# Adiabatic Fock state generation scheme using Kerr nonlinearity

## TL;DR

This paper presents a theoretical method for generating specific photon number states in a Kerr cavity through adiabatic control, with scalability and experimental feasibility analyzed.

## Contribution

It introduces a novel adiabatic scheme for deterministic Fock state generation in Kerr cavities, including scalability analysis and experimental feasibility considerations.

## Key findings

- Generation time scales as the square root of photon number.
- Requirements for Kerr nonlinearity are compatible with current superconducting circuit technology.
- The scheme is potentially realizable with existing microwave circuit technology.

## Abstract

We propose a theoretical scheme to deterministically generate Fock states in a Kerr cavity thorough adiabatic variation of the driving field strength and the cavity detuning. We show that the required time to generate a $n$-photon Fock state scales as the square root of $n$. Requirements for the Kerr coefficient relative to the system decoherence rate are provided as a function of desired state fidelity, indicating that the scheme is potentially realizable with the present state of the art in microwave superconducting circuits.