Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 24, 2022 | Submitted
Report Open

Holographic simulation of correlated electrons on a trapped ion quantum processor

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+U. We demonstrate this approach on Quantinuum's System Model H1 trapped-ion quantum processor for 1d 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.

Additional Information

Attribution-ShareAlike 4.0 International (CC BY-SA 4.0). We thank Itamar Kimchi, Roger Mong, and Michael Zaletel for insightful conversations. We acknowledge support from NSF award DMR-2038032 (YZ, AP), NSF-Converence Accelerator Track C award DMR- (DN, GKC), from the Alfred P. Sloan Foundation through a Sloan Research Fellowship (AP). RH was supported by the US Department of Energy, Office of Science, via Award No. DE-SC0019374. Additional support from GKC was provide by the Simons Collaboration on the Many-electron Problem and the Simons Investigatorship. This research was undertaken thanks, in part, to funding from the Max Planck-UBC-UTokyo Center for Quantum Materials and the Canada First Research Excellence Fund, Quantum Materials and Future Technologies Program. Numerical calculations were performed using supercomputing resources at the Texas Advanced Computing Center (TACC).

Attached Files

Submitted - 2112.10810.pdf

Files

2112.10810.pdf
Files (2.5 MB)
Name Size Download all
md5:55a43b1c931b34832762fc07a9e5e8bb
2.5 MB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 23, 2023