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The Effect of Quantum Coins on the Spreading of Binary Disordered Quantum Walk |
| ZHAO Jing1, HU Ya-Yun1, TONG Pei-Qing1,2,3** |
1Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023
2Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023
3Kavli Institute for Theoretical Physics China, Chinese Academy of Sciences, Beijing 100190
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| Cite this article: |
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ZHAO Jing, HU Ya-Yun, TONG Pei-Qing 2015 Chin. Phys. Lett. 32 060501 |
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Abstract The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamical disorder case, the transport behavior of particles is diffusive, and for the static disorder case the transport behavior is localized. In this work, we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks. We find that once the coins satisfy certain conditions, the sub-ballistic spreading could be found in binary dynamical disorder quantum walks, and the sub-ballistic, diffusive and sub-diffusive spreadings could be found in binary static disorder quantum walks. We obtain the necessary conditions for those abnormal diffusive behaviors.
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Received: 20 January 2015
Published: 30 June 2015
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| PACS: |
05.30.-d
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(Quantum statistical mechanics)
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05.40.Fb
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(Random walks and Levy flights)
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03.67.Lx
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(Quantum computation architectures and implementations)
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[1] Aharonov Y et al 1993 Phys. Rev. A 48 1687
[2] Farhi E and Gutmann S 1998 Phys. Rev. A 58 915
[3] Shenvi N et al 2003 Phys. Rev. A 67 052307
[4] Ambainis A 2007 SIAM J. Comput. 37 210
[5] Childs A M and Goldstone J 2004 Phys. Rev. A 70 022314
[6] Chandrashekar C M and Laflamme R 2008 Phys. Rev. A 78 022314
[7] Oka T et al 2005 Phys. Rev. Lett. 94 100602
[8] Kitagawa T et al 2010 Phys. Rev. A 82 033429
[9] Li M et al 2013 Chin. Phys. Lett. 30 020304
[10] Dur W et al 2002 Phys. Rev. A 66 052319
[11] Du J et al 2003 Phys. Rev. A 67 042316
[12] Ryan C A et al 2005 Phys. Rev. A 72 062317
[13] Zahringer F et al 2010 Phys. Rev. Lett. 104 100503
[14] Xue P et al 2009 Phys. Rev. Lett. 103 183602
[15] Karski K et al 2009 Science 325 174
[16] Broome M A, Fedrizzi A, Lanyon B P, Kassal I, Aspuru-Guzik A and White A G 2010 Phys. Rev. Lett. 104 153602
[17] Brun T A, Carteret H A and Ambainis A 2003 Phys. Rev. Lett. 91 130602
[18] Segawa E and Konno N 2008 Int. J. Quantum Inf. Process. 6 1231
[19] Joye A and Merkli M 2010 J. Stat. Phys. 140 1025
[20] Xu X P and Liu F 2008 Phys. Rev. A 77 062318
[21] Konno N 2010 Quantum Inf. Process. 9 405
[22] Ahlbrecht A, Scholz V B and Werner A H 2011 J. Math. Phys. 52 102201
[23] Zhang R, Qin H, Tang B and Xue P 2013 Chin. Phys. B 22 110312
[24] Zhang R, Xu Y Q and Xue P 2015 Chin. Phys. B 24 010303
[25] Romanelli A 2007 Phys. Rev. A 76 054306
[26] Romanelli A, Siri R and Micenmacher V 2007 Phys. Rev. E 76 037202
[27] Vieira R, Amorim E P M and Rigolin G 2013 Phys. Rev. Lett. 111 180503 |
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