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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].”
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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.”
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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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