -, 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. © 2007 The American Physical Society.
Source Title: Physical Review Letters
ISSN: 00319007
DOI: 10.1103/PhysRevLett.98.090501
Appears in Collections:Staff Publications

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