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https://hdl.handle.net/10356/84295
Title: | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity | Authors: | Kyaw, Thi Ha Kwek, Leong-Chuan |
Keywords: | Measurement-based Quantum Computation Cluster States |
Issue Date: | 2018 | Source: | Kyaw, T. H., & Kwek, L.-C. (2018). Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity. New Journal of Physics, 20(4), 045007-. | Series/Report no.: | New Journal of Physics | Abstract: | We propose a mean to obtain computationally useful resource states also known as cluster states, for measurement-based quantum computation, via transitionless quantum driving algorithm. The idea is to cool the system to its unique ground state and tune some control parameters to arrive at computationally useful resource state, which is in one of the degenerate ground states. Even though there is set of conserved quantities already present in the model Hamiltonian, which prevents the instantaneous state to go to any other eigenstate subspaces, one cannot quench the control parameters to get the desired state. In that case, the state will not evolve. With involvement of the shortcut Hamiltonian, we obtain cluster states in fast-forward manner. We elaborate our proposal in the one-dimensional Kitaev honeycomb model, and show that the auxiliary Hamiltonian needed for the counterdiabatic driving is of M-body interaction. | URI: | https://hdl.handle.net/10356/84295 http://hdl.handle.net/10220/45107 |
ISSN: | 1367-2630 | DOI: | 10.1088/1367-2630/aab315 | Organisations: | MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit | Research Centres: | Institute of Advanced Studies | Rights: | © 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
Appears in Collections: | IAS Journal Articles |
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Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity.pdf | 443.07 kB | Adobe PDF | View/Open |
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