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Quant-UNAM Project

An online course on quantum computation

About

This course explores the mathematical foundations of Quantum Computing. It consists of a series of videos that enable the implementation of the ‘flipped classroom’ educational model, in which classroom time can be primarily devoted to the active discussion of concepts presented in the videos, as well as discussing exercises and applications.

This is a collaboration with the Faculty of Sciences at the National Autonomous University of Mexico.

Topics covered

Foundations of Quantum Mechanics and the double-slit experiment. Hilbert spaces and operators. Quantum states and observables. Qubits. Tensor products. Composite systems. Schmidt decomposition. Quantum entanglement. Einstein-Podolsky-Rosen paradox. Bell inequalities. Quantum gates and circuits. Quantum algorithms. Deutsch-Jozsa algorithm. Teleportation. Quantum cryptography. Shor's factorization algorithm.

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Acknowledgements

We acknowledge the support of DGAPA-PAPIME through grants PE102523 and PE102125.