Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation

TL;DR

This paper demonstrates that the quantum dimer state on the Kagome lattice, realized with Rydberg atoms, can serve as a resource for universal measurement-based quantum computation, bridging experimental Rydberg systems and quantum computing.

Contribution

It provides an efficient encoding of logical qubits and explicit measurement sequences for universal quantum gates using the Kagome lattice dimer state.

Findings

Quantum dimer state on Kagome lattice enables universal quantum computation.

Experimental Rydberg setups can implement the necessary measurements.

The approach leverages existing technology for quantum information processing.

Abstract

We show that the quantum dimer state on the Kagome lattice, which was recently realized with high fidelity in a Rydberg quantum simulator [Semeghini et al., Science 374, 6572 (2021)], offers a sufficient resource for universal measurement-based quantum computations. In particular, we provide an efficient encoding of logical qubits in this state, and give explicit measurement sequences that implement a universal set of gates on these qubits. Since the building blocks of the proposed measurements have already been experimentally implemented, our work highlights one possible path towards promoting Rydberg simulators to universal quantum computers relying on the measurement-based model of quantum computation with currently existing technology.