GENERAL |
|
|
|
|
Effect of Quantum Coins on Two-Particle Quantum Walks |
GAN Shu**, HE Xing-Dao, LIU Bin, FENG Cui-Di |
Key Laboratory of Nondestructive Test (Ministry of Education), Nanchang Hangkong University, Nanchang 330063
|
|
Cite this article: |
GAN Shu, HE Xing-Dao, LIU Bin et al 2015 Chin. Phys. Lett. 32 080305 |
|
|
Abstract We numerically study the effect of the quantum coins on the two-particle quantum walks on an infinite line. Both non-interacting and interacting particles are considered. The joint probability as well as the bunching or anti-bunching behavior are greatly affected by the phase factors in the coin operation. Further, the spatial correlation can be maximized by choosing appropriate coin parameters. The entanglement between the two particles can be adjusted in the same manner.
|
|
Received: 06 February 2015
Published: 02 September 2015
|
|
PACS: |
03.67.Bg
|
(Entanglement production and manipulation)
|
|
05.30.-d
|
(Quantum statistical mechanics)
|
|
05.40.Fb
|
(Random walks and Levy flights)
|
|
|
|
|
[1] Aharonov Y, Davidovich L and Zagury N 1993 Phys. Rev. A 48 1687 [2] Kempe J 2003 Contemp. Phys. 44 307 [3] Tregenna B, Flanagan W, Maile R and Kendon V 2003 New J. Phys. 5 83 [4] Chandrashekar C M, Srikanth R and Banerjee S 2007 Phys. Rev. A 76 022316 [5] Chandrashekar C M, Srikanth R and Laflamme R 2008 Phys. Rev. A 77 032326 [6] Carneiro I, Loo M, Xu X, Girerd M, Kendon V and Knight P L 2005 New J. Phys. 7 156 [7] Abal G, Siri R, Romanelli A and Donangelo R 2006 Phys. Rev. A 73 042302 [8] Omar Y, Paunkovi? N, Sheridan L and Bose S 2006 Phys. Rev. A 74 042304 [9] ?tefaňák M, Kiss T, Jex I and Mohring B 2006 J. Phys. A: Math. Gen. 39 14965 [10] Pathak P K and Agarwal G S 2007 Phys. Rev. A 75 032351 [11] Berry S D and Wang J B 2011 Phys. Rev. A 83 042317 [12] ?tefaňák M, Barnett S M, Kollár B, Kiss T and Jex I 2011 New J. Phys. 13 033029 [13] Rohde P P, Schreiber A, ?tefaňák M, Jex I and Silberhorn C 2011 New J. Phys. 13 013001 [14] Chandrashekar C M and Busch T 2012 Quantum Inf. Process. 11 1287 [15] Peruzzo A et al 2010 Science 329 1500 [16] Owens J O et al 2011 New J. Phys. 13 075003 [17] Sansoni L et al 2012 Phys. Rev. Lett. 108 010502 [18] Brun T A, Carteret H A and Ambainis A 2003 Phys. Rev. A 67 052317 [19] Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|