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arXiv · 2312.10544

Lattice Holography on a Quantum Computer

Ying-Ying Li·Muhammad Omer Sajid·Judah Unmuth-Yockey
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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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Ying-Ying Li, Muhammad Omer Sajid, Judah Unmuth-Yockey. 2023-12-16. Lattice Holography on a Quantum Computer. https://arxiv.org/abs/2312.10544

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