Stokes vector and its relationship to Discrete Wigner Functions of multiqubit states

•Relationship between Stokes vector (SV) and discrete Wigner function (DWF) for arbitrary multiqubit states is presented.•It is shown that SV and DWF are related to one another through Hadamard matrices.•We show that the Hadamard matrices depend on the choice of the quantum net.•Relationship between SV of the spin flipped state and the DWF is derived.•Expression to compute n-concurrence of the pure n-qubit systems purely in terms of DWF is given.

A Stokes vectors and Discrete Wigner Functions (DWF) provide two alternate ways of representing the state of multiqubit systems. A general relationship between the Stokes vector and the DWF is derived for arbitrary n-qubit states for all possible choices of quantum nets. The Stokes vector and the DWF are shown to be related through a Hadamard Matrix. Using these results, a relationship between the Stokes vector of a spin-flipped state and the DWF is derived. Finally, we also present a method to express the Minkowskian squared norm of the Stokes vector, corresponding to n-concurrence in terms of the DWF.