# Deterministic multi-mode nonlinear coupling for quantum circuits

## TL;DR

This paper introduces a deterministic method for implementing multi-mode nonlinear couplings in quantum circuits using measurement-induced techniques and resource states, applicable to microwave and optical modes.

## Contribution

It presents a general approach for deterministic multi-mode nonlinear coupling in quantum circuits, utilizing resource states and feed-forward operations, with practical generation methods discussed.

## Key findings

- Resource states for nonlinear coupling can be generated with current technology.
- The method enables deterministic multi-mode nonlinear interactions.
- Different resource state generation strategies impact the coupling implementation.

## Abstract

We present a general technique for deterministic implementation of a multi-mode nonlinear coupling between several propagating microwave or optical modes in quantum circuits. The measurement induced technique combines specifically prepared resource states together with feasible feed-forward operations. We explore several ways of generating the suitable resource states and discuss their difference on an illustrative example of cubic coupling between two modes. We also show that the required entangled states with requisite nonlinear properties can be already generated in the present day experiments.