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No-Cloning Theorem, Kochen-Specker Theorem, and Quantum Measurement Theories

Nagata, Koji ; Nakamura, Tadao ; Farouk, Ahmed ; Diep, Do Ngoc

International journal of theoretical physics, 2019-06, Vol.58 (6), p.1845-1853 [Periódico revisado por pares]

New York: Springer US

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  • Título:
    No-Cloning Theorem, Kochen-Specker Theorem, and Quantum Measurement Theories
  • Autor: Nagata, Koji ; Nakamura, Tadao ; Farouk, Ahmed ; Diep, Do Ngoc
  • Assuntos: Cloning ; Elementary Particles ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Quantum Physics ; Quantum theory ; Theorems ; Theoretical
  • É parte de: International journal of theoretical physics, 2019-06, Vol.58 (6), p.1845-1853
  • Descrição: The usual no-cloning theorem implies that two quantum states are identical or orthogonal if we allow a cloning to be on the two quantum states. Here, we investigate a relation between the no-cloning theorem and the projective measurement theory that the results of measurements are either + 1 or − 1. We introduce the Kochen-Specker (KS) theorem with the projective measurement theory. We result in the fact that the two quantum states under consideration cannot be orthogonal if we avoid the KS contradiction. Thus the no-cloning theorem implies that the two quantum states under consideration are identical in that case. It turns out that the KS theorem with the projective measurement theory says a new version of the no-cloning theorem. Next, we investigate a relation between the no-cloning theorem and the measurement theory based on the truth values that the results of measurements are either + 1 or 0. We return to the usual no-cloning theorem that the two quantum states are identical or orthogonal in the case.
  • Editor: New York: Springer US
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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