A one-dimensional quantum walk with multiple-rotation on the coin.

作者: Peng Xue , Rong Zhang , Hao Qin , Xiang Zhan , Zhihao Bian

DOI: 10.1038/SREP20095

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摘要: We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. study influence property of due to second rotation Based asymptotic solution in long time limit, ballistic behaviour this is observed. This retains quadratic growth variance if combined operator coin unitary. That confirms no localization exhibits walk. result can be extended multiple

参考文章(34)
Takuya Kitagawa, Matthew A. Broome, Alessandro Fedrizzi, Mark S. Rudner, Erez Berg, Ivan Kassal, Alán Aspuru-Guzik, Eugene Demler, Andrew G. White, Observation of topologically protected bound states in photonic quantum walks Nature Communications. ,vol. 3, pp. 882- 882 ,(2012) , 10.1038/NCOMMS1872
Nayak Ashwin, Vishwanath Ashvin, Quantum Walk on the Line arXiv: Quantum Physics. ,(2000)
Maximilian Genske, Wolfgang Alt, Andreas Steffen, Albert H. Werner, Reinhard F. Werner, Dieter Meschede, Andrea Alberti, Electric quantum walks with individual atoms. Physical Review Letters. ,vol. 110, pp. 190601- ,(2013) , 10.1103/PHYSREVLETT.110.190601
Antoni Wójcik, Tomasz Łuczak, Paweł Kurzyński, Andrzej Grudka, Małgorzata Bednarska, Quasiperiodic Dynamics of a Quantum Walk on the Line Physical Review Letters. ,vol. 93, pp. 180601- ,(2004) , 10.1103/PHYSREVLETT.93.180601
Yan Xue, Michał Matuszewski, Creation and Abrupt Decay of a Quasistationary Dark Soliton in a Polariton Condensate Physical Review Letters. ,vol. 112, pp. 216401- ,(2014) , 10.1103/PHYSREVLETT.112.216401
Peng Xue, Hao Qin, Bao Tang, Barry C Sanders, Observation of quasiperiodic dynamics in a one-dimensional quantum walk of single photons in space New Journal of Physics. ,vol. 16, pp. 053009- ,(2014) , 10.1088/1367-2630/16/5/053009
Andrew M. Childs, Universal Computation by Quantum Walk Physical Review Letters. ,vol. 102, pp. 180501- 180501 ,(2009) , 10.1103/PHYSREVLETT.102.180501
Hao Qin, Bao Tang, Peng Xue, Trapping photons on the line: controllable dynamics of a quantum walk Scientific Reports. ,vol. 4, pp. 4825- 4825 ,(2015) , 10.1038/SREP04825
Peng Xue, Rong Zhang, Hao Qin, Xiang Zhan, ZH Bian, Jian Li, Barry C Sanders, Experimental Quantum-Walk Revival with a Time-Dependent Coin Physical Review Letters. ,vol. 114, pp. 140502- ,(2015) , 10.1103/PHYSREVLETT.114.140502
Daniel A. Spielman, Andrew M. Childs, Richard Cleve, Sam Gutmann, Edward Farhi, Enrico Deotto, Exponential algorithmic speedup by a quantum walk symposium on the theory of computing. pp. 59- 68 ,(2003) , 10.1145/780542.780552