This final project includes two Qiskit mini-projects.

The first mini-project studies Subset Sum with Grover's algorithm. Candidate subsets are encoded as basis states, a reversible weighted-sum oracle marks subsets whose sum equals the target, and Grover diffusion amplifies the marked solutions.

The second mini-project is a toy QSP/QSVT demo for a two-point finite-difference discretization of the 1D Poisson equation. It constructs a block-encoded signal unitary, uses a degree-3 polynomial as a scaled inverse on the two eigenvalues, and simulates the resulting QSVT circuit with postselection.

The slideshow video focuses on the QSP/QSVT Poisson demo.

Mini-project repositories:
https://github.com/zetacaveman/quantum-subset-sum-demo
https://github.com/zetacaveman/toy-qsvt-poisson-demo