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...
متن کاملQuantum-enhanced multiparameter estimation in multiarm interferometers
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...
متن کاملMultiparameter Estimation in Networked Quantum Sensors.
We introduce a general model for a network of quantum sensors, and we use this model to consider the following question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, ...
متن کاملFisher information in quantum statistics
Braunstein and Caves (Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439– 43) proposed to use Helstrom’s quantum information number to define, meaningfully, a metric on the set of all possible states of a given quantum system. They showed that the quantum information is nothing other than the maximal Fisher information in a measurement of the quantum system, maximized over all possible ...
متن کاملIntroduction to quantum Fisher information
The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal is the most popular. There is a one-to-one correspondence between Fisher informations (called als...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2019
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab5d4d