Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity. (19th April 2018)

• Record Type: Journal Article
• Authors: Kyaw, Thi Ha; Kwek, Leong-Chuan
• Is Part Of: New journal of physics. Volume 20:Number 4(2018:Apr.)
• Publication Date: 2018-04-19
• Subjects: measurement-based quantum computation -- cluster states -- transitionless quantum driving algorithm; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aab315
• Languages: English
• ISSNs: 1367-2630

Abstract

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.