Rydberg blockade based parity quantum optimization

TL;DR

This paper proposes a scalable quantum computing architecture using Rydberg atom hardware to solve complex binary optimization problems by encoding them as maximum-weight independent set problems on disk graphs.

Contribution

It introduces a novel architecture that encodes higher-order optimization problems as MWIS on disk graphs, compatible with current Rydberg atom hardware, enabling scalable quantum optimization.

Findings

Formulates higher-order problems as MWIS on disk graphs.

Provides a scalable, hardware-compatible quantum architecture.

Facilitates practical quantum optimization with current devices.

Abstract

We present a scalable architecture for solving higher-order constrained binary optimization problems on current neutral-atom hardware operating in the Rydberg blockade regime. In particular, we formulate the recently developed parity encoding of arbitrary connected higher-order optimization problems as a maximum-weight independent set (\textsf{MWIS}) problem on disk graphs, that are directly encodable on such devices. Our architecture builds from small \textsf{MWIS} modules in a problem-independent way, crucial for practical scalability.