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A Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation

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arxiv 0808.1935 v1 pith:IJTKGZOB submitted 2008-08-14 quant-ph

A Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation

classification quant-ph
keywords algorithmquantumadiabaticnumberqubitscapableexperimentalexperimentally
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose an adiabatic quantum algorithm capable of factorizing numbers, using fewer qubits than Shor's algorithm. We implement the algorithm in an NMR quantum information processor and experimentally factorize the number 21. Numerical simulations indicate that the running time grows only quadratically with the number of qubits.

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