The extended Bloch Representation of Entanglement and Measurement in Quantum Mechanics

Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The quantum formalism can be completed by assuming that density operators also represent genuine states. An ‘extended Bloch representation’ (EBR) then results, in which not only the states but also the measurement-interactions can be described. Consequently, the Born rule can be obtained as an expression that quantifies the lack of knowledge about the measurement-interaction that is each time actualized, during a measurement. Entanglement can also be consistently described in the EBR, as it remains compatible with the principle according to which a composite entity exists only if its components also exist, and therefore are in well-defined states.

Original languageEnglish
Pages (from-to)3727-3739
Number of pages13
JournalInternational Journal of Theoretical Physics
Volume56
Issue number12
DOIs
Publication statusPublished - Dec 2017

Bibliographical note

11 pages, 3 figures

Keywords

  • Bloch sphere
  • Entanglement
  • Extended Bloch representation
  • Hidden-measurements
  • Hidden-variables
  • Measurement problem
  • SU(N)

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