# Fisher information of a Black Hole Spacetime

@inproceedings{Patterson2022FisherIO, title={Fisher information of a Black Hole Spacetime}, author={Everett Patterson and Robert B. Mann}, year={2022} }

: Relativistic quantum metrology is the study of optimal measurement proce-dures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar ﬁeld as probes of thermal parameters in diﬀerent spacetimes via a relativistic quantum metrology analysis. We consider both 3-dimensional Anti-de Sitter and BTZ black hole spacetimes. We compute the Fisher information to identify characteristics of the black hole spacetime and to…

## References

SHOWING 1-10 OF 47 REFERENCES

### Fisher information as a probe of spacetime structure: relativistic quantum metrology in (A)dS

- PhysicsJournal of High Energy Physics
- 2021

Relativistic quantum metrology studies the maximal achievable precision for estimating a physical quantity when both quantum and relativistic effects are taken into account. We study the relativistic…

### Gravitational time dilation as a resource in quantum sensing

- Physics
- 2022

Atomic clock interferometers are a valuable tool to test the interface between quantum theory and gravity, in particular via the measurement of gravitational time dilation in the quantum regime.…

### Probing thermal effects on static spacetimes with Unruh-DeWitt detectors

- Physics
- 2022

In the lack of a full-fledged theory of quantum gravity, I consider free, scalar, quantum fields on curved spacetimes to gain insight into the interaction between quantum and gravitational phenomena.…

### Entanglement harvesting with a twist

- PhysicsAVS Quantum Science
- 2022

One consequence of the cosmic censorship conjecture is that any topological structure will ultimately collapse to within the horizons of a set of black holes, and as a result, an external classical…

### Quantum imprints of gravitational shockwaves

- PhysicsJournal of High Energy Physics
- 2021

Gravitational shockwaves are simple exact solutions of Einstein equations representing the fields of ultrarelativistic sources and idealized gravitational waves (shocks). Historically, much work has…

### Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect

- Physics
- 2021

On an $n$-dimensional, massless, topological black hole with hyperbolic sections, we construct the two-point function both of a ground state and of a thermal state for a real, massive, free scalar…

### Entanglement amplification from rotating black holes

- PhysicsClassical and Quantum Gravity
- 2021

The quantum vacuum has long been known to be characterized by field correlations between spacetime points. We show that such correlations—vacuum entanglement—in the environment of near-extremal black…

### Rotating Gauss-Bonnet BTZ Black Holes

- Physics
- 2020

We obtain rotating black hole solutions to the novel 3D Gauss-Bonnet theory of gravity recently proposed. These solutions generalize the BTZ metric and are not of constant curvature. They possess an…

### Quantum Metrology with Indefinite Causal Order.

- MathematicsPhysical review letters
- 2020

This work addresses the study of quantum metrology enhanced by indefinite causal order, demonstrating a quadratic advantage in the estimation of the product of two average displacements in a continuous variable system and proves that no setup can have root-mean-square error vanishing faster than the Heisenberg limit 1/N.