Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic simulation of correlated electrons on a trapped ion quantum
  processor   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+U.
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+U 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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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph