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In this paper, we study the superposition invariance of unitary operators andmaximally entangled state respectively. Furthermore, we discuss the set oforthogonal maximally entangled states. We find that orthogonal basis ofmaximally entangled states can be divided into k subspaces. It is shown thatsome entanglement properties of superposed state in every subspace areinvariant.

The superposition invariance of unitary operators and maximally entangled state