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Trapped Ion Quantum Computing

The quantum Gaussian process state: A kernel-inspired state with quantum support data

arXiv
Authors: Yannic Rath, George H. Booth

Year

2021

Paper ID

41445

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

We introduce the quantum Gaussian process state, motivated via a statistical inference for the wave function supported by a data set of unentangled product states. We show that this condenses down to a compact and expressive parametric form, with a variational flexibility shown to be competitive or surpassing established alternatives. The connections of the state to its roots as a Bayesian inference machine as well as matrix product states, also allow for efficient deterministic training of global states from small training data with enhanced generalization, including on application to frustrated spin physics.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We introduce the quantum Gaussian process state, motivated via a statistical inference for the wave function supported by a data set of unentangled product states.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.10353 [2] arXiv https://arxiv.org/abs/2111.10353 [3] Publisher https://arxiv.org/abs/2111.10353

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