WebIn fact, it is difficult to design a quantum-quantum modular multiplier circuit that efficiently computes the multiplication because the reversible modular inversion routine that inverts the reduc- tion stage used for modular multiplication has a … WebFor comparison, we analyzed the proposed quantum addition circuit over GF(2n−1) and the previous quantum modular addition circuit for the performance of the number of qubits, the number of gates, and the depth, and simulated it with IBM’s simulator ProjectQ. ... Rines, R.; Chuang, I. High performance quantum modular multipliers.
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Efficient implementation of Montgomery modular multiplier on …
WebWe use high-performance classical tools to construct, optimize, and simulate quantum circuits subject to realistic error models in order to empirically determine the maximum tolerable error rate for a meaningful Hamiltonian simulation experiment on a near-term quantum computer. WebJul 24, 2024 · The outline of the quantum modular multiplication is as follows. 1. Compute the multiplication result of x and y 2. Divide (x\cdot y) by p and obtain the remainder x\cdot y\pmod {p} and quotient q. 3. To uncompute, q\cdot p is calculated from the quotient q. We add x\cdot y\pmod {p} to q\cdot p, thus making the output with value of x\cdot y. WebJan 1, 2024 · In this paper, we proposed efficient quantum-classical modular multipliers and the first quantum-quantum modular multipliers that do not require a reduction stage by … northern virginia bucket list