Multiacces quantum communication and product higher rank numerical range

Maciej Demianowicz; Paweł Horodecki; Karol Życzkowski

Multiacces quantum communication and product higher rank numerical range

Abstract

In the present paper we initiate the study of the product higher rank numerical range. The latter, being a variant of the higher rank numerical range, is a natural tool for study- ing a construction of quantum error correction codes for multiple access channels. We review properties of this set and relate it to other numerical ranges, which were recently introduced in the literature. Further, the concept is applied to the construction of codes for bi–unitary two–access channels with a hermitian noise model. Analytical techniques for both outerbounding the product higher rank numerical range and determining its exact shape are developed for this case. Finally, the reverse problem of constructing a noise model for a given product range is considered.

Authors (3)

Maciej Demianowicz dr hab. inż.
Paweł Horodecki prof. dr hab.
Karol Życzkowski
- Jagiellonian University Smoluchowski Institute of Physics

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: QUANTUM INFORMATION & COMPUTATION no. 13, pages 541 - 566,
ISSN: 1533-7146
Language:: English
Publication year:: 2013
Bibliographic description:: Demianowicz M., Horodecki P., Życzkowski K.: Multiacces quantum communication and product higher rank numerical range// QUANTUM INFORMATION & COMPUTATION. -Vol. 13, nr. 7/8 (2013), s.541-566
Verified by:: Gdańsk University of Technology