Quantum One Go Computation and the Physical Computation Level of Biological Information Processing |
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Authors: | Giuseppe Castagnoli |
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Institution: | (1) UWC Department of Mathematics, University of Wisconsin, 780 Regent Street, Madison, Wisconsin, 53708 |
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Abstract: | By extending the representation of quantum algorithms to problem-solution interdependence, the unitary evolution part of the
algorithm entangles the register containing the problem with the register containing the solution. Entanglement becomes correlation,
or mutual causality, between the two measurement outcomes: the string of bits encoding the problem and that encoding the solution.
In former work, we showed that this is equivalent to the algorithm knowing in advance 50% of the bits of the solution it will
find in the future, which explains the quantum speed up.
Mutual causality between bits of information is also equivalent to seeing quantum measurement as a many body interaction between
the parts of a perfect classical machine whose normalized coordinates represent the qubit populations. This “hidden machine”
represents the problem to be solved. The many body interaction (measurement) satisfies all the constraints of a nonlinear
Boolean network “together and at the same time”—in one go—thus producing the solution. |
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Keywords: | |
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