Resource-efficient photonic quantum computation with high-dimensional cluster states

TL;DR

This paper demonstrates a resource-efficient approach to photonic quantum computation by encoding multiple qubits per photon using high-dimensional spatial encoding, enabling faster and larger cluster states.

Contribution

It introduces high-dimensional spatial encoding to generate large cluster states at higher rates, reducing computation time and resource requirements.

Findings

Generated over nine-qubit cluster states at 100Hz

High-dimensional encoding enables instantaneous feedforward within a photon

Significantly reduces resource and time costs for quantum computation

Abstract

Quantum computers can revolutionize science and technology, but their realization remains challenging across all platforms. A promising route to scalability is photonic measurement-based quantum computation, where single-qubit measurements on large cluster states, together with feedforward, enable fault-tolerant quantum computation. However, generating large cluster states at high rates is notoriously difficult, as detection probabilities drop exponentially with the number of photons comprising the state. We tackle this challenge by encoding multiple qubits on each photon through high-dimensional spatial encoding, generating cluster states with over nine qubits at a rate of 100Hz. Additionally, we demonstrate that high-dimensional encoding substantially reduces the computation duration by enabling instantaneous feedforward between qubits encoded in the same photon. Our findings pave the way for resource-efficient measurement-based quantum computation using high-dimensional entanglement.