Lectures in course PHYS-641: Quantum Computing

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

Introduces Quantum Supremacy, covering Google's 2019 achievement with 60 qubits and exploring quantum information and error correction.

Quantum Simulation: Complexity and Entropy

Covers quantum simulation complexity, entropy, and noisy quantum computing.

Quantum Information and Computation

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

Quantum Information: Basics and Applications

Covers quantum information basics, Toffoli gates, quantum parallelism, and Grover's algorithm for database search.

Quantum Computing: NISQ and Grover's Algorithm

Covers NISQ computing, error correction, quantum algorithm complexity, and Grover's search algorithm.

Crash Course on Quantum Mechanics

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Crash Course on Quantum Mechanics

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Quantum Mechanics: Crash Course on Quantum Bit Systems

Offers a crash course on quantum bit systems and measurement processes.

Quantum Mechanics: Self-adjoint Operators and Quantum Information

Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.

Quantum Mechanics: Measurement

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

The Paradigm of Digital Quantum Computation

Introduces the paradigm of digital quantum computation, discussing quantum bits, gates, error correction, and efficiency.

Quantum Computing Paradigm

Introduces the paradigm of digital quantum computing, covering qubits, quantum logic gates, state preparation, and error correction.

The Paradigm of Digital Quantum Computation

Discusses digital quantum computation, focusing on gate implementation and circuit construction.

Universal set of elementary quantum gates

Covers circuits and elementary quantum gates like H, T, S, X, Y, and Z, as well as general unitary and controlled operations.

Input State Preparation and Output Measurement

Covers input state preparation, output measurement, digital quantum computing paradigm, Pauli rotations, C-Z gates, and Solovay-Kitaev theorem.

Quantum Gates: C-NOT and Toffoli

Covers the principles behind quantum gates, focusing on the C-NOT and Toffoli gates.

The Deutsch and Deutsch-Jozsa Algorithms

Covers the Deutsch and Deutsch-Jozsa algorithms in quantum computing, explaining the principles behind them and their implications.

Deutsch-Jozsa Algorithms

Covers the Deutsch-Jozsa algorithms and the phase kickback phenomenon in quantum computing.

The Quantum Fourier Transform

Covers the Quantum Fourier Transform and its application in quantum computing, explaining the process of input values computation and the concept of complex numbers.