caa a22 4500 445886501 CHVBK 20180317145601.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s11128-010-0209-7 doi (NATIONALLICENCE)springer-10.1007/s11128-010-0209-7 A desired state can not be found with certainty for Grover's algorithm in a possible three-dimensional complex subspace [Elektronische Daten] [Wenliang Jin, Xiangdong Chen] Using an accurate method, we prove that no matter what the initial superposition may be, neither a superposition of desired states nor a unique desired state can be found with certainty in a possible three-dimensional complex subspace, provided that the deflection angle Φ is not exactly equal to zero. By this method, we derive such a result that, if N is sufficiently large (where N denotes the total number of the desired and undesired states in an unsorted database), then corresponding to the case of identical rotation angles, the maximum success probability of finding a unique desired state is approximately equal to cos2 Φ for any given $${\Phi\in\left[0,\pi/2\right)}$$. Springer Science+Business Media, LLC, 2010 Grover's quantum search algorithm nationallicence Identical rotation angles nationallicence Deflection angle nationallicence Jin Wenliang School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China aut Chen Xiangdong School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China aut Quantum Information Processing Springer US; http://www.springer-ny.com 10/3(2011-06-01), 419-429 1570-0755 10:3<419 2011 10 11128 https://doi.org/10.1007/s11128-010-0209-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0209-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jin Wenliang School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Chen Xiangdong School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/3(2011-06-01), 419-429 1570-0755 10:3<419 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer