Pick a random integer $x$ such that $2xN-2,gcd(x,N)=1.$ The order$-$finding algorithm

requires the implementation of the phase estimation circuit for the unitary operator

$U_x|y$:

applied to the eigenstate $|1$:$.$ This phase estimation, in turn, requires oracles able to perform

the controlled operations

for kinZ $($together with Hadamard gates and the inverse QFT$).$ You may use the oracles that

are given to you in a separate Jupyter notebook file, or build your own $($see Nielsen$-$Chuang

Box $5\mathrm{.}2).$ The required tasks in this project are:

$(1)$ Assemble the order finding quantum circuit for $N=15$ and $x=7,$ using the provided

oracle gates.

$(2)$ Run the quantum circuit built in part $(1)$ on the QASM simulator and graph a his$-$

togram with the results.