Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity

TL;DR

This paper proposes a method to generate high-dimensional entangled qudits, both symmetric and asymmetric, using weak cross-Kerr nonlinearity and heralded by single-photon detection, feasible with current technology.

Contribution

It introduces a novel scheme for generating arbitrary entangled qudits with weak nonlinearity, expanding capabilities for quantum information processing.

Findings

Generation probability is 1/n^M for successful events.

Schemes work with nonresolving photon detectors.

Feasible with current experimental technology.

Abstract

High dimensional entangled states have attracted much more attentions, due to their strong nonlocality and much powerful capability for quantum information processing. By the methods presented in this paper, arbitrary forms entangled qudits including symmetric and asymmetric forms could be generated with the weak cross-Kerr nonlinearity. These schemes are heralded by the detections of single-photon detectors. If all the detectors do not register any single photons, the generation is success with the probability $1/n^{M}$ determined by dimension $n$ and partite $M$. Furthermore, these schemes work well even with the common photon number nonresolving detectors, therefore they are feasible with the current experimental technology.