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Coherent time evolution and boundary conditions of two-photon quantum walks in waveguide arrays

Abstract

Multi-photon quantum walks in integrated optics are an attractive controlled quantum system, that can mimic less readily accessible quantum systems and exhibit behavior that cannot in general be accurately replicated by classical light without an exponential overhead in resources. The ability to observe time evolution of such systems is important for characterising multi-particle quantum dynamics---notably this includes the effects of boundary conditions for walks in spaces of finite size. Here we demonstrate the coherent evolution of quantum walks of two indistinguishable photons using planar arrays of 21 evanescently coupled waveguides fabricated in silicon oxynitride technology. We compare three time evolutions, that follow closely a model assuming unitary evolution, corresponding to three different lengths of the array---in each case we observe quantum interference features that violate classical predictions. The longest array includes reflecting boundary conditions.

Journal Article Type Article
Publication Date 2013-07
Print ISSN 2469-9926
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 88
Issue 1
Article Number 012308
APA6 Citation D. A. Meinecke, J., Poulios, K., Politi, A., C. F. Matthews, J., Peruzzo, A., Ismail, N., …G. Thompson, M. (2013). Coherent time evolution and boundary conditions of two-photon quantum walks in waveguide arrays. Physical Review A, 88(1), https://doi.org/10.1103/PhysRevA.88.012308
DOI https://doi.org/10.1103/PhysRevA.88.012308
Keywords Quantum Physics
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.012308

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