One-qubit reduced states of a pure many-qubit state: polygon inequalities

Physics – Quantum Physics

Scientific paper

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Contains some further discussion of the results. Published version

Scientific paper

10.1103/PhysRevLett.90.107902

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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