Quantum Gates as Matrices
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, ...
Get Quantum Computing now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
