# Engineering quantum operations on traveling light beams by multiple photon addition and subtraction

## TL;DR

This paper presents an optical scheme using photon addition and subtraction to probabilistically implement arbitrary single-mode quantum operations, enabling tasks like noiseless amplification and Kerr nonlinearity emulation with current technology.

## Contribution

It introduces a novel scheme combining photon addition and subtraction for flexible quantum operations on traveling light beams, expanding capabilities in quantum optics.

## Key findings

- Successfully demonstrates approximate noiseless linear amplification.
- Emulates Kerr nonlinearity using the proposed scheme.
- Feasible with current optical technology.

## Abstract

We propose and investigate an optical scheme for probabilistic implementation of an arbitrary single-mode quantum operation that can be expressed as a function of photon number operator. The scheme coherently combines multiple photon addition and subtraction and is feasible with current technology. As concrete examples, we demonstrate that the device can perform approximate noiseless linear amplification of light and can emulate Kerr nonlinearity.