The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Symmetries, topological phases, and bound states in the one-dimensional quantum walk
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Such topological invariants (winding numbers) were identified by Kitagawa, Berg et al. (2010), Asbóth (2012), Yao, Yan, and Wang (2017) and were shown to depend on the complete time-evolution operator U(t,t0).
“Such topological invariants (winding numbers) were identified by Kitagawa, Berg et al. (2010), Asbóth (2012 Yao, Yan, and Wang (2017) and were indeed shown to depend on the complete time-evolution operator Ûðt; t 0 Þ.”
From Topological photonics (2019) · cites this paper as Asbóth (2012)
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Citations
Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Aharonov, Y., Davidovich, L., & Zagury, N. (1993) · Physical Review A · doi:10.1103/physreva.48.1687 · Cited by 1,622
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
Observation of topologically protected bound states in photonic quantum walks
Kitagawa, T., Broome, M. A., Fedrizzi, A., Rudner, M. S., Berg, E., Kassal, I., Aspuru-Guzik, A., Demler, E., & White, A. G. (2012) · Nature Communications · doi:10.1038/ncomms1872 · Cited by 607
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
Exploring topological phases with quantum walks
Kitagawa, T., Rudner, M. S., Berg, E., & Demler, E. (2010) · Physical Review A · doi:10.1103/physreva.82.033429 · Cited by 534
Discrete Single-Photon Quantum Walks with Tunable Decoherence
Broome, M. A., Fedrizzi, A., Lanyon, B. P., Kassal, I., Aspuru-Guzik, A., & White, A. G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.153602 · Cited by 420
Decoherence in quantum walks – a review
KENDON, V. (2007) · Mathematical Structures in Computer Science · doi:10.1017/s0960129507006354 · Cited by 252
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Research works printed but not linked: 11
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Cited by
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Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
Cardano, F., D’Errico, A., Dauphin, A., Maffei, M., Piccirillo, B., de Lisio, C., De Filippis, G., Cataudella, V., Santamato, E., Marrucci, L., et al. (2017) · Nature Communications · doi:10.1038/ncomms15516 · Cited by 351
Edge-state-enhanced transport in a two-dimensional quantum walk
Asboth, J. K., & Edge, J. M. (2015) · Physical Review A · doi:10.1103/physreva.91.022324 · Cited by 50
Singh, 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
Metadata
- Authors
- Asbóth, J. K.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-09
- Volume
- 86
- Issue
- 19
- ISSN
- 1098-0121
- 1550-235X
- Cited by
- 197
- References
- 9
- Language
- en
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