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About Quantum Discrete Log
This paper modifies Shor's algorithm to compute discrete logarithms d in groups of prime order q when d is much smaller than q (d << q). The modified algorithm uses fewer qubits and smaller quantum Fourier transforms than the original algorithm. Specifically, for d << q, it uses 3dlog2(d) qubits instead of 2blog2(q) qubits in the original, and computes quantum Fourier transforms of size 2dlog2(d) and 22dlog2(d) instead of size 2blog2(q). This implies the complexity depends not only on the group and its order q, but also on the logarithm d, allowing more efficient computation when d << q.
Detailed Information
| Author: | ['Dhruvesh Asnani'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 26 |
| Language: | English |
| Format: | |
| Price: | FREE |
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