[9] Kempe J. Quantum random walks: an introductory overview[J]. Contemporary Physics, 44, 307-327(2003).
[10] Stefaňak M, Skoupy S. Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs[J]. Physical Review A, 94, 022301(2016).
[11] Rakovszky T, Asboth J K. Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk[J]. Physical Review A, 92, 052311(2015).
[12] Lee C, Kurzynski P, Nha H. Quantum walk as a simulator of nonlinear dynamics: nonlinear Dirac equation and solitons[J]. Physical Review A, 92, 052336(2015).
[13] Broome M A, Fedrizzi A, Lanyon B P et al. Discrete single-photon quantum walks with tunable decoherence[J]. Physical Review Letters, 104, 153602(2010).
[14] Zeng M, Yong E H. Discrete-time quantum walk with phase disorder: localization and entanglement entropy[J]. Scientific Reports, 7, 12024(2017).
[15] Vieira R. Amorim E P M, Rigolin G. Dynamically disordered quantum walk as a maximal entanglement generator[J]. Physical Review Letters, 111, 180503(2013).
[16] Giordani T, Polino E, Emiliani S et al. Experimental engineering of arbitrary qudit states with discrete-time quantum walks[J]. Physical Review Letters, 122, 020503(2019).
[17] Chandrashekar C M, Srikanth R, Laflamme R. Optimizing the discrete time quantum walk using a SU(2) coin[J]. Physical Review A, 77, 032326(2008).
[18] Wang Q Q, Xu X Y, Pan W W et al. Dynamic-disorder-induced enhancement of entanglement in photonic quantum walks[J]. Optica, 5, 1136-1140(2018).
[19] Wójcik A, Łuczak T, Kurzyński P et al. Trapping a particle of a quantum walk on the line[J]. Physical Review A, 85, 012329(2012).
[20] Du J F, Li H, Xu X D et al. Experimental implementation of the quantum random-walk algorithm[J]. Physical Review A, 67, 042316(2003).
[21] Romanelli A. Thermodynamic behavior of the quantum walk[J]. Physical Review A, 85, 012319(2012).
[22] Abal G, Siri R, Romanelli A et al. Quantum walk on the line: entanglement and nonlocal initial conditions[J]. Physical Review A, 73, 042302(2006).
[23] Peruzzo A, Lobino M. Matthews J C F, et al. Quantum walks of correlated photons[J]. Science, 329, 1500-1503(2010).