Question

How does a non-local unitary operator differ from a local one?

Answer 1

I know that entanglement is conserved under local unitary operations, but haven't heard a lot about their non-local counterparts. Recently, I read that a CNOT gate which is unitary, can create entanglement, does that mean it's a non-local operator? What are their properties, how do they differ from local ones, and what effects do they have on states.

Answer 2

Hey mate ^_^

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Answer:
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Under local unitary operator entanglement is conserved, but haven't heard a lot about their non-local counterparts. Under non-local operator CNOT gate can create entanglement. There are some properties, and yes, they do differ from local ones, and also have some kind of effects on their respective states.

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