- #1
Kara386
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Homework Statement
For the state
##(4|00\rangle+3i|11\rangle)\otimes (|0\rangle+i|1\rangle) + (2|01\rangle -i|10\rangle)\otimes(|0\rangle-|1\rangle)##
What's the probability of zero being the outcome of measuring the second bit and what is the state of the other two qubits after measurement?
Homework Equations
The Attempt at a Solution
Expanding the tensor product, for half the states the second qubit is zero so the probability is half, but I don't know what I can say about the state of the other two. Because in states where the second qubit is zero, the other qubits are sometimes one and sometimes zero I think? Unless I've calculated the states wrong? I had the final state after measurement as this:
##\frac{1}{\sqrt{34}} (4|000\rangle + 4i|001\rangle -i|100\rangle +i|101\rangle)##
Which tells me about all three qubits after measurement not just two of them.
Thanks for any help, I really appreciate it!
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