Efficient factorization with a single pure qubit

  title={Efficient factorization with a single pure qubit},
  author={Scott Parker and Martin B. Plenio},
It is commonly assumed that the initial state in Shor's quantum algorithm for the efficient factorization of large numbers requires a pure initial state. Here we demonstrate that a single pure qubit together with a collection of qubits in an arbitrary mixed state is sufficient to implement Shor's factorization algorithm efficiently. 


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