Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity

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 auxillary Hamiltonian needed for the counterdiabatic driving is of M-body interaction.

13 pages, 3 figures. Added detailed derivation to arrive at the shortcut Hamiltonian plus numerical simulations. Invited manuscript to be appeared in Focus on Shortcuts to Adiabaticity, NJP (IOP)

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Cited by in corpus (7)

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• Focus on Shortcuts to Adiabaticity
• Counterdiabatic Optimised Local Driving
• Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing
• Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities
• Counterdiabatic route for preparation of state with long-range topological order
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models