# 3-Wave Mixing Josephson Dipole Element

## TL;DR

This paper introduces a novel dipole circuit element with third-order nonlinearity for three-wave mixing, enabling efficient quantum operations and amplification, with experimental validation of a non-degenerate amplifier based on this element.

## Contribution

The paper presents a new pure three-wave dipole element with third-order nonlinearity, simplifying the design of quantum amplifiers and allowing tessellation for enhanced performance.

## Key findings

- Demonstrated a non-degenerate amplifier using the new element
- Achieved efficient three-wave mixing with the dipole circuit
- Validated the element's potential for scalable quantum operations

## Abstract

Parametric conversion and amplification based on three-wave mixing are powerful primitives for efficient quantum operations. For superconducting qubits, such operations can be realized with a quadrupole Josephson junction element, the Josephson Ring Modulator (JRM), which behaves as a loss-less three-wave mixer. However, combining multiple quadrupole elements is a difficult task so it would be advantageous to have a pure three-wave dipole element that could be tessellated for increased power handling and/or information throughput. Here, we present a dipole circuit element with third-order nonlinearity, which implements three-wave mixing. Experimental results for a non-degenerate amplifier based on the proposed pure third-order nonlinearity are reported.