Generation of large Fock states from coherent states using Kerr interaction and displacement

TL;DR

This paper proposes a feasible scheme combining Kerr interaction and displacement to generate large Fock states with high fidelity, applicable in circuit QED and cavity fields.

Contribution

It introduces a novel method for producing large Fock states using a specific sequence of Kerr and displacement operations, optimized for experimental implementation.

Findings

Achieves near-unity fidelity in Fock state generation.

Identifies optimal parameters for Kerr strength and pulse timing.

Demonstrates feasibility in circuit QED architectures.

Abstract

We discuss a scheme to generate large Fock states. The scheme involves repeatedly applying an experimentally feasible unitary transformation to convert a semiclassical state into a Fock state. The transformation combines Kerr interaction, which is a non-Gaussian operation, and pulsed coherent drives. We identify suitable parameter values (Kerr strength, pulse timings, displacement amplitude) for the physical processes to implement the transformation and generate large Fock states with near-unity fidelity. The feasibility of implementing the scheme in circuit QED architectures is discussed. The method is also suitable for generating Fock states of cavity fields.