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Uniqueness of size-2 positive semidefinite matrix factorizations

open access: yes
We characterize when a size-2 positive semidefinite (psd) factorization of a positive matrix of rank 3 and psd rank 2 is unique. The characterization is obtained using tools from rigidity theory. In the first step, we define s-infinitesimally rigid psd factorizations and characterize 1- and 2-infinitesimally rigid size-2 psd factorizations.
Dawson, Kristen   +3 more
openaire   +2 more sources

Constrained shadow tomography for molecular simulation on quantum devices. [PDF]

open access: yesChem Sci
Avdic I   +6 more
europepmc   +1 more source

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