One-dimensional quantum walks with single-point phase defects

作者: Rong Zhang , Peng Xue , Jason Twamley

DOI: 10.1103/PHYSREVA.89.042317

关键词:

摘要: We observe the localization effect of one-dimensional quantum walks with single-point phase defects. The walker's spread velocity is dramatically suppressed by interference effects due to defect. show that depends on four factors: value and position defect, parameter coin flipping, initial state walker + system.

参考文章(41)
NADINE GUILLOTIN-PLANTARD, RENÉ SCHOTT, Chapter 1 – PRELIMINARIES ON DYNAMIC RANDOM WALKS Dynamic Random Walks#R##N#Theory and Applications. pp. 3- 9 ,(2006) , 10.1016/B978-044452735-6/50038-5
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
Y. Aharonov, L. Davidovich, N. Zagury, Quantum random walks Physical Review A. ,vol. 48, pp. 1687- 1690 ,(1993) , 10.1103/PHYSREVA.48.1687
Viv Kendon, Ben Tregenna, Decoherence can be useful in quantum walks Physical Review A. ,vol. 67, pp. 042315- ,(2003) , 10.1103/PHYSREVA.67.042315
Z. J. Li, J. A. Izaac, J. B. Wang, Position-defect-induced reflection, trapping, transmission, and resonance in quantum walks Physical Review A. ,vol. 87, pp. 012314-1- 012314-9 ,(2013) , 10.1103/PHYSREVA.87.012314
Barry C Sanders, Peng Xue, Quantum quincunx for walk on circles in phase space with indirect coin flip New Journal of Physics. ,vol. 10, pp. 053025- ,(2008) , 10.1088/1367-2630/10/5/053025
Binh Do, Michael L. Stohler, Sunder Balasubramanian, Daniel S. Elliott, Christopher Eash, Ephraim Fischbach, Michael A. Fischbach, Arthur Mills, Benjamin Zwickl, Experimental realization of a quantum quincunx by use of linear optical elements Journal of the Optical Society of America B. ,vol. 22, pp. 499- 504 ,(2005) , 10.1364/JOSAB.22.000499
Linda Sansoni, Fabio Sciarrino, Giuseppe Vallone, Paolo Mataloni, Andrea Crespi, Roberta Ramponi, Roberto Osellame, Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics Physical Review Letters. ,vol. 108, pp. 010502- ,(2012) , 10.1103/PHYSREVLETT.108.010502
M. A. Broome, A. Fedrizzi, B. P. Lanyon, I. Kassal, A. Aspuru-Guzik, A. G. White, Discrete single-photon quantum walks with tunable decoherence. Physical Review Letters. ,vol. 104, pp. 153602- ,(2010) , 10.1103/PHYSREVLETT.104.153602
Andrew M. Childs, Universal Computation by Quantum Walk Physical Review Letters. ,vol. 102, pp. 180501- 180501 ,(2009) , 10.1103/PHYSREVLETT.102.180501