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arXiv · 1909.09947

Error suppression in adiabatic quantum computing with qubit ensembles

Naeimeh Mohseni·Marek Narozniak·Alexey N. Pyrkov·Valentin Ivannikov·Jonathan P. Dowling·Tim Byrnes
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Abstract

Incorporating protection against quantum errors into adiabatic quantum computing (AQC) is an important task due to the inevitable presence of decoherence. Here we investigate an error-protected encoding of the AQC Hamiltonian, where qubit ensembles are used in place of qubits. Our Hamiltonian only involves total spin operators of the ensembles, offering a simpler route towards error-corrected quantum computing. Our scheme is particularly suited to neutral atomic gases where it is possible to realize large ensemble sizes and produce ensemble-ensemble entanglement. We identify a critical ensemble size $N_{\mathrm{c}}$ where the nature of the first excited state becomes a single particle perturbation of the ground state, and the gap energy is predictable by mean-field theory. For ensemble sizes larger than $N_{\mathrm{c}}$, the ground state becomes protected due to the presence of logically equivalent states and the AQC performance improves with $N$, as long as the decoherence rate is sufficiently low.

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Naeimeh Mohseni, Marek Narozniak, Alexey N. Pyrkov, Valentin Ivannikov, Jonathan P. Dowling, Tim Byrnes. 2019-09-22. Error suppression in adiabatic quantum computing with qubit ensembles. https://doi.org/10.1038/s41534-021-00405-2

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