Towards Quantum Advantage in Sparsified Bosonic SYK Models

TL;DR

This paper explores the potential for quantum advantage in sparsified bosonic SYK models by studying their simulation on classical and quantum hardware, highlighting challenges in simulating chaotic systems.

Contribution

It introduces the concept of sparsifying bosonic SYK models and investigates their quantum simulation, emphasizing the complexities involved in simulating highly chaotic quantum systems.

Findings

Sparsification of bosonic SYK models as a promising approach for quantum advantage

Initial studies on classical and quantum simulations of these models

Identification of challenges in simulating chaotic quantum systems

Abstract

We advocate the sparsification of bosonic SYK models as a promising arena for the exploration of quantum advantage. We initiate the study of quantum simulations of the models, both in classical simulators and on quantum devices implemented using superconducting qubits. We point out subtleties in the quantum simulations of highly chaotic systems, which should be addressed in the future search for quantum advantage.