# Reconfigurable cluster state generation in specially poled nonlinear waveguide arrays

## TL;DR

This paper introduces a novel on-chip method for generating reconfigurable photonic cluster states using specially poled nonlinear waveguides, enabling efficient quantum algorithms like Grover's search.

## Contribution

It presents a new on-chip cluster state generation technique with reconfigurable states via tailored nonlinear poling patterns for spatially encoded photonic quantum computing.

## Key findings

- Demonstrated improved practicality of cluster state algorithms with measurement basis changes
- Simulated Grover's search algorithm using the generated cluster states
- Showed rapid reconfiguration of cluster states by driving different waveguides

## Abstract

We present a new approach for generating cluster states on-chip, with the state encoded in the spatial component of the photonic wavefunction. We show that for spatial encoding, a change of measurement basis can improve the practicality of cluster state algorithm implementation, and demonstrate this by simulating Grover's search algorithm. Our state generation scheme involves shaping the wavefunction produced by spontaneous parametric down-conversion in on-chip waveguides using specially tailored nonlinear poling patterns. Furthermore the form of the cluster state can be reconfigured quickly by driving different waveguides in the array.