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In other words, it seems that if you have entanglement, then you have correlation (of measured properties). But is it true that if you have correlation, then you have quantum entanglement? Classically, correlation is between macro-events. But macro-events are made of micro-events. So is classical correlation the classical limit of quantum entanglement?
Thinking further, we can only measure something if there is correlation. e.g. correlation between the needle on the meter and the voltage in the circuit. Even a quantum measurement only exists if there is a correlation. For it takes an interaction to make a measurement, and we only know something about the particle being measured because it is somehow correlated with the particles interacting with it. So can you have correlation without entanglement? Isn't correlation the measure of entanglement (always)?
Thanks.
Thinking further, we can only measure something if there is correlation. e.g. correlation between the needle on the meter and the voltage in the circuit. Even a quantum measurement only exists if there is a correlation. For it takes an interaction to make a measurement, and we only know something about the particle being measured because it is somehow correlated with the particles interacting with it. So can you have correlation without entanglement? Isn't correlation the measure of entanglement (always)?
Thanks.