Entangled states implemented by Bn group operators, including properties based on HS decompositions, separability and concurrence

Abstract

The use of the Bn group operators is developed for implementing entangling processes for large n-qubits systems (n > 2). By operating with the Bn group operators on the computational basis of states, entangled states are obtained with properties analogous to those of the 2-qubits Bell states. Tracing any qubit from the 3-qubits Bn entangled states, we get mixed states which are separable with zero concurrence, and correspondingly with only classical correlations. These properties are generalized to larger Bn entangled states (n > 3). The properties of the Bn entangled states are analyzed by the use of Hilbert–Schmidt (HS) decompositions.