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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1845-1853
Number of pages9
JournalInternational Journal of Theoretical Physics
Volume58
Issue number6
DOIs
Publication statusPublished - Jun 2019
Externally publishedYes

Keywords

  • Quantum computer
  • Quantum information theory
  • Quantum measurement theory

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