Completely positive semidefinite rank

An n× n matrix X is called completely positive semidefinite (cpsd) if there exist d× d Hermitian positive semidefinite matrices {Pi}i=1n (for some d≥ 1) such that Xij= Tr (PiPj) , for all i, j∈ { 1 , … , n}. The cpsd-rank of a cpsd matrix is the smallest d≥ 1 for which such a representation is possi...

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Bibliographic Details
Main Authors: Prakash, Anupam, Sikora, Jamie, Varvitsiotis, Antonios, Wei, Zhaohui
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/139101
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Institution: Nanyang Technological University
Language: English