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arXiv · 1510.08085

Mutually Unbiased Product Bases for Multiple Qudits

Daniel McNulty·Bogdan Pammer·Stefan Weigert
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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.

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Daniel McNulty, Bogdan Pammer, Stefan Weigert. 2016-03-17. Mutually Unbiased Product Bases for Multiple Qudits. https://doi.org/10.1063/1.4943301

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