Digital Quantum Simulation of Minimal AdS/CFT

TL;DR

This paper presents a method for simulating a minimal AdS/CFT model using digital quantum techniques on controllable quantum platforms, enabling exploration of quantum gravity phenomena.

Contribution

It introduces a digital quantum simulation approach for the Sachdev-Ye-Kitaev model, linking quantum computing with low-dimensional quantum gravity models.

Findings

Efficient encoding of fermionic operators onto qubits.

Protocol for probing non-equilibrium dynamics and information scrambling.

Feasibility of implementing the model on platforms like trapped ions and superconducting circuits.

Abstract

We propose the digital quantum simulation of a minimal AdS/CFT model in controllable quantum platforms. We consider the Sachdev-Ye-Kitaev model describing interacting Majorana fermions with randomly distributed all-to-all couplings, encoding nonlocal fermionic operators onto qubits to efficiently implement their dynamics via digital techniques. Moreover, we also give a method for probing non-equilibrium dynamics and the scrambling of information. Finally, our approach serves as a protocol for reproducing a simplified low-dimensional model of quantum gravity in advanced quantum platforms as trapped ions and superconducting circuits.