Shor’s Algorithm
This means (xr=2 + 1) and/or (xr=2 1) shares a factor with n, which we can nd using the Euclidean Algorithm [4]. This will give us a non-trivial factor of n(not 1 or nitself) at least 50% of the time [3]. A keen eye will see that the hard part of the above algorithm is calculating the order, r, …
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