Lattice holography on a quantum computer

Li, Ying-Ying; Sajid, Muhammad Omer; Unmuth-Yockey, Judah

doi:10.1103/PhysRevD.110.034507

Lattice holography on a quantum computer

Journal Article · Tue Aug 06 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.034507· OSTI ID:2427077

; Sajid, Muhammad Omer; Unmuth-Yockey, Judah

We explore the potential application of quantum computers to the examination of lattice holography, which extends to the strongly coupled bulk theory regime. With adiabatic evolution, we compute the ground state of a spin system on a ( $2 + 1$ )-dimensional hyperbolic lattice, and measure the spin-spin correlation function on the boundary. Notably, we observe that with achievable resources for coming quantum devices, the correlation function demonstrates an approximate scale-invariant behavior, aligning with the pivotal theoretical predictions of the anti–de Sitter/conformal field theory correspondence.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359; FG02-00ER41132

OSTI ID:: 2427077

Alternate ID(s):: OSTI ID: 2332999

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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