山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (5): 61-66.doi: 10.6040/j.issn.1671-9352.0.2015.237
任春年,高剑*
REN Chun-nian, GAO Jian*
摘要: 在现有的量子行走实验基础上,进一步提出了在二维量子行走物理装置中的局域化和离域化控制的方案。通过对一维和二维局域化与离域化控制的实验方案的理论分析,引入参数可调的普适投币算符,导出了一般化的量子行走的计算结果,依据理论结果提出了基于集成光波导和光纤装置的可控的安德森效应实验方案。数值仿真实验结果表明量子行走受到电控偏振器控制而出现局域化和离域化现象,验证了所提出设计方案的合理性。
中图分类号:
[1] ANDERSON P W. Absence of diffusion in certain random lattices[J]. Phys Rev, 1958, 109(5):1492-1505. [2] MACHTA J. Generalized diffusion coefficient in one-dimensional random walks with static disorder[J]. Phys Rev B, 1981, 24(9):5260-5269. [3] CRESPI A, OSELLAME R, RAMPONI R. Anderson localization of entangled photons in an integrated quantum walk[J].Nature Photonics, 2013, 7(4):322-328. [4] SCHREIBER A, CASSEMIRO K N, POTOEK V.Photons walking the line: a quantum walk with adjustable coin operations[J].Phys Rev Lett, 2010, 104(5):050502-050506. [5] SANSONI L, SCIARRINO F, VALLONE G.Two-particle bosonic-fermi onic quantum walk via integrated photonics[J].Phys Rev Lett, 2012, 8(1):010502-010507. [6] REN Chunnian, SHI Peng, LIU Kai, et al. Effects of initial states on continuous-time quantum walk in the optical waveguide array[J]. Acta Phys Sin, 2013, 62(9):090301-090314. [7] TREGENNA B, FLANAGAN W, MAILE R, et al.Controlling discrete quantum walks: coins and initial states[J].New J Phys, 2003, 5(1):8301-8319. [8] CHILDS A M, GOLDSTONE J.Spatial search by quantum walk[J].Phys Rev A, 2004, 70(2):022314-022325. [9] AMBAINIS A. Quantum walks and their algorithmic applications[J]. International Journal of Quantum Information, 2003, 1(4):507-518. [10] VENEGAS-ANDRACA S E. Quantum walks: a comprehensive review[J]. Quantum Information Processing, 2012, 11(5):1015-1106. [11] STREKALOV D V, KOWLIGY A S, HUANG Y P, et al. Progress towards interaction-free all-optical devices[J]. Physical Review A, 2014, 89(6):063820-063823. [12] SANSONI L, SCIARRINO F, VALLONE G, et al. Two-particle bosonic-fermionic quantum walk via integrated photonics[J]. Phys Rev Lett, 2012, 108(1):010502-010507. [13] DE NICOLA F, SANSONI L, CRESPI A, et al. Quantum simulation of bosonic-fermionic noninteracting particles in disordered systems via a quantum walk[J]. Phys Rev A, 2014, 89(3):032322-032325. [14] INUI N, KONISHI Y, KONNO N.Localization of two-dimensional quantum walks[J].Phys Rev A, 2004, 69(5):052323-052332. [15] BACH E, COPPERSMITH S, GOLDSCHEN M P, et al. One-dimensional quantum walks with absorbing boundaries[J]. Journal of Computer and System Sciences, 2004, 69(4):562-592. |
No related articles found! |
|