# Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices

@article{Toth2021UncertaintyRW, title={Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices}, author={G'eza T'oth and Florian Fr{\"o}wis}, journal={Physical Review Research}, year={2021} }

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## 3 Citations

### Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories

- Physics
- 2022

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### Uncertainty principle of discrete Fourier transform and quantum incompatibility

- Computer Science
- 2022

An uncertainty principle for DFT is proved which generalizes the well-known uncertainty principle proved by Terence Tao in 2005 and relates DFT to the quantum incompatibility of two Von Neumann measurements.

### Standard symmetrized variance with applications to coherence, uncertainty, and entanglement

- Education, Materials SciencePhysical Review A
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Variance is a ubiquitous quantity in quantum information theory. Given a basis, we consider the averaged variances of a ﬁxed diagonal observable in a pure state under all possible permutations on the…

### Quantum Fisher Information Dynamics in the Presence of Intrinsic Decoherence

- PhysicsInternational Journal of Theoretical Physics
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We investigate the dynamics of quantum Fisher information (QFI) in two qubits when coupled to an external magnetic field. Isotropy, Dzyaloshinskii-Moriya interaction strength, magnetic field…

### Improving sum uncertainty relations with the quantum Fisher information

- Materials SciencePhysical Review Research
- 2022

Shao-Hen Chiew1, 2, 3, 4 and Manuel Gessner1, 5, ∗ 1Laboratoire Kastler Brossel, ENS-Université PSL, CNRS, Sorbonne Université, Collège de France, 24 Rue Lhomond, 75005, Paris, France 2Department of…

### Achieving Heisenberg limit in the phase measurement through three-qubit graph states

- Physics
- 2022

We study the reciprocal of the mean quantum Fisher information (RMQFI), χ 2 for general three qubit states, having graph and hypergraph states as special cases, for identifying genuine multi party…

### Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles

- Physics
- 2021

We present a method to detect bipartite entanglement based on number-phase-like uncertainty relations in split spin ensembles. First, we derive an uncertainty relation that plays the role of a…

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