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Oct 5 '19 at 2:59 comment added guest "Hilbert space inner product which essentially calculates the angle between them". Can you explain in simple term what is outer product?
Oct 4 '19 at 12:05 comment added Mark S See quantumcomputing.stackexchange.com/questions/4699/…
Oct 4 '19 at 11:33 comment added John I think it depends on what you want to do. If you want to calculate how close together two pure states are, sure, use the Hilbert space inner product which essentially calculates the angle between them. But when I'm dealing with quantum circuits I just want to calculate the linear maps of the gates involved, and not deal with some complex highly dimentional geometry.
Oct 3 '19 at 14:57 comment added glS The set of pure states, in arbitrary (finite) dimensions, lives in a projective Hilbert space. As such, isn't it arguably more "natural" to describe everything in terms of generalised angles and rotations (at least as long as one considers only pure states)?
Oct 3 '19 at 10:05 history answered John CC BY-SA 4.0