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We propose an optical scheme to build an entangled network composed of $W$state based on polarization encoded qubits (photons). This new setup consistsof 2 $cNOT$ gates, 4 $V$ gates, 2 $Hadamard$ gates and basic optical tools suchas polarizing beamsplitters ($PBS$s) and path couplers ($PC$s). $V$ gate is aspecially-designed tool acting as a two-qubit gate which is composed of a$cNOT$ gate, 3 $PBS$s and a $PC$. By using this gate, one benefits from thetemporarily generated optical degree of freedom, which is the spatial mode of aphoton in the proposed scheme. Using an extra degree of freedom allows us toperform more capable processing for $W$-state creation protocols. We use fourphotons as input, which means we do not need entanglement as a resource. Also,we show that the proposed scheme can be implemented by operating the quantumoptical gates which can be realized via current photonics technology.

Deterministic creation of a four-qubit W state using one- and two-qubit gates