Introduction to Quantum Computing (9) - Projection Operator

The inner product allows us to define an operator that acts on a vector to produce a number. We can extend this operator to a linear transformation by taking the number produced and using it as a scalar for the left vector in the inner product. This is called a projection operator.

[happydaggergbmostra]

Why would you choose v and u as your letters when your handwritting style makes them so similar :(. The videos are great still though

[bensas]

Thank you so much for these videos! Amazing!

[riparise]

@daytonellwanger At 1:55 you say that the inner-product is linear in the first argument. While this is true in the normal notation < a, b > : V X V -> F, then we are using bra-ket notation, isnt the inner product < a | b > linear in the second argument?
Nonetheless, great video series!

[bigglesby]

Ive got a MS in applied math from a few years back, and this is moving really fast. That plus some of the handwriting makes this and the last couple of lessons for review really difficult to follow. Good stuff, but wow.

[DannyAlvaro]

Lo entendi!!! jejeje... muchas gracias por el video