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A General SU(2) Formulation for Quantum Searching with Certainty | | Jin-Yuan Hsieh
; Che-Ming Li
; | | Date: |
7 Dec 2001 | | Journal: | Physical Review A, Volume 65, 052322 (2002) | | Subject: | quant-ph | | Abstract: | A general quantum search algorithm with arbitrary unitary transformations and an arbitrary initial state is considered in this work. To serach a marked state with certainty, we have derived, using an SU(2) representation: (1) the matching condition relating the phase rotations in the algorithm, (2) a concise formula for evaluating the required number of iterations for the search, and (3) the final state after the search, with a phase angle in its amplitude of unity modulus. Moreover, the optimal choices and modifications of the phase angles in the Grover kernel is also studied. | | Source: | arXiv, quant-ph/0112035 | | Services: | Forum | Review | PDF | Favorites | |
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