Sumários

Week 9 - Breaking RSA with Shor's algorithmQuantum Fourier Transformation and phase estimation

29 Abril 2024, 16:30 André Souto


History of Shor's algorithm.

Discrete log and RSA as motivations for Period Finding algorithm.

Period finding algorithm: easy case and hard case (continued fractions).

Shor's algorithm for breaking RSA.

Examples.

Sheet 5

22 Abril 2024, 18:30 André Souto


Resolution in tutorial regime of some exercises of sheet 5.

Week 8 - Quantum Fourier Transformation and phase estimation

22 Abril 2024, 16:30 André Souto


The quantum Fourier Transformation: Indication of how to implement it with Qiskit. Complexity analysis. 

The phase estimation procedure as example of QFT.

The class was given in tutorial regime.

Sheet 4

15 Abril 2024, 18:30 André Souto


Resolution of some exercise of sheet 4


Week 7 - Simon's algorithm and the Fourier Transformation

15 Abril 2024, 16:30 André Souto



The Simon's problem and its quantum and classical solutions with respective analysis of complexity.

The quantum Fourier Transformation: Motivation, introduction and the FFT.