OPENQASM 2.0;
include "qelib1.inc";
qreg q[3];
creg c[2];
// Eigenstate
x q[2];
// Hadamard counting qubits
h q[0]; h q[1];
// Controlled-U
cp(pi/2) q[1],q[2];
cp(pi) q[0],q[2];
// Inverse QFT
h q[0];
cp(-pi/2) q[1],q[0];
h q[1];
swap q[0],q[1];
measure q[0] -> c[0];
measure q[1] -> c[1];