E-resources
Peer reviewed
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Chen, Chien-Yuan
International journal of theoretical physics, 2021/1, Volume: 60, Issue: 1Journal Article
This paper proposes a novel quantum learning algorithm based on Bernstein and Vazirani’s quantum circuit to find the dependent variables of the 2-junta problem. Typically, for a given Boolean function f : {0, 1} n → {0, 1} that depends on only 2 out of n variables, the dependent variables are obtained by evaluating the function 4 n times in the worst-case. However, the proposed quantum algorithm only requires O ( log 2 n ) function operations in the worst-case. Moreover, the algorithm requires an average of 5.3 function operations at the most when n ≥ 8.
