# Generation of NOON states in waveguide arrays

## TL;DR

This paper proposes a method to generate three-photon NOON states using a three-waveguide array, employing conditional measurements to project the desired quantum state, and simplifies the system to two-field interactions.

## Contribution

It introduces a novel approach to produce NOON states with three photons in waveguide arrays, including a reduction to two-field interactions for simplicity.

## Key findings

- Successful generation of three-photon NOON states.
- Reduction of three-field interaction to two-field interaction.
- Potential applications in quantum information processing.

## Abstract

We present a method to generate NOON states with three photons by injecting photons in an array of three waveguides. Conditional measurements project the wave function in a given (desired) state. In passing, we show how the array of three waveguides, that effectively reproduces the interaction of three fields, may be reduced to the interaction of two fields.