Figure 15

This figure illustrates measurement results of the state \(\hat{H}^{\dagger}(P^{\dagger}(P(\hat{H}|r\rangle )))\), for some randomly chosen Permutation Operator P and \(r \in \{00,01,10,11\}\). Each circuit was executed 20,000 times on the IBM Qasm simulator. This figure illustrates the measurement results in the form of plot histogram. (a) Plot histogram of measurement results of the state \(|\phi \rangle = \hat{H}^{\dagger}(P^{\dagger}(P(\hat{H}|00\rangle )))\). (b) Plot histogram of measurement results of the state \(|\phi \rangle = \hat{H}^{\dagger}(P^{\dagger}(P(\hat{H}|01\rangle )))\). (c) Plot histogram of measurement results of the state \(|\phi \rangle = \hat{H}^{\dagger}(P^{\dagger}(P(\hat{H}|10\rangle )))\). (d) Plot histogram of measurement results of the state \(|\phi \rangle = \hat{H}^{\dagger}(P^{\dagger}(P(\hat{H}|11\rangle )))\)