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blue_leaf77
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What if there is only Alice in the system? How will you get the other 1/4 to give 1/16 after the multiplication?teodorakis said:BUT the probability of Alice meeting Bob at a specificied location is 1:16, ie. 4 squared.
The probability being modulus squared is a consequence of the basis representation of state posutlate. Expanding a state ##|\psi \rangle## into some complete orthonormal basis states ##\left\{ |u_n\rangle \right\}##, and taking the inner product, you will get ##\sum_n \langle u_n|u_n \rangle = 1##. This is where the modulus squaring of a state is interpreted as a probability because probabilities add up to unity. For the probability of a quantum object being found in a particular position, the representing basis states are the position basis state ##|\mathbf{r}\rangle##
Yes, it is in fact one of the postulates of QM.teodorakis said:Should i accept this as a postulate of the qm