Lattice Holography on a Quantum Computer

• URL: http://arxiv.org/abs/2312.10544v1
• Date: Sat, 16 Dec 2023 21:48:24 GMT
• Title: Lattice Holography on a Quantum Computer
• Authors: Ying-Ying Li, Muhammad Omer Sajid, Judah Unmuth-Yockey
• Abstract summary: We compute the ground state of a spin system on a $(2+1)$-dimensional hyperbolic lattice. We observe that with achievable resources for coming quantum devices, the correlation function demonstrates an approximate scale-invariant behavior.
• Score: 10.205744392217532
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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