Implementing Quantum Walks Using Orbital Angular Momentum of Classical Light

被引:94
作者
Goyal, Sandeep K. [1 ,2 ]
Roux, Filippus S. [3 ]
Forbes, Andrew [1 ,3 ]
Konrad, Thomas [1 ,4 ]
机构
[1] Univ KwaZulu Natal, Sch Chem & Phys, ZA-4000 Durban, South Africa
[2] Inst Math Sci, Ctr Quantum Sci, Madras 600113, Tamil Nadu, India
[3] CSIR, Natl Laser Ctr, ZA-0001 Pretoria, South Africa
[4] Univ KwaZulu Natal, NITheP, ZA-4000 Durban, South Africa
基金
新加坡国家研究基金会;
关键词
OPTICAL-SYSTEMS; CALCULUS; TRANSFORMATION;
D O I
10.1103/PhysRevLett.110.263602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an implementation scheme for a quantum walk in the orbital angular momentum space of a laser beam. The scheme makes use of a ring interferometer, containing a quarter-wave plate and a q plate. This setup enables one to perform an arbitrary number of quantum walk steps. In addition, the classical nature of the implementation scheme makes it possible to observe the quantum walk evolution in real time. We use nonquantum entanglement of the laser beam's polarization with its orbital angular momentum to implement the quantum walk.
引用
收藏
页数:5
相关论文
共 45 条
[1]   QUANTUM RANDOM-WALKS [J].
AHARONOV, Y ;
DAVIDOVICH, L ;
ZAGURY, N .
PHYSICAL REVIEW A, 1993, 48 (02) :1687-1690
[2]   ORBITAL ANGULAR-MOMENTUM OF LIGHT AND THE TRANSFORMATION OF LAGUERRE-GAUSSIAN LASER MODES [J].
ALLEN, L ;
BEIJERSBERGEN, MW ;
SPREEUW, RJC ;
WOERDMAN, JP .
PHYSICAL REVIEW A, 1992, 45 (11) :8185-8189
[3]  
Ambainis A., 2001, P 33 ANN ACM S THEOR, P37, DOI 10.1145/380752.380757.
[4]   QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS [J].
Ambainis, Andris .
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2003, 1 (04) :507-518
[5]   Optical Galton board [J].
Bouwmeester, D ;
Marzoli, I ;
Karman, GP ;
Schleich, W ;
Woerdman, JP .
PHYSICAL REVIEW A, 2000, 61 (01) :9
[6]   Discrete Single-Photon Quantum Walks with Tunable Decoherence [J].
Broome, M. A. ;
Fedrizzi, A. ;
Lanyon, B. P. ;
Kassal, I. ;
Aspuru-Guzik, A. ;
White, A. G. .
PHYSICAL REVIEW LETTERS, 2010, 104 (15)
[7]   Optimizing the discrete time quantum walk using a SU(2) coin [J].
Chandrashekar, C. M. ;
Srikanth, R. ;
Laflamme, Raymond .
PHYSICAL REVIEW A, 2008, 77 (03)
[8]   Spatial search by quantum walk [J].
Childs, AM ;
Goldstone, J .
PHYSICAL REVIEW A, 2004, 70 (02) :022314-1
[9]   Efficient sorting of Bessel beams [J].
Dudley, Angela ;
Mhlanga, Thandeka ;
Lavery, Martin ;
McDonald, Andre ;
Roux, Filippus S. ;
Padgett, Miles ;
Forbes, Andrew .
OPTICS EXPRESS, 2013, 21 (01) :165-171
[10]   Entangling Different Degrees of Freedom by Quadrature Squeezing Cylindrically Polarized Modes [J].
Gabriel, C. ;
Aiello, A. ;
Zhong, W. ;
Euser, T. G. ;
Joly, N. Y. ;
Banzer, P. ;
Foertsch, M. ;
Elser, D. ;
Andersen, U. L. ;
Marquardt, Ch. ;
Russell, P. St. J. ;
Leuchs, G. .
PHYSICAL REVIEW LETTERS, 2011, 106 (06)