695 citations · 2.6k across the 40 of their papers we have counts for
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cs.ET2013★ 2 cited
Quantum Circuits for GCD Computation with Depth and O(n) Ancillae
Mehdi Saeedi, Igor L. Markov
GCD computations and variants of the Euclidean algorithm enjoy broad uses in both classical and quantum algorithms. In this paper, we propose quantum circuits for GCD computation w…
quant-ph2013★ 34 cited
Faster Quantum Number Factoring via Circuit Synthesis
Igor L. Markov, Mehdi Saeedi
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…