Phase retrievability for rank-≤k positive semidefinite operators is equivalent to separating pairs with orthogonal supports, and this yields Lipschitz trace-norm stability and Bures-Wasserstein Hölder/Lipschitz stability.
and Cahill, Jameson and Mixon, Dustin G
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Phase Retrievability of Super Operators and Measurements
Phase retrievability for rank-≤k positive semidefinite operators is equivalent to separating pairs with orthogonal supports, and this yields Lipschitz trace-norm stability and Bures-Wasserstein Hölder/Lipschitz stability.