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In the Bell experiment, the outcomes of measurements done on Particle #2 depend nonlocally on the outcomes of measurements done on Particle #1 (and vice-versa).

In the Bell experiment, the outcomes of measurements done on Particle #2 depend nonlocally on the outcomes of measurements done on Particle #1 (and vice-versa). So, for instance, if at time t=0 Particle #1 is measured to have spin-down-along-z-axis, then instantaneously, Particle #2 will be in a state of spin-up-along-z-axis, and so when measured, will yield the value spin-up. Explain, in your own words, why this non-locality of measurement outcome dependence cannot be used to send instantaneous signals across great distances. In particular, suppose Alice and Bob are very (very) far apart, and Alice wants to send Bob a signal to push a certain button. What's wrong with the following protocol? (Suppose Alice has Particle #1 in her possession and Bob has Particle #2 and both particles are in an entangled state.) Alice's instructions: At time t=0 measure the Spin-along-z-axis of Particle #1. Bob's instructions: At time t=0 measure the Spin-along-z-axis of Particle #2. If it's spin- up, push the Button. If it's spin-down, don't push the button.

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