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Title: Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity
Authors: Kyaw, T.H 
Kwek, L.-C 
Keywords: Ground state
Honeycomb structures
Quantum computers
Cluster state
Conserved quantity
Control parameters
Fast forward
Honeycomb models
Measurement-based quantum computation
Model Hamiltonians
Quantum theory
Issue Date: 2018
Publisher: Institute of Physics Publishing
Citation: 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) : 45007. ScholarBank@NUS Repository.
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. © 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
ISSN: 1367-2630
DOI: 10.1088/1367-2630/aab315
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