Quantum Fisher information matrix and multiparameter estimation
Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …
An invitation to quantum incompatibility
In the context of a physical theory, two devices, A and B, described by the theory are called
incompatible if the theory does not allow the existence of a third device C that would have …
incompatible if the theory does not allow the existence of a third device C that would have …
Colloquium: Quantum root-mean-square error and measurement uncertainty relations
Recent years have witnessed a controversy over Heisenberg's famous error-disturbance
relation. Here the conflict is resolved by way of an analysis of the possible …
relation. Here the conflict is resolved by way of an analysis of the possible …
Quantum state estimation with nuisance parameters
In parameter estimation, nuisance parameters refer to parameters that are not of interest but
nevertheless affect the precision of estimating other parameters of interest. For instance, the …
nevertheless affect the precision of estimating other parameters of interest. For instance, the …
Quantum semiparametric estimation
In the study of quantum limits to parameter estimation, the high dimensionality of the density
operator and that of the unknown parameters have long been two of the most difficult …
operator and that of the unknown parameters have long been two of the most difficult …
Attaining the ultimate precision limit in quantum state estimation
We derive a bound on the precision of state estimation for finite dimensional quantum
systems and prove its attainability in the generic case where the spectrum is non …
systems and prove its attainability in the generic case where the spectrum is non …
Experimental test of error-disturbance uncertainty relations by weak measurement
We experimentally test the error-disturbance uncertainty relation (EDR) in generalized,
strength-variable measurement of a single photon polarization qubit, making use of weak …
strength-variable measurement of a single photon polarization qubit, making use of weak …
Quantum Fisher information in noninertial frames
We investigate the performance of quantum Fisher information (QFI) under the Unruh-
Hawking effect, where one of the observers (eg, Rob) is uniformly accelerated with respect …
Hawking effect, where one of the observers (eg, Rob) is uniformly accelerated with respect …
Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation
The uncertainty principle formulated by Heisenberg in 1927 describes a trade-off between
the error of a measurement of one observable and the disturbance caused on another …
the error of a measurement of one observable and the disturbance caused on another …
Experimental test of universal complementarity relations
Complementarity restricts the accuracy with which incompatible quantum observables can
be jointly measured. Despite popular conception, the Heisenberg uncertainty relation does …
be jointly measured. Despite popular conception, the Heisenberg uncertainty relation does …