chenfried13Dec17laa.pdf (336.73 kB)

The tensor rank of tensor product of two three-qubit W states is eight

Download (336.73 kB)
journal contribution
posted on 19.06.2018 by Lin Chen, Shmuel Friedland
We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.

Funding

LC was supported by the NNSF of China (Grant No. 11501024), Beijing Natural Science Foundation (4173076), and the Fundamental Research Funds for the Central Universities (Grant Nos. KG12001101, ZG216S1760 and ZG226S17J6).

History

Citation

Chen, L. and Friedland, S. The tensor rank of tensor product of two three-qubit W states is eight. Linear Algebra and Its Applications. 2018. 543: 1-16. 10.1016/j.laa.2017.12.015

Publisher

Elsevier

Language

en_US

issn

0024-3795

Issue date

01/08/2017

Exports

Categories

Exports