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arXiv · 1807.02053

Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

Andreas Hartmann·Wolfgang Lechner
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Abstract

We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol. We make use of a variational method to find approximate counter-diabatic Hamiltonians that has recently been introduced by Sels and Polkovnikov [Proc. Natl. Acad. Sci. 114, 3909 (2017)]. The resulting additional terms in our protocol are time-dependent local on-site y-magnetic fields. These additional Hamiltonian terms do not increase the minimal energy gap, but instead rely on coherent phase maximization. A single free parameter is introduced which is optimized via classical updates. The protocol consists only of local and nearest-neighbor terms which makes it attractive for implementations in near term experiments.

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Andreas Hartmann, Wolfgang Lechner. 2018-07-05. Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing. https://doi.org/10.1088/1367-2630/ab14a0

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