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quant-ph2026
Joint measurability of coplanar POVMs
Taro Yoshino, Koichi Tojo, Kei Hagihara +2
An unbiased qubit positive operator-valued measure (POVM) can be uniquely expressed in terms of the Bloch vector. We prove that for POVMs with coplanar Bloch vectors, they are join…
math.DG2026
Equivalence on exponential families as Hessian manifolds and classification of exponential families of order 1 with constant Hessian sectional curvature
Koichi Tojo, Taro Yoshino
We introduce an equivalence relation on exponential families, and prove that two exponential families are equivalent in this sense if and only if the corresponding induced Hessian…