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PHYS-641: Quantum Computing

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Lectures in this course (58)

Quantum Approximation: Optimization Algorithm

Explores the Quantum Approximate Optimization Algorithm and its application in factoring integers using a superconducting quantum processor.

Quantum Mechanics: Self-adjoint Operators and Quantum Information

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

The Paradigm of Digital Quantum Computation

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

The Paradigm of Digital Quantum Computation

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

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.

The Deutsch and Deutsch-Jozsa Algorithms

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

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.

Quantum Phase Estimation

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

Quantum Supremacy: Introduction Log in to Mediaspace to watch this video

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

Quantum Information: Basics and Applications Log in to Mediaspace to watch this video

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

Shor's factoring algorithm: Quantum Phase Estimation Log in to Mediaspace to watch this video

Covers Shor's factoring algorithm and the link between order finding and factoring.

Quantum Order Finding with QPE Log in to Mediaspace to watch this video

Covers the Quantum Order Finding algorithm using Quantum Phase Estimation (QPE), focusing on Shor's factoring algorithm.

Grover's Search Algorithm Log in to Mediaspace to watch this video

Covers Grover's search algorithm, a quantum algorithm for searching unstructured databases.

Elements of computational complexity Log in to Mediaspace to watch this video

Covers classical and quantum computational complexity concepts and implications.

The Density Operator Formalism Log in to Mediaspace to watch this video

Explains the density operator formalism and observables in quantum systems.

Quantum States and Density Operators Log in to Mediaspace to watch this video

Covers the density operator formalism in quantum mechanics, discussing pure and mixed states, separability conditions, and the concept of partial trace.

Noisy Quantum Channels Log in to Mediaspace to watch this video

Covers noisy quantum channels, depolarizing channels, Kraus operators, and error probabilities in quantum communication.

Introduction to Quantum Error Correction Log in to Mediaspace to watch this video

Covers the principles of quantum error correction and its application in quantum computing.

Quantum Error Correction: Shor's Code Log in to Mediaspace to watch this video

Covers the principles of quantum error correction, focusing on Shor's quantum error correction code.

Quantum Error Correction: Knill-Laflamme Theorem Log in to Mediaspace to watch this video

Explores the Knill-Laflamme theorem in quantum error correction and its importance in quantum computing.

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