Ok, I'm working with the Pauli Matrices, and I've already gone through showing a few bits of information. I've got a good idea how to keep going, but I'm not exactly sure about this one--(adsbygoogle = window.adsbygoogle || []).push({});

say M= 1/2(alphaI+ a*sigma)

where alpha EC, a=(ax, ay, az) a complex vector, a*sigma=ax sigmax+ay sigmay+ az sigmz, andIis the identity matrix.

So, an orthogonal projection means that for a matrix P, P^2 and P dagger are both equal to P, right?

Supposedly alpha and a can beonstrained so that M is an orthogonal projection.

How would I go about doing that?

Thanks muchly!

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# Pauli Matrices and orthogonal projections

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