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On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six
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Publication details
| Journal | INTERNATIONAL JOURNAL OF QUANTUM INFORMATION |
|---|---|
| Date | Published - 11 Sep 2012 |
| Issue number | 5 |
| Volume | 10 |
| Number of pages | 12 |
| Original language | English |
Abstract
An analytic proof is given which shows that it is impossible to extend any triple of mutually unbiased (MU) product bases in dimension six by a single MU vector. Furthermore, the 16 states obtained by removing two orthogonal states from any MU product triple cannot figure in a (hypothetical) complete set of seven MU bases. These results follow from exploiting the structure of MU product bases in a novel fashion, and they are among the strongest ones obtained for MU bases in dimension six without recourse to computer algebra.
- Quantum Physics (quant-ph), Mutually unbiased bases; , complementarity; , finite-dimensional quantum systems
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