Shor's quantum factoring algorithm finds the prime factors of a large numberexponentially faster than any other known method a task that lies at the heartof modern information security, particularly on the internet. This algorithmrequires a quantum computer a device which harnesses the `massive parallelism'afforded by quantum superposition and entanglement of quantum bits (or qubits).We report the demonstration of a compiled version of Shor's algorithm on anintegrated waveguide silica-on-silicon chip that guides four single-photonqubits through the computation to factor 15.
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