Holographic simulation of correlated electrons on a trapped ion quantum
processor
- URL: http://arxiv.org/abs/2112.10810v3
- Date: Mon, 12 Sep 2022 19:49:23 GMT
- Title: Holographic simulation of correlated electrons on a trapped ion quantum
processor
- Authors: Daoheng Niu, Reza Haghshenas, Yuxuan Zhang, Michael Foss-Feig, Garnet
Kin-Lic Chan, Andrew C. Potter
- Abstract summary: We develop holographic quantum simulation techniques to prepare correlated electronic ground states in quantum product state (qMPS) form.
We show that GMP+X methods faithfully capture the physics of correlated electron states, including Mott insulators and correlated Luttinger liquid metals.
- Score: 13.128146097939263
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: We develop holographic quantum simulation techniques to prepare correlated
electronic ground states in quantum matrix product state (qMPS) form, using far
fewer qubits than the number of orbitals represented. Our approach starts with
a holographic technique to prepare a compressed approximation to electronic
mean-field ground-states, known as fermionic Gaussian matrix product states
(GMPS), with a polynomial reduction in qubit- and (in select cases gate-)
resources compared to existing techniques. Correlations are then introduced by
augmenting the GMPS circuits in a variational technique which we denote GMPS+X.
We demonstrate this approach on Quantinuum's System Model H1 trapped-ion
quantum processor for 1$d$ models of correlated metal and Mott insulating
states. Focusing on the $1d$ Fermi-Hubbard chain as a benchmark, we show that
GMPS+X methods faithfully capture the physics of correlated electron states,
including Mott insulators and correlated Luttinger liquid metals, using
considerably fewer parameters than problem-agnostic variational circuits.
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