Quantum Fisher information matrix and multiparameter estimation

J Liu, H Yuan, XM Lu, X Wang - Journal of Physics A …, 2020 - iopscience.iop.org
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 …

An invitation to quantum incompatibility

T Heinosaari, T Miyadera, M Ziman - Journal of Physics A …, 2016 - iopscience.iop.org
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 …

Colloquium: Quantum root-mean-square error and measurement uncertainty relations

P Busch, P Lahti, RF Werner - Reviews of Modern Physics, 2014 - APS
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 …

Quantum state estimation with nuisance parameters

J Suzuki, Y Yang, M Hayashi - Journal of Physics A: Mathematical …, 2020 - iopscience.iop.org
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 …

Quantum semiparametric estimation

M Tsang, F Albarelli, A Datta - Physical Review X, 2020 - APS
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 …

Attaining the ultimate precision limit in quantum state estimation

Y Yang, G Chiribella, M Hayashi - Communications in Mathematical …, 2019 - Springer
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 …

Experimental test of error-disturbance uncertainty relations by weak measurement

F Kaneda, SY Baek, M Ozawa, K Edamatsu - Physical review letters, 2014 - APS
We experimentally test the error-disturbance uncertainty relation (EDR) in generalized,
strength-variable measurement of a single photon polarization qubit, making use of weak …

Quantum Fisher information in noninertial frames

Y Yao, X **ao, L Ge, X Wang, C Sun - Physical Review A, 2014 - APS
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 …

Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation

SY Baek, F Kaneda, M Ozawa, K Edamatsu - Scientific reports, 2013 - nature.com
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 …

Experimental test of universal complementarity relations

MM Weston, MJW Hall, MS Palsson, HM Wiseman… - Physical Review Letters, 2013 - APS
Complementarity restricts the accuracy with which incompatible quantum observables can
be jointly measured. Despite popular conception, the Heisenberg uncertainty relation does …