Abstract
We investigate the interplay between mutual unbiasedness and product bases for multiple qudits of possibly different dimensions. A product state of such a system is shown to be mutually unbiased to a product basis only if each of its factors is mutually unbiased to all the states which occur in the corresponding factors of the product basis. This result implies both a tight limit on the number of mutually unbiased product bases which the system can support and a complete classification of mutually unbiased product bases for multiple qubits or qutrits. In addition, only maximally entangled states can be mutually unbiased to a maximal set of mutually unbiased product bases
| Original language | English |
|---|---|
| Article number | 02202 |
| Journal | Journal of Mathematical Physics |
| Volume | 57 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 14 Mar 2016 |