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FQXI ARTICLE
September 19, 2019

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Already Rafael Bombelli (1526-1573) understood that any complex number occurs together with its conjugate (suo Residuo), cf. Helmut Gericke, Geschichte des Zahlbegriffs. Accordingly, a complex representation of a real world quantity is redundant. It does not convey more information as compared with the seemingly poorer real-valued one. I will reconsider this as soon as the first quantum computer shows its claimed superiority.

Eckard Blumschein


"How much information is really there in a quantum state?"

And how does one go about counting or accounting it?

How far back into the past does a Quantum State remain intact, what memory of a previous state does a Q-bit have/retain?

To possibly be in "Two Places at Once", one really has to define "place" , what here is meant place?..is this the same as being in "two space's" at one instant of time?..so thus a particle can be in ANY two location of the future, or ANY two...


This is an interesting topic but the basic idea is due to the quantum superposition. Recently it was realized that macroscopic systems (computers are also macroscopic devices) will obey a nonlinear Schrodinger equation (see for instance arXiv:0711.1442 attached bellow). Hence, the superposition principle is no more valid.

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