0
$\begingroup$

Suppose that I have a Quantum Circuit with $N$ qubits initialized to $|0\rangle$. The Quantum circuit is described by the followin Figure:

The angles of the rotations $R_y$ are random. At which point of the circuit I can say that in general the generic qubit $i$ is entangled with the generic qubit $j$ (Regardless of $N$) ? How can I prove it?

(Of course there are come specific case where we have trivial state due to some particular rotations, but I'm not interested in them)

Improve this question
$\endgroup$
1
  • $\begingroup$ Your statement will be probabilistic. I.e. with high probability i and j are entangled and a necessary condition is that there is some path in the circuit that connects qubits i and j where the cnot gates connect the different wires. I guess how deep the circuit needs to be will depend on how close the qubits initially were. $\endgroup$
    – Rammus
    Dec 3, 2022 at 13:59

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.