LAUSR

Werner states are unitarily invariant states in the d dimensional Hilbert space. These states are entangled (EPR correlated) but still admits a hidden variable model. In this paper, we superpose a 2 N qubit Bell state which are pairwise entangled with a 2 N qubit completely random real pure state. For large N limits, the two-qubit reduced density matrix (both qubits are in the same Bell state of the superposed state) very closely resembles a Werner state. The random state is sampled from the surface of a 2 2 N dimensional hypersphere of unit radius or equivalently sampled from a normal distribution of zero mean and unit variance. The quantitative analysis of entanglement measures such as concurrence and block entropy also reinforce our claim.