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arXiv · 1807.10379

Proof of efficient, parallelized, universal adiabatic quantum computation

Ari Mizel
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Abstract

We give a careful proof that a parallelized version of adiabatic quantum computation can efficiently simulate universal gate model quantum computation. The proof specifies an explicit parameter-dependent Hamiltonian $H({\lambda})$ that is based on ground state quantum computation [1]. We treat both a 1-dimensional configuration in which qubits on a line undergo nearest neighbor 2-qubit gates and an all-to-all configuration in which every qubit undergoes 2-qubit gates with every other qubit in the system.

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Ari Mizel. 2018-07-26. Proof of efficient, parallelized, universal adiabatic quantum computation. https://doi.org/10.1103/physreva.99.022311

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