Optimal local expansion of W states using linear optics and Fock states

Abstract

We derive the maximum success probability of the circuits with passive linear optics for expanding an N-photon W state to an (N + n)-photon W state, by accessing only one photon of the initial W state and adding n photons in a Fock state. We show that the maximum success probability is achieved by a polarization-dependent beamsplitter and n-1 polarization-independent beamsplitters.

9 pages, 4 figures

References in corpus (3)

• Local transformation of two EPR photon pairs into a three-photon W state
• Demonstrating multipartite entanglement of single-particle W states: linear optical schemes
• Simple scheme for expanding a polarization-entangled W state by adding one photon

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• Efficient Fusion of Photonic W-states with Nonunitary Partial-swap Gates
• Circulating Genuine Multiparty Entanglement in Quantum Network
• Recovery of resources through sequential noisy measurements