One-qubit reduced states of a pure many-qubit state: polygon inequalities
classification
🪐 quant-ph
keywords
statesinequalitiesone-qubitpolygonpurereducedstatecondition
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We show that a necessary and sufficient condition for a set of $n$ one-qubit mixed states to be the reduced states of a pure $n$-qubit state is that their smaller eigenvalues should satisfy polygon inequalities: no one of them can exceed the sum of the others.
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