Topological networks for quantum communication between distant qubits
Open accessAbstract
Efficient communication between qubits relies on robust networks, which allow for fast and coherent transfer of quantum information. It seems natural to harvest the remarkable properties of systems characterized by topological invariants to perform this task. Here, we show that a linear network of coupled bosonic degrees of freedom, characterized by topological bands, can be employed for the efficient exchange of quantum information over large distances. Important features of our setup are that it is robust against quenched disorder, all relevant operations can be performed by global variations of parameters, and the time required for communication between distant qubits approaches linear scaling with their distance. We demonstrate that our concept can be extended to an ensemble of qubits embedded in a two-dimensional network to allow for communication between all of them.
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When appropriately stacked into three dimensions, the corner modes give rise to chiral one-dimensional modes along edges of the three-dimensional sample.
“When appropriately stacked into three dimensions, the corner modes give rise to chiral one dimensional modes along edges of the three dimensional sample.”
From Observation of a phononic quadrupole topological insulator (2018) · cites this paper as [25]
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<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
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
Klitzing, K. V., Dorda, G., & Pepper, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.494 · Cited by 7,119 · see citing works
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861 · see citing works
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783 · see citing works
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151 · see citing works
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,789 · see citing works
Two-Dimensional Magnetotransport in the Extreme Quantum Limit
Tsui, D. C., Stormer, H. L., & Gossard, A. C. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.1559 · Cited by 4,788 · 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
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · see citing works
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322 · see citing works
The nitrogen-vacancy colour centre in diamond
Doherty, M. W., Manson, N. B., Delaney, P., Jelezko, F., Wrachtrup, J., & Hollenberg, L. C. L. (2013) · Physics Reports · doi:10.1016/j.physrep.2013.02.001 · Cited by 2,866 · see citing works
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787 · see citing works
Quantized Hall conductivity in two dimensions
Laughlin, R. B. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.23.5632 · Cited by 2,478 · see citing works
Unpaired majorana fermions in quantum wiresPreprint
Kitaev, A. Y. (2000) · Cited by 2,407 · see citing works
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
Altland, A., & Zirnbauer, M. R. (1997) · Physical Review B · doi:10.1103/physrevb.55.1142 · Cited by 2,402 · see citing works
Topological insulators and superconductors: tenfold way and dimensional hierarchy
Ryu, S., Schnyder, A. P., Furusaki, A., & Ludwig, A. W. W. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065010 · Cited by 2,320 · see citing works
Experimental realization of the topological Haldane model with ultracold fermions
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., & Esslinger, T. (2014) · Nature · doi:10.1038/nature13915 · Cited by 2,164 · see citing works
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 2,029 · see citing works
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950 · see citing works
Periodic table for topological insulators and superconductors
Kitaev, A., Lebedev, V., & Feigel’man, M. (2009) · AIP conference proceedings · doi:10.1063/1.3149495 · Cited by 1,916 · see citing works
Imaging topological edge states in silicon photonics
Hafezi, M., Mittal, S., Fan, J., Migdall, A., & Taylor, J. M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.274 · Cited by 1,715 · see citing works
Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
Lukin, M. D., Fleischhauer, M., Côté, R., Duan, L.-M., Jaksch, D., Cirac, J. I., & Zoller, P. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.037901 · Cited by 1,614 · see citing works
On the Distribution of the Roots of Certain Symmetric Matrices
Wigner, E. P. (1958) · Annals of Mathematics · doi:10.2307/1970008 · Cited by 1,523 · see citing works
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466 · see citing works
The finite group velocity of quantum spin systems
Lieb, E. H., & Robinson, D. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645779 · Cited by 1,463 · see citing works
3 The nitrogen-vacancy colour centre in diamondPreprint
Doherty, M. W., Manson, B. N. B., Delaney, B. P., Jelezko, F., Wrachtrupe, D. J., & Hollenberg, L. C. L. (2013) · Cited by 1,158 · see citing works
Observation of an even-denominator quantum number in the fractional quantum Hall effect
Willett, R., Eisenstein, J. P., Störmer, H. L., Tsui, D. C., Gossard, A. C., & English, J. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1776 · Cited by 1,135 · see citing works
On-chip quantum simulation with superconducting circuits
Houck, A. A., Türeci, H. E., & Koch, J. (2012) · Nature Physics · doi:10.1038/nphys2251 · Cited by 1,069 · see citing works
Periodic table for topological insulators and superconductorsPreprint
Kitaev, A. (2009) · Cited by 1,063 · see citing works
Direct measurement of the Zak phase in topological Bloch bands
Atala, M., Aidelsburger, M., Barreiro, J. T., Abanin, D. A., Kitagawa, T., Demler, E., & Bloch, I. (2013) · Nature Physics · doi:10.1038/nphys2790 · Cited by 1,010 · see citing works
Observation of phononic helical edge states in a mechanical topological insulator
Süsstrunk, R., & Huber, S. D. (2015) · Science · doi:10.1126/science.aab0239 · Cited by 986 · see citing works
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
Aidelsburger, M., Lohse, M., Schweizer, C., Atala, M., Barreiro, J. T., Nascimbène, S., Cooper, N. R., Bloch, I., & Goldman, N. (2014) · Nature Physics · doi:10.1038/nphys3171 · Cited by 963 · see citing works
Topological Phononic Crystals with One-Way Elastic Edge Waves
Wang, P., Lü, L., & Bertoldi, K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.104302 · Cited by 846 · see citing works
Topological boundary modes in isostatic lattices
Kane, C. L., & Lubensky, T. C. (2013) · Nature Physics · doi:10.1038/nphys2835 · Cited by 798 · see citing works
Topological mechanics of gyroscopic metamaterials
Nash, L. M., Kleckner, D., Read, A., Vitelli, V., Turner, A. M., & Irvine, W. T. M. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1507413112 · Cited by 791 · see citing works
Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
Mancini, M., Pagano, G., Cappellini, G., Livi, L., Rider, M., Catani, J., Sias, C., Zoller, P., Inguscio, M., Dalmonte, M., et al. (2015) · Science · doi:10.1126/science.aaa8736 · Cited by 704 · see citing works
The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
Dyson, F. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703863 · Cited by 671 · see citing works
A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice
Lohse, M., Schweizer, C., Zilberberg, O., Aidelsburger, M., & Bloch, I. (2015) · Nature Physics · doi:10.1038/nphys3584 · Cited by 668 · see citing works
Visualizing edge states with an atomic Bose gas in the quantum Hall regime
Stuhl, B., Lu, H.-I., Aycock, L., Genkina, D., & Spielman, I. B. (2015) · Science · doi:10.1126/science.aaa8515 · Cited by 642 · see citing works
On the statistical distribution of the widths and spacings of nuclear resonance levels
Wigner, E. P. (1951) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100027237 · Cited by 556 · see citing works
<i>Colloquium</i>: Quantum networks with trapped ions
Duan, L.-M., & Monroe, C. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1209 · Cited by 530 · see citing works
Xu, Y., Miotkowski, I., Liu, C., Tian, J., Nam, H., Alidoust, N., Hu, J., Shih, C.-K., Hasan, M. Z., & Chen, Y. P. (2014) · Nature Physics · doi:10.1038/nphys3140 · Cited by 430 · see citing works
Time-reversal-symmetry breaking in circuit-QED-based photon lattices
Koch, J., Houck, A., Hur, K. L., & Girvin, S. M. (2010) · Physical Review A · doi:10.1103/physreva.82.043811 · Cited by 395 · see citing works
Bounds for the adiabatic approximation with applications to quantum computation
Jansen, S., Ruskai, M.-B., & Seiler, R. (2007) · Journal of Mathematical Physics · doi:10.1063/1.2798382 · Cited by 385 · see citing works
Classification of Topological Insulators and Superconductors
Schnyder, A. P., Ryu, S., Furusaki, A., Ludwig, A. W. W., Lebedev, V., & Feigel’man, M. V. (2009) · AIP conference proceedings · doi:10.1063/1.3149481 · Cited by 372 · see citing works
Time- and Site-Resolved Dynamics in a Topological Circuit
Jia, N., Owens, C., Sommer, A., Schuster, D., & Simon, J. (2015) · Physical Review X · doi:10.1103/physrevx.5.021031 · Cited by 365 · see citing works
Fractional Quantization of the Hall Effect
Stormer, H. L., Chang, A. M., Tsui, D. C., Hwang, J. C. M., Gossard, A. C., & Wiegmann, W. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1953 · Cited by 319 · see citing works
Theory of Hall Effect in a Two-Dimensional Electron System
Ando, T., Matsumoto, Y., & Uemura, Y. (1975) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.39.279 · Cited by 298 · see citing works
An Aharonov-Bohm interferometer for determining Bloch band topology
Duca, L., Li, T., Reitter, M., Bloch, I., Schleier-Smith, M., & Schneider, U. (2014) · Science · doi:10.1126/science.1259052 · Cited by 261 · see citing works
Bounds for the adiabatic approximation with applications to quantum computationPreprint
Jansen, S., Ruskai, M. B., & Seiler, R. (2006) · Cited by 217 · see citing works
Manipulation of Dirac Cones in Mechanical Graphene
Kariyado, T., & Hatsugai, Y. (2015) · Scientific Reports · doi:10.1038/srep18107 · Cited by 156 · see citing works
Topological edge plasmon modes between diatomic chains of plasmonic nanoparticles
Ling, C. W., Xiao, M., Chan, C. T., Yu, S. F., & Fung, K. H. (2015) · Optics Express · doi:10.1364/oe.23.002021 · Cited by 146 · see citing works
Coriolis force induced topological order for classical mechanical vibrations
Wang, Y., Luan, P., & Zhang, S. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/7/073031 · Cited by 145 · see citing works
Topologically protected quantum state transfer in a chiral spin liquid
Yao, N. Y., Laumann, C. R., Gorshkov, A. V., Weimer, H., Jiang, L., Cirac, J. I., Zoller, P., & Lukin, M. D. (2013) · Nature Communications · doi:10.1038/ncomms2531 · Cited by 102 · see citing works
Robust quantum state transfer via topologically protected edge channels in dipolar arrays
Dlaska, C., Vermersch, B., & Zoller, P. (2017) · Quantum Science and Technology · doi:10.1088/2058-9565/2/1/015001 · Cited by 76 · see citing works
Topological bands with a Chern number C=2 by dipolar exchange interactions
Peter, D., Yao, N. Y., Lang, N., Huber, S. D., Lukin, M. D., & Büchler, H. P. (2015) · Physical Review A · doi:10.1103/physreva.91.053617 · Cited by 67 · see citing works
Self-citationCoriolis Force Induced Quantum Hall Effect for PhononsPreprint
Wang, Y., Luan, P., & Zhang, S. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1411.2806 · Cited by 52 · see citing works
Resonant quantum gates in circuit quantum electrodynamics
Haack, G., Helmer, F., Mariantoni, M., Marquardt, F., & Solano, E. (2010) · Physical Review B · doi:10.1103/physrevb.82.024514 · Cited by 50 · see citing works
Topological phonon modes in filamentary structures
Berg, N., Joel, K., Koolyk, M., & Prodan, E. V. (2011) · Physical Review E · doi:10.1103/physreve.83.021913 · Cited by 34 · see citing works
Topological photonic bands in two-dimensional networks of metamaterial elements
Yannopapas, V. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/11/113017 · Cited by 31 · see citing works
Switchable topological phonon channels
Süsstrunk, R., Zimmermann, P., & Huber, S. D. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa591c · Cited by 24 · see citing works
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Observation of a phononic quadrupole topological insulator
Serra-Garcia, M., Peri, V., Süsstrunk, R., Bilal, O. R., Larsen, T., Villanueva, L. G., & Huber, S. D. (2018) · Nature · doi:10.1038/nature25156 · Cited by 982 · see citing works
- Authors
- Lang, N., & Büchler, H. P.
- Affiliations
- University of Stuttgart (DE)
- Corresponding author
- Lang, Nicolai
- Venue
- npj Quantum Information
- Published
- 2017-11-07
- Volume
- 3
- Issue
- 1
- ISSN
- 2056-6387 (ISSN-L)
- OpenAlex
- W2618467439
- Cited by
- 78
- References
- 63
- Citations by year
- 2026: 8 · 2025: 15 · 2024: 9 · 2023: 14 · 2022: 8 · 2021: 10 · 2020: 5 · 2019: 3 · 2018: 6
- FWCI
- 2.29
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- npj Quantum Information (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (PHY11- 25915, NSF PHY-11-25915, 1125915)
- European Commission (HORIZON2020)
- H2020 European Research Council (681208)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- topological networks, quantum communication, topological bands, quenched disorder, topological invariants
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