Quantum Computing Asked by 299792458 on December 17, 2020
Assume Charlie has an entangled state like $psi_{00}|00rangle+psi_{11}|11rangle,$, and he wants to send one of the share qubits to Alice and then Alice does a Bell state measurement and then tells Bob the result of two bits, and then Bob recovers Charlie’s state. So if Charlie’s state is unentangled and for example one bit like $|0rangle$, then it is obvious. But my question is about the situation that Charlie’s state is entangled and then sends one share qubit to Alice. Now, I have some questions according to this circuit:
I should also mention that the Bell state of Alice and Bob’s qubits is $|beta_{00}rangle=(|00rangle+|11rangle)/sqrt2$.
I should mention that I want also the resultant state for the input $psi_{00}|00rangle+psi_{11}|11rangle,$ with $psi_{imath imath}$ any complex numbers subject to the normalization condition, subject to any one of the four ebit measurements $left|b_{1} b_{2}rightrangleleftlangle b_{1} b_{2}right|$, which $b_1$ is the share qubit that Alice has and $b_2$ is the share qubit that Bob has.
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