Elements of Computational Complexity

Related lectures (30)

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Covers classical and quantum computational complexity concepts and implications.

Covers quantum information, computation, advantages, challenges, error correction, and quantum algorithms.

Explains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.

Covers Shor's factoring algorithm, which efficiently factors large numbers using quantum computers.

Introduces computational complexity, decision problems, quantum complexity, and probabilistic algorithms, including NP-hard and NP-complete problems.

Explains the transformation from a matrix to the density operator in quantum physics.

Explores the Quantum Phase Estimation method for finding the period of a function using an oracle.

Covers quantum information, computing, algorithms, error correction, and challenges in the field.

Covers eigenvalues, eigenfunctions, Hermitian operators, and the measurement of observables in quantum chemistry.

Explores complexity classes P and NP, highlighting solvable and verifiable problems, including NP-complete challenges.