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arXiv · 1609.02658

The extended Bloch Representation of Entanglement and Measurement in Quantum Mechanics

Diederik Aerts·Massimiliano Sassoli de Bianchi·Sandro Sozzo
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Abstract

The quantum formalism can be completed by assuming that a density operator can also represent a pure state. An 'extended Bloch representation' (EBR) then results, in which not only states, but also the measurement-interactions can be represented. The Born rule is obtained as an expression of the subjective lack of knowledge about the measurement-interaction that is each time actualized. 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 pure states.

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Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo. 2016-09-09. The extended Bloch Representation of Entanglement and Measurement in Quantum Mechanics. https://doi.org/10.1007/s10773-016-3257-7

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