Mode-selective single-photon addition to a multimode quantum field

TL;DR

This paper presents a comprehensive framework for mode-selective single-photon addition in multimode quantum light, enabling targeted non-Gaussian operations crucial for high-dimensional quantum information processing.

Contribution

It introduces analytical conditions for mode-selective photon addition and demonstrates spectral mode selectivity in specific parametric down conversion configurations.

Findings

Spectral mode selectivity achieved in Type-II collinear down conversion.

Single-mode photon addition conditions identified for noncollinear processes.

Numerical analysis at near-infrared and telecom wavelengths confirms feasibility.

Abstract

Spectro-temporal modes of light can be exploited for the generation of high-dimensional Gaussian quantum states. Such states are at the basis of continuous variable quantum information protocols where they have to support mode-selective non-Gaussian operations. We develop a general framework for single-photon addition on multimode states of light via parametric down conversion processes. We identify the analytical conditions for single-mode and mode-selective photon addition. We show that spectral mode selectivity can be achieved in the Type-II collinear down conversion, while single-mode condition are retrieved for noncollinear Type-I and Type-II processes. Numerical results are shown for photon addition in parametric down conversion process at near-infrared and telecommunications wavelengths.