Configuration design of multimode Gaussian operations on continuous-variable quad-rail lattice cluster states

TL;DR

This paper presents a configuration design for implementing multimode Gaussian operations on continuous-variable quad-rail lattice cluster states, advancing their use in universal quantum computation.

Contribution

It introduces a concrete method to realize multimode Gaussian unitaries on the quad-rail lattice, enhancing the computational capabilities of these states.

Findings

Design of beamsplitter network operations on the cluster state

Configuration of multimode Gaussian unitaries

Facilitation of universal quantum computation with CV cluster states

Abstract

Continuous-variable quad-rail lattice cluster states enable flexible quantum circuit design on their two-dimensional structure. However, how to combine basic operations on the quad-rail lattice cluster state to realize multimode operations has not been deeply discussed. Here we show a concrete configuration design to efficiently implement beamsplitter network operations on the cluster state. Furthermore, combining the beamsplitter networks, a configuration design of multimode Gaussian unitary operations is also shown. It is theoretically known that the Gaussian operations are sufficient for universal quantum computation if appropriate non-Gaussian states are injected. Our results are fundamentally important for utilizing the flexible quad-rail lattice cluster states for computations.