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Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations
Open accessAbstract
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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“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. 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]
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“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.”
From Experimental measurement of the Berry curvature from anomalous transport (2017) · cites this paper as [31]
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“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.”
From Experimental measurement of the Berry curvature from anomalous transport (2017) · cites this paper as [31]
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“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).”
From Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation (2011) · cites this paper as [13]
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Self-citationQuantum walk with a four-dimensional coin
Hamilton, C. S., Gábri, A., Jex, I., & Barnett, S. M. (2011) · Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) · Cited by 13
Self-citationSingh, S., Alderete, C. H., Balu, R., Monroe, C., Linke, N. M., & Chandrashekar, C. M. (2021) · Physical Review A · doi:10.1103/physreva.104.062401 · Cited by 13
Decoherence-enhanced performance of quantum walks applied to graph isomorphism testing
Bruderer, M., & Plenio, M. B. (2016) · Physical Review A · doi:10.1103/physreva.94.062317 · Cited by 13
Maximal coin-walker entanglement in a ballistic quantum walk
Zhang, R., Yang, R., Guo, J., Sun, C.-W., Duan, J.-C., Zhou, H., Xie, Z., Xu, P., Gong, Y.-X., & Zhu, S.-N. (2022) · Physical Review A · doi:10.1103/physreva.105.042216 · Cited by 13
Implementation of Shor’s algorithm with a single photon in 32 dimensions
Weng, H., & Chuu, C. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.22.034003 · Cited by 15
Metadata
- 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
- Publisher
- American Physical Society (APS)
- 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
- green
- arxiv.org
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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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