Demonstration of Shor's quantum factoring algorithm using photonic qubits

Physics – Quantum Physics

Scientific paper

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small changes over v2; to appear in PRL

Scientific paper

10.1103/PhysRevLett.99.250504

We report an experimental demonstration of a complied version of Shor's algorithm using four photonic qubits. We choose the simplest instance of this algorithm, that is, factorization of N=15 in the case that the period $r=2$ and exploit a simplified linear optical network to coherently implement the quantum circuits of the modular exponential execution and semi-classical quantum Fourier transformation. During this computation, genuine multiparticle entanglement is observed which well supports its quantum nature. This experiment represents a step toward full realization of Shor's algorithm and scalable linear optics quantum computation.

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