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If your goal however is to create another ancilla registers that cannot exceed a limit of qubits, what you can do is This basically is a standard entanglement distillation protocol, just people usually describe the measurement using a povm instead of having to introduce an extra qubit. Ancillas = quantumregister(r, 'ancillas') return ancillas def create_ancillas_limited(partial_ancillas,r=5)

I am currently trying to implement the logical cnot gate via lattice surgery between two surface code patches with one ancilla patch in between Remember that whatever parallelism is happening as your quantum state evolves, once you measure you're going to collapse all of that Following this diagram from austin fowler, craig gid.

The second figure shows a way where we keep all the data qubits and ancilla qubits inside the orange region

4 i'm trying to implement the hhl algorithm generally for any 2 x 2 hermitian matrix, but i'm having trouble with the implementation of the controlled rotation of the ancilla qubit I've read very many posts on this site and have found two primary methods to achieve such a rotation. Are these two approaches equivalent $\textbf {confusion 3:}$ when the hilbert space is enlarged by attaching an ancilla, to realise the povm, is the pvm performed on the ancilla alone or on the total system (original system + ancilla)?

I am getting confused about the meaning of the term ancilla qubit It's use seems to vary a lot in different situations The ancilla tells us about the errors, not the underlying logical state The circuit acts on a register of data qubits and ancilla qubits, where data qubits hold the encoded state and ancilla qubits are measured at the end of each extraction circuit*

So, this isn't a question with a single correct physical answer

In general, though i would say that the parallel nature of quantum algorithms is dramatically overplayed, especially in older literature and a lot of the popular science press

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