A residue-number-system design for distributed quantum multiplication reports up to 46% lower Toffoli depth and 34-86% fewer T gates, but the gains rely on per-device maxima and on sharing inputs across quantum machines.
Another concrete quantum cryptanalysis of binary elliptic curves,
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Residue Number System (RNS) based Distributed Quantum Multiplication
A residue-number-system design for distributed quantum multiplication reports up to 46% lower Toffoli depth and 34-86% fewer T gates, but the gains rely on per-device maxima and on sharing inputs across quantum machines.