Efficient factorization with a single pure qubit and log N mixed qubits
S. Parker, M. B. Plenio
Abstract
It is commonly assumed that Shor's quantum algorithm for the efficient factorization of a large number N requires a pure initial state. Here we demonstrate that a single pure qubit together with a collection of log2 N qubits in an arbitrary mixed state is sufficient to implement Shor's factorization algorithm efficiently.
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