One-qubit reduced states of a pure many-qubit state: polygon inequalities
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: each of them must be no greater than the sum of the others.
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| Veröffentlicht in: | Physical review letters 2003-03, Vol.90 (10), p.107902-107902, Article 107902 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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: each of them must be no greater than the sum of the others. |
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| ISSN: | 0031-9007 1079-7114 |
| DOI: | 10.1103/PhysRevLett.90.107902 |