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Cited by 50Topological Materials and PhenomenaQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomena

Edge-state-enhanced transport in a two-dimensional quantum walk

Open access
Asboth, Janos K., Edge, Jonathan M.·2015·Physical Review A
DOI 10.1103/physreva.91.022324
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Abstract

Quantum walks on translation-invariant regular graphs spread quadratically faster than their classical counterparts. The same coherence that gives them this quantum speedup inhibits or even stops their spread in the presence of disorder. We ask how to create an efficient transport channel from a fixed source site $(A)$ to fixed target site $(B)$ in a disordered two-dimensional discrete-time quantum walk by cutting some of the links. We show that the somewhat counterintuitive strategy of cutting links along a single line connecting $A$ to $B$ creates such a channel. The efficient transport along the cut is due to topologically protected chiral edge states, which exist even though the bulk Chern number in this system vanishes. We give a realization of the walk as a periodically driven lattice Hamiltonian and identify the bulk topological invariant responsible for the edge states as the quasienergy winding of this Hamiltonian.

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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 [32]

    The Introduction (p. 1) describes additional topology in both 1D and 2D quantum walks, and Section C (p. 7) identifies two topological invariants for a 2D walk. The paper supports the existence of varied topological features in 2D, but does not establish that 2D walks have a richer topological landscape than 1D walks. (LLM, conf=0.82)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 27

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Authors
Asboth, J. K., & Edge, J. M.
Affiliations
Nordic Institute for Theoretical Physics (SE)
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2015-02-19
Volume
91
Issue
2
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.91.022324
OpenAlex
W2143496717
Cited by
50
References
9
Citations by year
2026: 2 · 2025: 3 · 2024: 1 · 2023: 2 · 2022: 4 · 2021: 5 · 2020: 8 · 2019: 4 · 2018: 3 · 2017: 11 · 2016: 3 · 2015: 4
FWCI
3.56
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) (acceptedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • European Social Fund
  • Országos Tudományos Kutatási Alapprogramok (K83858, NN109651)
  • Magyar Tudományos Akadémia (LP2011-016)
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 and electron transport phenomena
Keywords
quantum walks, disordered systems, chiral edge states, topological protection, transport channels, Chern number, two-dimensional quantum walk

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