Quantum circuits for Toom-Cook multiplication
Srijit Dutta, Debjyoti Bhattacharjee, Anupam Chattopadhyay · Physical Review A · 2018
In this paper, we report efficient quantum circuits for integer multiplication using the Toom-Cook algorithm. By analyzing the recursive tree structure of the algorithm, we obtained a bound on the count of Toffoli gates and qubits. These bounds are further improved by employing reversible pebble games through uncomputing the intermediate results. The asymptotic bounds for different performance metrics of the proposed quantum circuit are superior to the prior implementations of multiplier circuits using schoolbook and Karatsuba algorithms.