Physics – Quantum Physics
Scientific paper
2000-01-18
Phys. Rev. Lett. 85, 3049 (2000)
Physics
Quantum Physics
5 pages including 2 figures. Final version submitted to PRL. Now includes additional comments on entanglement and mixedness as
Scientific paper
10.1103/PhysRevLett.85.3049
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 $log_2 N$
qubits in an arbitrary mixed state is sufficient to implement Shor's
factorization algorithm efficiently.
Parker Samantha
Plenio Martin . B.
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