The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Quantum walk on the line as an interference phenomenon
Open accessAbstract
We show that the coined quantum walk on a line can be understood as an interference phenomenon, can be classically implemented, and indeed already has been. The walk is essentially two independent walks associated with the different coin sides, coupled only at initiation. There is a simple analogy between the evolution of walker positions and the propagation of light in a dispersive optical fiber.
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“the analogy between the wave packets of (7) and (12) extends beyond the probability distribution to the entanglement between the spinor and spatial degrees of freedom [18].”
From Relativistic quantum walks (2006) · cites this paper as [18]
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“Such states appear to require entanglement between the spatial and spinor degrees of freedom [18]-this is shown for (7) below.”
From Relativistic quantum walks (2006) · cites this paper as [18]
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Citations
Cites
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Implementing the quantum random walk
Travaglione, B. C., & Milburn, G. J. (2002) · Physical Review A · doi:10.1103/physreva.65.032310 · Cited by 295
Quantum walks in optical lattices
Dür, W., Raussendorf, R., Kendon, V. M., & Briegel, H.-J. (2002) · Physical Review A · doi:10.1103/physreva.66.052319 · Cited by 259
Decoherence can be useful in quantum walks
Kendon, V., & Tregenna, B. (2003) · Physical Review A · doi:10.1103/physreva.67.042315 · Cited by 223
Grover's search algorithm: An optical approach
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Quantum Walk on the LinePreprint
Ashwin, N., & Vishwanath, A. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0010117 · Cited by 200
Quantum quincunx in cavity quantum electrodynamics
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Self-citationBouwmeester, D., Marzoli, I., Karman, G. P., Schleich, W. P., & Woerdman, J. P. (1999) · Physical Review A · doi:10.1103/physreva.61.013410 · Cited by 167
Implementation of Quantum Search Algorithm using Classical Fourier Optics
Bhattacharya, N., van den Heuvell, H. B. V. L., & Spreeuw, R. J. C. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.137901 · Cited by 161
Classical wave-optics analogy of quantum-information processing
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Pulse spreading in a single-mode fiber due to third-order dispersion
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Quantum Random Walks Hit Exponentially FasterPreprint
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Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952
Quantum walks: a comprehensive review
Venegas-Andraca, S. E. (2012) · Quantum Information Processing · doi:10.1007/s11128-012-0432-5 · Cited by 934
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929
Quantum Walk in Position Space with Single Optically Trapped Atoms
Karski, M., Förster, L., Choi, J.-M., Steffen, A., Alt, W., Meschede, D., & Widera, A. (2009) · Science · doi:10.1126/science.1174436 · Cited by 659
Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations
Schreiber, A., Cassemiro, K. N., Potoček, V., Gábris, A., Mosley, P. J., Andersson, E., Jex, I., & Silberhorn, C. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.050502 · Cited by 588
Metadata
- Authors
- Knight, P. L., Roldán, E., & Sipe, J. E.
- Affiliations
- Imperial College London (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-08-27
- Volume
- 68
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1988086028
- Cited by
- 176
- References
- 16
- Citations by year
- 2025: 1 · 2024: 5 · 2022: 5 · 2021: 11 · 2020: 11 · 2019: 9 · 2018: 7 · 2017: 7 · 2016: 5 · 2015: 8 · 2014: 4 · 2013: 12 · 2012: 12
- FWCI
- 9.55
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Spiral (Imperial College London) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Commission
- Natural Sciences and Engineering Research Council of Canada
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- discrete-time quantum walks, interference, coin operator
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