Mutually Unbiased Product Bases for Multiple Qudits
Quantum Physics
2016-03-18 v2
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.
Cite
@article{arxiv.1510.08085,
title = {Mutually Unbiased Product Bases for Multiple Qudits},
author = {Daniel McNulty and Bogdan Pammer and Stefan Weigert},
journal= {arXiv preprint arXiv:1510.08085},
year = {2016}
}
Comments
15 pages, identical to published version