Shor's Algorithm

• Uses Quantum Fourier Transform (QFT) in period-finding applications, including factoring large numbers

  • (Actually, inverse of QFT, but reverse is simple in quantum)
  • O(L^2)
  • Ignore for today (see my QIT10 paper)

• Also uses modular exponentiation

  • O(L^3) with simple algorithm, O(L^2 log L log log L) w/ more complex one
  • Can be partially computed classically