August 2020
Intermediate to advanced
582 pages
17h 59m
English
The go-to visual for orthogonal vectors is unit
lengths directed along the coordinate axes.
This picture, though appealing, quickly breaks down.
With two qubits, we’ll have vectors with
22 or 4 elements, making
them hard to visualize in 3D space.
As explained in From Sphere to Hemisphere: The True Space,
in the weird geometry of quantum mechanics, the vector
for
points upward while
that for
is
downward and not perpendicular to the vector for
.
When quantum computers become practical to unleash on large scale problems, ...
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