I Decoherence and direction of causality

entropy1
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If I use the expression ##(|A\rangle+|B\rangle)|M\rangle \rightarrow |A\rangle|M_A\rangle+|B\rangle|M_B\rangle## for decoherence, does that mean that we can infer that, IF the measured value is ##A## that THEN we will measure ##M_A##, OR that IF we measure ##M_A## THEN the measured value must have had the value ##A##? Are both legitimate?
 
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Little bump because I rephrased the question a little. :wink:

I think the answer to my question involves entanglement. If so it would be appreciated to have it explained in the context of my question. Thanks! :smile:
 
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