TITLE:
Reply to “Comments on ‘There Is No Axiomatic System for the Quantum Theory’”
AUTHORS:
Koji Nagata
KEYWORDS:
Quantum Measurement Theory, Quantum Computer, Formalism
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.4 No.4,
December
18,
2014
ABSTRACT: Barros discusses that [Jose Acacio de Barros, Int. J. Theor. Phys. 50,
1828 (2011)] Nagata derives inconsistencies from quantum mechanics [K. Nagata,
Int. J. Theor. Phys. 48, 3532 (2009)]. Barros considers that the
inconsistencies do not come from quantum mechanics, but from extra assumptions
about the reality of observables. Here we discuss the fact that there is a
contradiction within the quantum theory. We discuss the fact that only one
expected value in a spin-1/2 pure state 〈σx〉rules out the reality of the
observable. We do not accept extra assumptions about the reality of
observables. We use the actually measured results of quantum measurements (raw
data). We use a single Pauli observable. We stress that we can use the quantum
theory even if we give up the axiomatic system for the quantum theory.