Separability of multi-qubit states in terms of diagonal and anti-diagonal entries
Abstract
We give separability criteria for general multi-qubit states in terms of diagonal and anti-diagonal entries. We define two numbers which are obtained from diagonal and anti-diagonal entries, respectively, and compare them to get criteria. They give rise to characterizations of separability when all the entries are zero except for diagonal and anti-diagonal, like Greenberger-Horne-Zeilinger diagonal states. The criteria are strong enough to detect nonzero volume of entanglement with positive partial transposes.
- Publication:
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Quantum Information Processing
- Pub Date:
- January 2019
- DOI:
- 10.1007/s11128-018-2145-x
- arXiv:
- arXiv:1803.00175
- Bibcode:
- 2019QuIP...18...34H
- Keywords:
-
- Quantum Physics
- E-Print:
- 26 pages, to appear in Quantum Information Processing