Mutually Unbiased Maximally Entangled Bases in Tripartite Quantum Systems

As the best measurement bases, mutually unbiased bases play an important role in quantum information processing and they are intimately related to Bohr’s complementarity principle. Whereas, the construction of mutually unbiased bases for arbitrary high-dimensional quantum systems is difficult. In this paper, we derive a useful approach to construct mutually unbiased bases via maximally entangled bases based on an effective division of the three-qubit quantum systems. Furthermore, an explicit quantum teleportation protocol is proposed on account of the constructed mutually unbiased bases. We provides a new direction for the choice of measurement bases in quantum tasks.