Relativistic Quantum Metrology in Open System Dynamics

@article{Tian2015RelativisticQM,
  title={Relativistic Quantum Metrology in Open System Dynamics},
  author={Zehua Tian and Jieci Wang and Heng Fan and Jiliang Jing},
  journal={Scientific Reports},
  year={2015},
  volume={5}
}
Quantum metrology studies the ultimate limit of precision in estimating a physical quantity if quantum strategies are exploited. Here we investigate the evolution of a two-level atom as a detector which interacts with a massless scalar field using the master equation approach for open quantum system. We employ local quantum estimation theory to estimate the Unruh temperature when probed by a uniformly accelerated detector in the Minkowski vacuum. In particular, we evaluate the Fisher… 

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References

SHOWING 1-10 OF 64 REFERENCES

Qubit thermometry for micromechanical resonators

We address estimation of temperature for a micromechanical oscillator lying arbitrarily close to its quantum ground state. Motivated by recent experiments, we assume that the oscillator is coupled to

Quantum metrology for relativistic quantum fields

In quantum metrology quantum properties such as squeezing and entanglement are exploited in the design of a new generation of clocks, sensors and other measurement devices that can outperform their

Quantum speed limits in open system dynamics.

A time-energy uncertainty relation is derived for open quantum systems undergoing a general, completely positive, and trace preserving evolution which provides a bound to the quantum speed limit.

Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies

A high precision device is presented which in principle improves the state-of-the-art in quantum accelerometers by exploiting relativistic effects, which allows for high precision estimation of parameters that appear in quantum field theory including proper times and accelerations.

QUANTUM MEASUREMENTS OF ATOMS USING CAVITY QED

Generalized quantum measurements are an important extension of projective or von Neumann measurements in that they can be used to describe any measurement that can be implemented on a quantum system.

Understanding Hawking radiation in the framework of open quantum systems

We study the Hawking radiation in the framework of open quantum systems by examining the time evolution of a detector (modeled by a two-level atom) interacting with vacuum massless scalar fields. The

Advances in quantum metrology

The statistical error in any estimation can be reduced by repeating the measurement and averaging the results. The central limit theorem implies that the reduction is proportional to the square root

Optimal quantum estimation of the Unruh-Hawking effect.

It is proved that a field in a Fock inertial state, probed via photon counting by a noninertial detector, realizes the optimal strategy attaining the ultimate sensitivity allowed by quantum mechanics for the observation of the Unruh-Hawking effect.

Entanglement in Non-inertial Frames

This thesis considers entanglement, an important resource for quantum information processing tasks, while taking into account the theory of relativity. Not only is this a more complete description of

Optimal phase measurements with pure Gaussian states

We analyze the Heisenberg limit on phase estimation for Gaussian states. In the analysis, no reference to a phase operator is made. We prove that the squeezed vacuum state is the most sensitive for a
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