Correlation Property of Multipartite Quantum Image

M. A.Mercado Sanchez, Guo Hua Sun, Shi Hai Dong

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Inspired on the classical Bayesian method also called mutual information, by generalizing the classical case to quantum approach to study the multipartite correlation in quantum image by using the flexible representation of quantum images (FRQI) method. Some important entanglement measures are calculated including von Neumann entropy, conditional entropy, joint entropy, discord and mutual information. We take two typical images of size 2 × 2 pixels and 8 × 8 pixels and study their entanglement measures from different classical and quantum point of view. The quantum image of size 2 × 2 is studied under the change of color for one pixel, but the quantum image of 8 × 8 is treated under translation transform. We find that the classical joint entropy remains invariant under the change of color for one pixel but the quantum entropy is sensitive to such change. It is shown that the total correlation IT could arrive to the double amount of the classical joint entropy. The discord in the classical case is zero, but it varies much in the quantum case.

Original languageEnglish
Pages (from-to)3773-3796
Number of pages24
JournalInternational Journal of Theoretical Physics
Volume58
Issue number11
DOIs
StatePublished - 1 Nov 2019

Keywords

  • Entanglement
  • Entropy
  • Joint histogram
  • Mutual information
  • Quantum image
  • Qubit

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