# Measure of the density of quantum states in information geometry and quantum multiparameter estimation

@article{Xing2020MeasureOT, title={Measure of the density of quantum states in information geometry and quantum multiparameter estimation}, author={Haijun Xing and Libin Fu}, journal={Physical Review A}, year={2020} }

Recently, there is a growing interest in study quantum mechanics from the information geometry perspective, where a quantum state is depicted with a point in the projective Hilbert space. By taking quantum Fisher information (QFI) as the metric of projective Hilbert spaces, estimating a small parameter shift is equivalent to distinguishing neighboring quantum states along a given curve. Henceforth, information geometry plays a significant role in the single parameter estimation. However, the…

## 4 Citations

Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation.

- PhysicsPhysical review letters
- 2021

This work finds a correspondence relationship between the inaccuracy of a measurement for estimating the unknown parameter with the measurement error in the context of measurement uncertainty relations and incorporates Heisenberg's uncertainty principle into quantum multiparameter estimation by giving a trade-off relation between the measurement inaccuracies for estimating different parameters.

Generalization of Rayleigh's Curse on Parameter Estimation with Incoherent Sources

- Physics
- 2020

The basic idea behind Rayleigh’s criterion on resolving two incoherent optical point sources is that the overlap between the spatial modes from different sources would reduce the estimation precision…

Generalization of Rayleigh's criterion on parameter estimation with incoherent sources

- Physics
- 2021

The basic idea behind Rayleigh's criterion on resolving two incoherent optical point sources is that the overlap between the spatial modes from different sources would reduce the estimation precision…

Measure of quantum Fisher information flow in multi-parameter scenario

- Physics
- 2021

We generalize the quantum Fisher information flow proposed by Lu et al. [Phys. Rev. A 82, 042103 (2010)] to the multi-parameter scenario from the information geometry perspective. A measure named the…

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