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Witnessing Irreducible Dimension

Cong, Wan and Cai, Yu and Bancal, Jean-Daniel and Scarani, Valerio. (2017) Witnessing Irreducible Dimension. Physical Review Letters, 119 (8). 080401.

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Official URL: http://edoc.unibas.ch/58188/

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Abstract

The Hilbert space dimension of a quantum system is the most basic quantifier of its information content. Lower bounds on the dimension can be certified in a device-independent way, based only on observed statistics. We highlight that some such “dimension witnesses” capture only the presence of systems of some dimension, which in a sense is trivial, not the capacity of performing information processing on them, which is the point of experimental efforts to control high-dimensional systems. In order to capture this aspect, we introduce the notion of irreducible dimension of a quantum behavior. This dimension can be certified, and we provide a witness for irreducible dimension four.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Quantum Physics (Sangouard)
UniBasel Contributors:Sangouard, Nicolas
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:0031-9007
e-ISSN:1079-7114
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:08 Jan 2018 10:00
Deposited On:08 Jan 2018 10:00

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