The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
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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In the citing paper
“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]
Experimental — accuracy not yet measuredIn the citing paper
“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]
In the citing paper
“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]
In the citing paper
“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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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Stochastic Problems in Physics and Astronomy
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Experimental realization of any discrete unitary operator
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Environment-assisted quantum walks in photosynthetic energy transfer
Mohseni, M., Rebentrost, P., Lloyd, S., & Aspuru-Guzik, A. (2008) · The Journal of Chemical Physics · doi:10.1063/1.3002335 · Cited by 1,189
Quantum random-walk search algorithm
Shenvi, N., Kempe, J., & Whaley, K. B. (2003) · Physical Review A · doi:10.1103/physreva.67.052307 · Cited by 1,150
Measuring the Orbital Angular Momentum of a Single Photon
Leach, J., Padgett, M. J., Barnett, S. M., Franke‐Arnold, S., & Courtial, J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.257901 · Cited by 1,135
Universal Computation by Quantum Walk
Childs, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.180501 · Cited by 1,002
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
Research works printed but not linked: 1
- A. Ambainis, 2005, Proc. 16th ACM-SIAM SODA, Vancouver
Cited by
Sorted by citations
Parity–time synthetic photonic lattices
Regensburger, A., Bersch, C., Miri, M.-A., Onishchukov, G., Christodoulides, D. N., & Peschel, U. (2012) · Nature · doi:10.1038/nature11298 · Cited by 2,019
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952
“The use of loop-based architectures has led to realizations of up to 28 steps in a discrete walk 45 .”
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
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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