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Mutually unbiased bases as extremal probes of isotropic random Hamiltonians
Mutually unbiased bases (MUBs) are central finite structures in quantum information. We ask whether complete MUB systems have an extremal probing property beyond their projective \(2\)-design identities. For an isotropic Gaussian traceless Hamiltonian, we prove that, among labeled unions of \(d+1\)
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