Cited by 588Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications

Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations

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Schreiber, A., Cassemiro, K. N., Potoček, V., Gábris, A., Mosley, P. J., Andersson, E., Jex, I., Silberhorn, Ch.·2010·Physical Review Letters

Abstract

We present the first robust implementation of a coined quantum walk over five steps using only passive optical elements. By employing a fiber network loop we keep the amount of required resources constant as the walker's position Hilbert space is increased. We observed a non-Gaussian distribution of the walker's final position, thus characterizing a faster spread of the photon wave packet in comparison to the classical random walk. The walk is realized for many different coin settings and initial states, opening the way for the implementation of a quantum-walk-based search algorithm.

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Crossref · 10.1103/physrevlett.104.050502

Cites

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  • Device characterisation used 810 nm light from a diode laser source launched into the central input, and the resulting interference pattern displays the ballistic dynamics equivalent to a single photon undergoing a continuous time quantum walk.

    “Device characterisation used 810 nm light from a diode laser source launched into the central input with power intensity measured with a CCD camera; the resulting interference pattern is given in Fig. 2(c) and displays the ballistic dynamics equivalent to a single photon undergoing a continuous time quantum walk [16].”

    From Quantum Walks of Correlated Photons (2010) · cites this paper as [16]

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  • DQWs can be realized directly on lattice-based quantum systems where position space matches the discrete lattice sites.

    “DQWs can be realized directly on lattice-based quantum systems where position space matches the discrete lattice sites. Such implementations have been reported with cold atoms27,28 and photonic systems29–32.”

    From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [30]

    The paper reports a photonic implementation of a discrete coined quantum walk (p. 1), supporting the citation as an example of a photonic system. But it says the walker’s position is translated into arrival times at the detector (p. 1), not directly matched to physical lattice sites as the citing sentence suggests. (LLM, conf=0.86)

    Experimental — accuracy not yet measured
  • The setup uses a time-multiplexing linear optical scheme with two coupled fibre loops of different lengths.

    “In our experiment, we employ a time-multiplexing, linear optical scheme based on two coupled fibre loops of different lengths 31,32 as shown in Fig. 1a.”
  • In the photonic mesh lattice setup, pulses in two coupled optical fibre loops simulate a wavepacket in a 1D lattice.

    “In our 'photonic mesh lattice' set-up 31,32 , pulses are injected into two coupled optical fibre loops, so that the temporal evolution of the outgoing pulse-train envelope simulates a wavepacket in a 1D lattice.”
  • Photonic discrete time quantum walks were experimentally demonstrated using weak coherent light and using single photons produced via parametric down-conversion.

    “Indeed, photonic discrete time quantum walks were experimentally demonstrated by Schreiber et al. [13] using weak coherent light and by Broome et. al [14] using single photons produced via parametric down-conversion (PDC).”

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Cites

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Research works printed but not linked: 3

  1. [3]N. Shenvi, J. Kempe, K. Birgitta Whaley, Phys. Rev. A 67 , 052307 (2003); A. Ambainis, J. Kempe, A. Rivosh, in Proc. 16th ACM-SIAM SODA, Vancouver, 2005 , (SIAM, Philadelphia, USA, 2005) p. 1099;
  2. [5]A. M. Childs, Phys. Rev. Lett. 102 , 180501 (2009); N. B. Lovett et al. , arXiv:0910.1024v2 [quant-ph] (2009). · arXiv
  3. [9]H. Schmitz et al. , Phys. Rev. Lett. 103 , 090504 (2009). M. Karski et al. , Science 325 , 174 (2009). F. Z¨ ahringer et al. arXiv:0911.1876v1 [quant-ph] (2009). · arXiv

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Authors
Schreiber, A., Cassemiro, K. N., Potoček, V., Gábris, A., Mosley, P. J., Andersson, E., Jex, I., & Silberhorn, C.
Affiliations
  • Max Planck Institute for the Science of Light (DE)
  • Czech Technical University in Prague (CZ)
  • Heriot-Watt University (GB)
Venue
Physical Review Letters
Published
2010-02-04
Volume
104
Issue
5
Pages
050502-050502
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2074808661
Cited by
588
References
26
Citations by year
2026: 17 · 2025: 25 · 2024: 41 · 2023: 26 · 2022: 40 · 2021: 41 · 2020: 45 · 2019: 45 · 2018: 30 · 2017: 33 · 2016: 39 · 2015: 43 · 2014: 42 · 2013: 34 · 2012: 39
FWCI
40.34
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords
discrete-time quantum walks, passive optical components, quantum search

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