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For questions about purification of quantum states.

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Does the unitary freedom in choice of Kraus operators come from the freedom in the choice of...

Does the unitary freedom in the choice of Kraus operators for a given quantum channel just come from the unitary freedom in choice of purification of a quantum state? Here's what I'm thinking. … So, they can be purified and there is unitary freedom in the choice of purification. Tracing out the auxiliary state seems to explain why there is unitary freedom in the choice of Kraus operators. …
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