Quantum Phase EstimationExplains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.
Quantum Order Finding with QPECovers the Quantum Order Finding algorithm using Quantum Phase Estimation (QPE), focusing on Shor's factoring algorithm.
Grover's Quantum Search AlgorithmExplains Grover's Quantum Search Algorithm, which outperforms classical algorithms in searching unstructured databases using O(√N) queries.
The Density Matrix FormalismExplores the density matrix formalism in quantum mechanics, including entanglement and properties of the density matrix.
Quantum States and Density OperatorsCovers the density operator formalism in quantum mechanics, discussing pure and mixed states, separability conditions, and the concept of partial trace.
Noisy Quantum ChannelsCovers noisy quantum channels, depolarizing channels, Kraus operators, and error probabilities in quantum communication.
Noisy Quantum ChannelsExplores noisy quantum channels, density operators, probabilities, and time evolution in quantum systems.