Project 1: Quantum State Preparation
We implement arbitrary quantum state preparation in Qiskit using a circuit of single-qubit gates and multi-controlled RZ gates, with no ancilla qubits. Correct handling of the global phase makes the circuit usable as a controlled subroutine.
https://github.com/Daminark/quantum-state-preparation

Project 2: Clifford Noise Reduction
In this project, we study the Clifford Noise Reduction (CliNR) scheme of Delfosse-Tham in arXiv:2407.06583. This is a form of quantum error mitigation which has a much smaller qubit overhead compared to quantum error correction, thereby making it a more viable near-term approach to handling quantum noise, while avoiding the exponential overhead sampling cost typical for error mitigation. We use Stim to simulate this scheme and provide numerics demonstrating its performance in various regimes.
https://github.com/Daminark/clifford-noise-reduction

Project 1 - HHL Algorithm - https://github.com/Tuscany-McCann/Annotated-HHL
Steps through the construction of a circuit to implement the HHL algorithm for solving linear equations Ax=b, i.e. computing A^{-1}b. This is achieved by Quantum Phase Estimation on e^{iA}, and dividing by the estimated eigenvalues by means of an appropriate rotation of an ancillary qubit.

Project 2 - GQSP Algorithm - https://github.com/Tuscany-McCann/Annotated-GQSP
Steps through the construction of a circuit to implement Corollary 8 from the GQSP paper, which is Hamiltonian Simulation of a linear combination of unitaries. LCU formalism combines with a sequence of SU(2) rotations to block-encode a Laurent approximation of the desired evolution.