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Quantum Leader Election
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===When <math>n</math> is not an integral power of 2=== For <math>2^k < n < 2^{k+1}</math>, # The following steps are performed simultaneously: #* Players <math>A_1, A_2, ..., A_{2^k}</math> perform leader election for integral power of 2 number of players among themselves with <math>P_{\frac{\epsilon}{2}}</math> to get the winner <math>w_1</math>. #* Players <math>A_{2^k+1}, ..., A_n</math> recursively perform leader election for not an integral power of 2 number of players to get the winner <math>w_2</math>. # <math>w_1</math> and <math>w_2</math> perform <math>P_{\frac{2^k}{n},\frac{\epsilon}{2}}</math>. The winner of this is the leader.
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