Fermionic Correlation Functions from Randomized Measurements in Programmable Atomic Quantum Devices
Abstract
We provide an efficient randomized measurement protocol to estimate two- and four-point fermionic correlations in ultracold atom experiments. Our approach is based on combining random atomic beam splitter operations, which can be realized with programmable optical landscapes, with high-resolution imaging systems such as quantum gas microscopes. We illustrate our results in the context of the variational quantum eigensolver algorithm for solving quantum chemistry problems.
Copyright and License
© 2023 American Physical Society.
Acknowledgement
We thank A. Rath, R. V. Bijnen, J. Carrasco, and C. Kokail for valuable discussions. Work in Innsbruck has been supported by the European Union's Horizon 2020 research and innovation programme under Grant Agreement No. 817482 (Pasquans), by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, P. Z.), and by LASCEM via AFOSR No. 64896-PH-QC. A. E. acknowledges funding by the German National Academy of Sciences Leopoldina under the Grant No. LPDS 2021-02 and by the Walter Burke Institute for Theoretical Physics at Caltech. B. V. and A. M. acknowledge funding from the French National Research Agency (ANR-20-CE47-0005, JCJC project QRand). P. N. and B. V. acknowledge funding from the Austrian Science Foundation (FWF, P 32597 N). B. V. and D. C. acknowledge funding from the France 2030 programs of the French National Research Agency [BV:EPIQ (ANR-22-PETQ-0007), and DC/BV:QUBITAF (ANR-22-PETQ-0004)]. D. C. acknowledges support from the Agence Nationale pour la Recherche (Grant No. ANR-17-CE30-0020-01) and the "Fondation d'entreprise iXcore pour la recherche."
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Additional details
- ISSN
- 1079-7114
- European Research Council
- 817482
- Simons Foundation
- 651440
- United States Air Force Office of Scientific Research
- 64896-PH-QC
- German National Academy of Sciences Leopoldina
- LPDS 2021-02
- Walter Burke Institute for Theoretical Physics
- Agence Nationale de la Recherche
- ANR-20-CE47-0005
- FWF Austrian Science Fund
- P 32597 N
- Agence Nationale de la Recherche
- ANR-22-PETQ-0007
- Agence Nationale de la Recherche
- ANR-22-PETQ-0004
- Agence Nationale de la Recherche
- ANR-17-CE30-0020-01
- Fondation d'entreprise iXcore pour la recherche
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter