Abstract
All mutually unbiased bases in dimension 6 consisting of product states only are constructed. Several continuous families of pairs and two triples of mutually unbiased product bases are found to exist but no quadruple. The exhaustive classification leads to a proof that a complete set of seven mutually unbiased bases, if it exists, cannot contain a triple of mutually unbiased product bases.
| Original language | English |
|---|---|
| Article number | 135307 |
| Number of pages | 22 |
| Journal | J. Phys. A: Math. Theor. |
| Volume | 45 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 6 Apr 2012 |
Keywords
- mathematical physics;
- quantum information
- quantum mechanics