Fock Space Perspective on Optimal Heralding Schemes

TL;DR

This paper develops a Fock space-based framework for designing optimal heralding schemes in linear optical quantum computing, analyzing known Bell state generation methods and identifying suboptimal success rates.

Contribution

It introduces a unit fidelity formulation in Fock space and provides a solution methodology for optimal heralding scheme design, improving understanding of success probabilities.

Findings

Success rate of 2/27 for Bell state generation with six modes and two ancillary photons is suboptimal.

The Fock space approach enables systematic analysis of heralding schemes.

The methodology can identify optimal configurations for quantum optical protocols.

Abstract

We address the design of optimal heralding schemes in linear optical quantum computing context. The problem admits unit fidelity formulation in relevant Fock space, thanks to linear optic feasibility criteria of [Phys. Rev. A100, 022301; arXiv:1901.06178]. Corresponding solution methodology is presented. As an application we inspect optimality of a few known schemes of Bell states generation. It is shown that in case of six modes and two ancillary photons success rate 2/27 is suboptimal.