Hi! I study the calculation of Riemann surface and the quantum computation simulated by software, I always think there are many similarities between Riemann surface theory and quantum computation.I know the Bloch sphere and Riemann sphere,but I can't see the whole picture.
Could you recommend some academic ideas to me?
Only if superposing 'Locales" in adjacent manifolds are regarded as Bloch sphere tessellations . . . .
Firstly, we should look at the situation from the standard quantum angle, more specifically the de Broglie wavelength analysis of the behavior of macroscopic entities, AND illustrate how micro-perception plays a fundamental role in well-established experimental quantum-macroscopical phenomena, such as Bose-Einstein condensates. The measurement apparatus fans out the incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual.
THEN : we have the task to analyze how the question is influenced by our result in axiomatic quantum theory, which proves that standard quantum theory is structurally incapable of describing separated entities.
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