Quantum-enhanced multiparameter estimation in multiarm interferometers
نویسندگان
چکیده
Quantum metrology is the state-of-the-art measurement technology. It uses quantum resources to enhance the sensitivity of phase estimation over that achievable by classical physics. While single parameter estimation theory has been widely investigated, much less is known about the simultaneous estimation of multiple phases, which finds key applications in imaging and sensing. In this manuscript we provide conditions of useful particle (qudit) entanglement for multiphase estimation and adapt them to multiarm Mach-Zehnder interferometry. We theoretically discuss benchmark multimode Fock states containing useful qudit entanglement and overcoming the sensitivity of separable qudit states in three and four arm Mach-Zehnder-like interferometers - currently within the reach of integrated photonics technology.
منابع مشابه
Supplementary Information: Quantum-enhanced multiparameter estimation in multiarm interferometers
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 positiv...
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