Qubits as Edge State Detectors: Illustration Using the SSH Model
641
chain: an edge state causes decoherence to remain high independent of chain length,
whereas in the absence of an edge state decoherence decreases exponentially with
chain length. This suggests using a TLS as a sort of edge state detector.
Acknowledgments This work was supported in part by the Natural Science and Engineering
Research Council of Canada and by the Fonds de Recherche Nature et Technologies du Québec via
the INTRIQ strategic cluster grant. RM is grateful for the hospitality of Perimeter Institute where
part of this work was carried out. Research at Perimeter Institute is supported by the Government
of Canada through the Department of Innovation, Science and Economic Development and by the
Province of Ontario through the Ministry of Research, Innovation and Science.
References
1. H. Eleuch, M. Hilke, R. MacKenzie, Probing Anderson localization using the dynamics of a
qubit. Phys. Rev. A 95, 062114 (2017)
2. W.P. Su, J.R. Schrieffer, A.J. Heeger, Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698 (1979)
3. M.Z. Hasan, C.L. Kane, Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045 (2010)
4. P. Delplace, D. Ullmo, G. Montambaux, Phys. Rev. B 84, 195452 (2011)
5. J.K. Asbóth, L. Oroszlány, A. Pályi, A Short Course on Topological Insulators. Lecture Notes
in Physics, vol. 919 (Springer International Publishing, Cham, 2016)
6. C. Duncan, P. Öhberg, M. Valiente, Phys. Rev. B 97, 195439 (2018)
7. M. Zaimi, C. Boudreault, N. Baspin, H. Eleuch, R. MacKenzie, M. Hilke (2019).
arXiv:1910.09926 [cond-mat.mes-hall]
8. S. Datta, Quantum Transport: Atom to Transistor (Cambridge University Press, Cambridge,
2005)
641
chain: an edge state causes decoherence to remain high independent of chain length,
whereas in the absence of an edge state decoherence decreases exponentially with
chain length. This suggests using a TLS as a sort of edge state detector.
Acknowledgments This work was supported in part by the Natural Science and Engineering
Research Council of Canada and by the Fonds de Recherche Nature et Technologies du Québec via
the INTRIQ strategic cluster grant. RM is grateful for the hospitality of Perimeter Institute where
part of this work was carried out. Research at Perimeter Institute is supported by the Government
of Canada through the Department of Innovation, Science and Economic Development and by the
Province of Ontario through the Ministry of Research, Innovation and Science.
References
1. H. Eleuch, M. Hilke, R. MacKenzie, Probing Anderson localization using the dynamics of a
qubit. Phys. Rev. A 95, 062114 (2017)
2. W.P. Su, J.R. Schrieffer, A.J. Heeger, Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698 (1979)
3. M.Z. Hasan, C.L. Kane, Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045 (2010)
4. P. Delplace, D. Ullmo, G. Montambaux, Phys. Rev. B 84, 195452 (2011)
5. J.K. Asbóth, L. Oroszlány, A. Pályi, A Short Course on Topological Insulators. Lecture Notes
in Physics, vol. 919 (Springer International Publishing, Cham, 2016)
6. C. Duncan, P. Öhberg, M. Valiente, Phys. Rev. B 97, 195439 (2018)
7. M. Zaimi, C. Boudreault, N. Baspin, H. Eleuch, R. MacKenzie, M. Hilke (2019).
arXiv:1910.09926 [cond-mat.mes-hall]
8. S. Datta, Quantum Transport: Atom to Transistor (Cambridge University Press, Cambridge,
2005)