Topological phenomena in quantum walks: elementary introduction to the physics of topological phases
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Two-dimensional quantum walks display a richer landscape of topological features when compared to the 1D case.
“Furthermore, twodimensional (2D) QWs display a richer landscape of topological features when compared to the 1D case 11,32 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [11]
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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 · see citing works
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
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Quantum Spin Hall Insulator State in HgTe Quantum Wells
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Topological Insulators in Three Dimensions
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Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
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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 · see citing works
Self-citationPhotons Walking the Line: A Quantum Walk with Adjustable Coin Operations
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Self-citationCold Atoms in Non-Abelian Gauge Potentials: From the Hofstadter "Moth" to Lattice Gauge Theory
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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 · see citing works
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655 · see citing works
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
“Topological models have also been investigated in (Brennen et al., 2009; Freedman et al., 2002; Kitagawa, 2012; Micheli et al., 2006; Stanescu et al., 2009; Xue, 2011).”
MethodQuantum walks of two correlated photons in a 2D synthetic lattice
Esposito, C., Barros, M. R., Durán Hernández, A., Carvacho, G., Di Colandrea, F., Barboza, R., Cardano, F., Spagnolo, N., Marrucci, L., & Sciarrino, F. (2022) · npj Quantum Information · doi:10.1038/s41534-022-00544-0 · Cited by 36 · see citing works
- Authors
- Kitagawa, T.
- Affiliations
- Harvard University (US)
- Corresponding author
- Kitagawa, Takuya
- Venue
- Quantum Information Processing
- Published
- 2012-08-04
- Volume
- 11
- Issue
- 5
- Pages
- 1107-1148
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W2158797683
- Cited by
- 178
- References
- 13
- Citations by year
- 2026: 7 · 2025: 12 · 2024: 6 · 2023: 14 · 2022: 14 · 2021: 20 · 2020: 12 · 2019: 23 · 2018: 19 · 2017: 15 · 2016: 12 · 2015: 11 · 2014: 6 · 2013: 6 · 2012: 1
- FWCI
- 3.97
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Quantum Information Processing (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- discrete-time quantum walks, topological phases, boundary states, periodically driven systems, quantum simulation, topological phase classification, one-dimensional quantum walk, two-dimensional quantum walk, topological edge states
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