Linear Quantum Calculus in Dirac Notation

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Description

This lecture covers linear algebra in Dirac notation, focusing on quantum calculus. Topics include the Hilbert space, column vectors, conjugated vectors, and tensor products. The lecture emphasizes the importance of the scalar product and density product in quantum computations.

Instructors (3)

Official source

https://mediaspace.epfl.ch/media/0_8qqlfmyc

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Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional and infinite-dimensional case. It is specifically designed to ease the types of calculations that frequently come up in quantum mechanics. Its use in quantum mechanics is quite widespread. The name comes from the English word "Bracket". Paul Dirac created Bra-ket notation in 1939 to make it easier to write quantum mechanical equations.

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