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Quantum Octahedral Fractal via Random Spin-State Jumps

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sharpness of spin direction
Quantum jumps of spin 1/2 states on the Bloch sphere are realized by Möbius transformations. Chaos games produced by a random sequence of six noncommuting transformations centered at the vertices of the octahedron result in a fractal pattern on the sphere. The parameter
k
,
0<k<1
, defines the sharpness of the spin-direction measurements.
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