Experimental Quantum-Walk Revival with a Time-Dependent Coin

P. Xue, R. Zhang, H. Qin, X. Zhan, Z. H. Bian, J. Li, and Barry C. Sanders
Phys. Rev. Lett. 114, 140502 – Published 6 April 2015

Abstract

We demonstrate a quantum walk with time-dependent coin bias. With this technique we realize an experimental single-photon one-dimensional quantum walk with a linearly ramped time-dependent coin flip operation and thereby demonstrate two periodic revivals of the walker distribution. In our beam-displacer interferometer, the walk corresponds to movement between discretely separated transverse modes of the field serving as lattice sites, and the time-dependent coin flip is effected by implementing a different angle between the optical axis of half-wave plate and the light propagation at each step. Each of the quantum-walk steps required to realize a revival comprises two sequential orthogonal coin-flip operators, with one coin having constant bias and the other coin having a time-dependent ramped coin bias, followed by a conditional translation of the walker.

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  • Received 2 November 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.140502

© 2015 American Physical Society

Authors & Affiliations

P. Xue1,2,*, R. Zhang1, H. Qin1, X. Zhan1, Z. H. Bian1, J. Li1, and Barry C. Sanders3,4,5,6

  • 1Department of Physics, Southeast University, Nanjing 211189, China
  • 2State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
  • 3Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 4Shanghai Branch, CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China
  • 5Institute for Quantum Science and Technology, University of Calgary, Alberta T2N 1N4, Canada
  • 6Program in Quantum Information Science, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada

  • *gnep.eux@gmail.com

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Vol. 114, Iss. 14 — 10 April 2015

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