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Measurement and entanglement isn't quite the same physical phenomenon. Measurement necessarily involves a certain kind of entanglement, but not every entanglement is a measurement (or, if it is, then you've chosen a particularly confusing definition of measurement tantamount to any interaction between systems with substantial uncorrelated degrees of freedom.)



That's right, not all entanglements are measurements. But all measurements are entanglements. They are the "same" in the same sense that, e.g. heat and motion are the "same", or light and radio waves are the "same". Measurement can be understood in terms of entanglement. They are not distinct physical phenomena.




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