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