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arXiv · 1301.3210

Faster Quantum Number Factoring via Circuit Synthesis

Igor L. Markov·Mehdi Saeedi
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Abstract

A major obstacle to implementing Shor's quantum number-factoring algorithm is the large size of modular-exponentiation circuits. We reduce this bottleneck by customizing reversible circuits for modular multiplication to individual runs of Shor's algorithm. Our circuit-synthesis procedure exploits spectral properties of multiplication operators and constructs optimized circuits from the traces of the execution of an appropriate GCD algorithm. Empirically, gate counts are reduced by 4-5 times, and circuit latency is reduced by larger factors.

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Igor L. Markov, Mehdi Saeedi. 2013-01-15. Faster Quantum Number Factoring via Circuit Synthesis. https://doi.org/10.1103/physreva.87.012310

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