On Positive Partial Transpose Matrices

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Published: May 13, 2020
DOI: https://doi.org/10.13001/ela.2020.5197
Keywords:
Positive semi-definite matrix Positive partial transpose Block matrix Unitarily invariant norm

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Mehmet Gumus
University of Nevada, Reno
Jianzhen Liu
Medaille College
Samir Raouafi
Auburn University
Tin-Yau Tam
University of Nevada, Reno

Abstract




This paper mainly focuses on the class of $2 \times 2$ block PPT matrices. The relationship between PPT matrices and the norm inequalities is further explored. Some properties of a non-PPT matrix in terms of its eigenvalues are investigated. Moreover, a number of useful sufficient conditions for a matrix to be PPT are provided.




Article Details

Issue
Vol. 36 (2020)
Section
Article