Temporal-mode continuous-variable cluster states using linear optics

TL;DR

This paper proposes an extensible optical setup for creating large-scale continuous-variable cluster states using temporal modes, leveraging Gaussian projected entangled pair states for scalability and stability.

Contribution

It introduces a novel experimental design that simplifies the generation of large continuous-variable cluster states with finite coherence requirements.

Findings

Design uses four offline squeezers and six beamsplitters.

Method maintains stability as the computation length increases.

Potential integration into fault-tolerant quantum computing models.

Abstract

I present an extensible experimental design for optical continuous-variable cluster states of arbitrary size using four offline (vacuum) squeezers and six beamsplitters. This method has all the advantages of a temporal-mode encoding [Phys. Rev. Lett. 104, 250503], including finite requirements for coherence and stability even as the computation length increases indefinitely, with none of the difficulty of inline squeezing. The extensibility stems from a construction based on Gaussian projected entangled pair states (GPEPS). The potential for use of this design within a fully fault tolerant model is discussed.