isomorphisms for bloch plotting #34
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| Convert a ket to a Bloch vector representation. | ||
| """ | ||
| function ket_to_bloch(ψ::AbstractVector{<:Number}) | ||
| ρ = ψ * ψ' |
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Can we add a quick assert for the size we expect?
src/isomorphisms.jl
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| # construct the quantum state | ||
| ket = [cos(θ/2), exp(im * φ) * sin(θ/2)] | ||
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| ket = map(c -> round(real(c), digits=digits) + (isreal(c) ? 0.0 : im * round(imag(c), digits=digits)), ket) |
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The bloch vector should be real values, so try:
bloch_to_ket(bloch::AbstractVector{R}) where R <: Real
and then we can take a quick shortcut ket = Complex{R}[cos(θ/2), exp(im * φ) * sin(θ/2)]
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also, any reason for needing to round to some specific digits?
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this was just to get exactly 0 or exactly 1, etc when converting, not exactly necessary though, should I delete?
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Yeah let's switch to the alternative implementation suggested above (I think we'll just end up with tiny numerical errors for any plotting applications, which shouldn't matter)
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the isomorphisms work, i had to redefine PAULIS because it wouldn't recognize them even though they are defined in PiccoloQuantumObjects |
ket_to_bloch and bloch_to_ket
TODO: