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I am getting confused about the meaning of the term ancilla qubit What could i do to prove it It's use seems to vary a lot in different situations

For instance, the cnot can be implemented using joint zz measurement and joint xx measurement and using an additional ancilla qubit It seems it is not possible without additional gates To generate the clifford group, it would be sufficient to have similar gadgets for s and h

How does one achieve a hadamard gate just using.

How do i specify this ancilla qubit in my initial_layout parameter when i am trying to transpile the circuit using qiskit.transpile Or alternatively, how do i assign only 4 of these virtual qubits to 5 physical qubits using the same initial_layout parameter? The ancilla shouldn't be entangled with the main register after every iteration and the same ancilla qubit should be able to be reused for every iteration, in fact the ancilla's state shouldn't change at all due to phase kickback In the above linked paper, the authors were able to greatly reduce the circuit depth required for implementing an arbitrary quantum state by introducing an ancilla register with the same size as the system register and performing controlled swaps between them

This seems to be similar to a lot of width vs depth tradeoff people observe in. The ancilla tells us about the errors, not the underlying logical state The second figure shows a way where we keep all the data qubits and ancilla qubits inside the orange region I tried using reset gate, but it wouldn’t work here as it collapses to one of the branches

I tried thinking of resetting the ancilla controlled on whether the third and fourth qubits are in the $|01\rangle, |10\rangle$ state after swapping, but this will cause other states which does not have the ancilla in the $|1\rangle$ state to flip too.

Currently, i am implementing a cx gate in stim with the help of lattice surgery, and i am a bit confused why there are multiple ways of implementing it I have tried to make a toffoli gate using only cnots and some ancilla qubits but i do not get the unitary

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