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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