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Physical Review A

Nature and Measure of Entanglement in Quantum Phase Transactions

Rolando D. Somma, Gerardo Ortíz, Howard Barnum, Emanuel H. Knill, Lorenza Viola

Published Jan 1, 2004• 0 citations
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arXiv:2004.00220•Apr 1, 2020•4 citations
This chapter reviews the original transactional interpretation as based on the Wheeler–Feynman absorber theory of radiation and demonstrates how the Born Rule for the probabilities of outcomes is a direct physical consequence of the transactional formulation. The chapter also accounts for the nature of “null measurements” and applies the transactional picture to the famous two-slit experiment to gain a better understanding of what it means for the experiment to be “finished” and how transactions illuminate the appearance and disappearance of interference based on the type of measurement being performed.
This paper presents an analysis of decoherence resulting from the physically real non-unitarity, or 'objective reduction,' that occurs in the Transactional Interpretation (TI). Two distinct aspects of the decoherence process are identified and disambiguated; specifically, (i) the resolution of the basic measurement interaction with respect to the observable under study, and (ii) the effect on the measured system of repetition of the measurement interaction. It is shown that the measurement interaction as described in TI leads naturally to the same quantitative expression for the decoherence function as in the standard unitary-only account. However, unlike in the unitary-only approach, under TI, the reduced density operator for the measured system can legitimately be interpreted as representing the occurrence of an actual measurement result.