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Sorry for this easy questions. That is a simple textbook question but I don't know how to solve it.

I have the following circuit:

enter image description here

The question was "use stabilizers to simulate the circuit"

My first question is: what is the difference between solving this circuit and solving it with stabilizers?
How can I use stabilizers to simulate the circuit? What will be the stabilizers corresponding to the output? (I first wanted to write what stabilize the state = $|0\rangle|+\rangle$. It should be two qubit Pauli like $XX$ but I am not sure)

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  • $\begingroup$ Probably need a bit more context to actually answer this. This is a Clifford circuit, and stabilizers play a role in simulating Clifford circuits, so maybe that's what this is referring to? $\endgroup$
    – xzkxyz
    Oct 18, 2022 at 7:05

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