One-qubit reduced states of a pure many-qubit state: polygon inequalities
A. Higuchi, A. Sudbery, J. Szulc
Abstract
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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