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It is shown that if we have a set of mutually orthogonal $n$-qubit states {\\normalsize $\\{|\\phi_{0}>,|\\phi_{1}>,....,|\\phi_{i}<,...,|\\phi_{2^{n}-1}>\\}$ and a set of $m-qubit$ ($m\\leq n$) unitary operators $\\{U_{0},U_{2},...,U_{2^{n}-1}\\}:U_{i}|\\phi_{0}>=|\\phi_{i}>$ and $\\{U_{0},U_{2},...,U_{2^{n}-1}\\}$ forms a group under multiplication then it would be sufficient to construct a quantum dialogue protocol using this set of quantum states and this group of unitary operators}. 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