- #1
randomuser3210
- 10
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Given the Bell State in Z basis ##\psi = (a\uparrow \downarrow - b\downarrow \uparrow )## where ##a^2+b^2=1##.
Now Alice has one particle and sends the other to Bob. Suppose Alice decides to measure her particle in Z direction. Thus entanglement collapses.
Query:
1. How do we know which state the entanglement has collapsed to (if measured in Z axis). I mean both states give one ##\uparrow## and one ##\downarrow ##. So how do we know the collapse was the state ##\uparrow \downarrow ## or ##\downarrow \uparrow##?
2. Changing the value of a and b also seems to have no effect as long as we limit ourselves to Z axis a we always get one ##\uparrow## and one ##\downarrow ##?
P.S. We are limiting ourselves to Z-axis only.
What am I missing ?
Now Alice has one particle and sends the other to Bob. Suppose Alice decides to measure her particle in Z direction. Thus entanglement collapses.
Query:
1. How do we know which state the entanglement has collapsed to (if measured in Z axis). I mean both states give one ##\uparrow## and one ##\downarrow ##. So how do we know the collapse was the state ##\uparrow \downarrow ## or ##\downarrow \uparrow##?
2. Changing the value of a and b also seems to have no effect as long as we limit ourselves to Z axis a we always get one ##\uparrow## and one ##\downarrow ##?
P.S. We are limiting ourselves to Z-axis only.
What am I missing ?