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Mutually unbiased product bases for multiple qudits

Autor(en)
Daniel McNulty, Bogdan Pammer, Stefan Weigert
Abstrakt

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

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Olmützer Palacky-Universität, Hanyang University, University of York
Journal
Journal of Mathematical Physics
Band
57
Anzahl der Seiten
11
ISSN
0022-2488
DOI
https://doi.org/10.1063/1.4943301
Publikationsdatum
03-2016
Peer-reviewed
Ja
ÖFOS 2012
103024 Quantenfeldtheorie, 103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Statistical and Nonlinear Physics, Mathematical Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/6c5262f8-1c8c-4898-9214-598658add0cb