Enhancing the W State Quantum Network Fusion Process with A Single Fredkin Gate

TL;DR

This paper introduces a modified W state fusion process using a single Fredkin gate and an ancillary photon, significantly increasing success probability and enabling more resource-efficient creation of large W states from Bell pairs.

Contribution

The paper presents a novel fusion mechanism incorporating a Fredkin gate and ancillary photon, enhancing success rates and enabling deterministic-like fusion of W states from Bell pairs.

Findings

Success probability of W state fusion increased to 3/4.

The setup allows fusion of Bell states into W states with higher efficiency.

Resource costs are reduced due to higher success probabilities.

Abstract

Integrating a single Fredkin (controlled swap) gate to the previously introduced W state fusion mechanism (Ozdemir et al, N. J. Phys. 13, 103003, 2011) and using an ancillary photon, we increase the size of the fused W states and essentially, we improve the success probability of the fusion process in a promising way for a possible deterministic W state fusion mechanism. Besides fusing arbitrary size W states, our setup can also fuse Bell states to create W states with a success probability 3/4 which is much higher than the previous works. Therefore using only this setup, it is now possible to start with Bell pairs to create and expand arbitrary size W states. Since higher probability of success implies a lower cost of resource in terms of the number of the states spent to achieve a target size, our setup gives rise to more cost-efficient scenarios.