Monthly Challenge: Draper Adder with Mitiq Zero-Noise Extrapolation

[mhmohona]

Summary

The challenge focuses on implementing the Draper Adder using Quantum Fourier Transform (QFT) and applying error mitigation using Mitiq's Zero-Noise Extrapolation (ZNE).

Highlights

• Implementation of a full Draper Adder circuit that performs modular addition
• Comparison of ideal vs. noisy quantum simulation using Qiskit Aer
• Application of depolarizing noise and analysis of its impact
• Integration of four ZNE factories from Mitiq: Linear, Exponential, Richardson, and Polynomial
• Visualization of noise impact on accuracy and mitigation effectiveness
• Exhaustive testing for all 3-bit additions to ensure correctness

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