Supplementary Information: Quantum-enhanced multiparameter estimation in multiarm interferometers
نویسندگان
چکیده
To prove Eq. (S1) we recall that the square root of the positive definite Fisher matrix is given by the matrix with the same (orthonormal) eigenvectors as F and the square root of its eigenvalues. We indicate as fi > 0 and vi (with v> i vj = δi,j) the eigenvalues and eigenvectors of F, respectively (Fvi = fivi). Notice that F is real and symmetric and thus diagonalize. In addition, F is positive semidefinite (therefore fi ≥ 0) and assuming that F is invertible we have fi 6= 0. We write
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Quantum-enhanced multiparameter estimation in multiarm interferometers
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