Local expansion of photonic W state using a polarization dependent beamsplitter
Toshiyuki Tashima, Sahin Kaya Ozdemir, Takashi Yamamoto, Masato, Koashi, and Nobuyuki Imoto

TL;DR
This paper introduces a probabilistic optical gate that uses a polarization-dependent beamsplitter and an ancilla photon to expand polarization entangled W states, demonstrating feasibility with current quantum optical technology.
Contribution
It presents a novel, simple probabilistic scheme for expanding W states using a polarization-dependent beamsplitter and an ancilla photon, feasible with current technology.
Findings
The scheme can probabilistically expand N-photon W states to (N+1)-photon states.
Feasibility analysis shows the method is practical with existing quantum optical components.
The approach simplifies the process of generating larger entangled W states.
Abstract
We propose a simple probabilistic optical gate to expand polarization entangled W states. The gate uses one polarization-dependent beamsplitter and a horizontally polarized single photon as an ancilla. The gate post-selectively expands -photon W states to -photon W states. A feasibility analysis considering the realistic experimental conditions show that the scheme is within the reach of the current quantum optical technologies.
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