Adiabatic Cluster State Quantum Computing

Abstract

Models of quantum computation are important because they change the physical requirements for achieving universal quantum computation (QC). For example, one-way QC requires the preparation of an entangled "cluster" state followed by adaptive measurement on this state, a set of requirements which is different from the standard quantum circuit model. Here we introduce a model based on one-way QC but without measurements (except for the final readout), instead using adiabatic deformation of a Hamiltonian whose initial ground state is the cluster state. This opens the possibility to use the copious results from one-way QC to build more feasible adiabatic schemes.

4 pages, v2 fixes sign error and typos

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• Making Classical Ground State Spin Computing Fault-Tolerant
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• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
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• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Duality in spin systems via the $SU(4)$ algebra
• A digital quantum simulator in the presence of a bath