Nicolás Quesada

We have shown that a simple optical circuit can be used to correct loss in the higher orders of the cat code, with higher-order cats showing significant improvements over their standard two-component (first-order) counterparts. For a channel with 1 dB of loss, the third-order cat requires 70 times fewer correction stages than a first-order cat, albeit at a 3.6 times increase in the required mean photon-number. This savings in resources requires the ability to generate these many-component states, for which little literature exists. Thus as a follow-up, we have begun developing a Kerr-based technique that transforms coherent states into many-component cat states relevant to our correction scheme.