Beschreibung
We discuss the fact that there is a crucial contradiction within Von Neumanns theory. We derive a proposition concerning a quantum expected value under an assumption of the existence of the orientation of reference frames in N spin-1/2 systems (1 N < +). This assumption intuitively depictures our physical world. However, the quantum predictions within the formalism of Von Neumanns projective measurement (the result of measurements is ±1) violate the proposition with a magnitude that grows exponentially with the number of particles. We have to give up either the existence of the directions or the formalism of Von Neumanns projective measurement. Therefore, Von Neumanns theory cannot depicture our physical world with a violation factor that grows exponentially with the number of particles. The theoretical formalism of the implementation of the Deutsch-Jozsa algorithm relies on Von Neumanns theory. We investigate whether Von Neumanns theory meets the Deutsch-Jozsa algorithm. We discuss the fact that the crucial contradiction makes the quantum-theoretical formulation of Deutsch-Jozsa algorithm questionable. Further, we discuss the fact that Von Neumanns projective measurement
Autorenporträt
2003 Ph.D The Graduate University for Advanced Sciences