[1] Motwani R, Raghavan P[M]. Randomized Algorithms(1995).

[2] Aharonov Y, Davidovich L, Zagury N. Quantum random walks[J]. Physical Review A, 48, 1687-1690(1993).

[3] Guillotin-Plantard N, Schott R[M]. Dynamic Random Walks: Theory and Applications(2006).

[4] Childs A M. Universal computation by quantum walk[J]. Physical Review Letters, 102, 180501(2009).

[5] Venegas-Andraca S E. Quantum walks: A comprehensive review[J]. Quantum Information Processing, 11, 1015-1106(2012).

[6] Ambainis A. Quantum walks and their algorithmic applications[J]. International Journal of Quantum Information, 1, 507-518(2003).

[7] Childs A M, Cleve R, Deotto E et al. Exponential algorithmic speedup by a quantum walk[C], 59-68(2003).

[8] Shenvi N, Kempe J, Whaley K B. Quantum random-walk search algorithm[J]. Physical Review A, 67, 052307(2003).

[9] Chakraborty S, Novo L, Ambainis A et al. Spatial search by quantum walk is optimal for almost all graphs[J]. Physical Review Letters, 116, 100501(2016).

[10] Lu D W. Implementing Quantum Simulation Tasks Using Nuclear Magnetic Resonance[D](2012).

[11] Karski M, Förster L, Choi J M et al. Quantum walk in position space with single optically trapped atoms[J]. Science, 325, 174-177(2009).

[12] Schmitz H, Matjeschk R, Schneider C et al. Quantum walk of a trapped ion in phase space[J]. Physical Review Letters, 103, 090504(2009).

[13] Sansoni L, Sciarrino F, Vallone G et al. Two-particle bosonic-Fermionic quantum walk via integrated photonics[J]. Physical Review Letters, 108, 010502(2012).

[14] Ionicioiu R, Terno D R. Proposal for a quantum delayed-choice experiment[J]. Physical Review Letters, 107, 230406(2011).

[15] Peruzzo A, Shadbolt P, Brunner N et al. A quantum delayed-choice experiment[J]. Science, 338, 634-637(2012).

[16] Tang J S, Li Y L, Xu X Y et al. Realization of quantum Wheeler's delayed-choice experiment[J]. Nature Photonics, 6, 600-604(2012).

[17] Xue P, Sanders B C. Controlling and reversing the transition from classical diffusive to quantum ballistic transport in a quantum walk by driving the coin[J]. Physical Review A, 87, 022334(2013).

[18] Brun T A, Carteret H A, Ambainis A. Quantum to classical transition for random walks[J]. Physical Review Letters, 91, 130602(2003).

[19] Kendon V, Sanders B C. Complementarity and quantum walks[J]. Physical Review A, 71, 022307(2005).

[20] Schreiber A, Cassemiro K N, Potoček V et al. Decoherence and disorder in quantum walks: From ballistic spread to localization[J]. Physical Review Letters, 106, 180403(2011).

[21] Goyal S K, Roux F S, Forbes A et al. Implementing quantum walks using orbital angular momentum of classical light[J]. Physical Review Letters, 110, 263602(2013).

[22] Ru S H, Wang X, Wang Y L et al. Quantum manipulation and application of photon orbital angular momentum[J]. Chinese Journal of Quantum Electronics, 39, 96-109(2022).

[23] Di Giulio V, Kociak M, de Abajo F J G. Probing quantum optical excitations with fast electrons[J]. Optica, 6, 1524-1534(2019).

[24] Brun T A, Carteret H A, Ambainis A. Quantum walks driven by many coins[J]. Physical Review A, 67, 052317(2003).

[25] Brun T A, Carteret H A, Ambainis A. Quantum to classical transition for random walks[J]. Physical Review Letters, 91, 130602(2003).