Quantum estimation for quantum technology

@article{Paris2008QuantumEF,
  title={Quantum estimation for quantum technology},
  author={Matteo G. A. Paris},
  journal={International Journal of Quantum Information},
  year={2008},
  volume={07},
  pages={125-137}
}
  • M. Paris
  • Published 18 April 2008
  • Physics
  • International Journal of Quantum Information
Several quantities of interest in quantum information, including entanglement and purity, are nonlinear functions of the density matrix and cannot, even in principle, correspond to proper quantum o... 

Figures from this paper

No Advantage to Entanglement in Bit Flip Parameter Estimation
TLDR
It is shown that entanglement offers no advantage for multiple channel, and optimal estimation of the parameter describing a bit-flip channel is considered.
About the quantum Fisher information of nearly pure quantum statistical models
We address nearly pure quantum statistical models, i.e. situations where the information about a parameter is encoded in pure states weakly perturbed by the mixing with a parameter independent stat...
Statistical estimation of the quality of quantum-tomography protocols
We present a complete methodology for testing the performances of quantum tomography protocols. The theory is validated by several numerical examples and by the comparison with experimental results
Self-Calibrating Quantum State Tomography
We report on a scheme for performing quantum state tomography using only unknown, repeatable, unitary operations and one measurement basis. We recover the quantum state as well as the quantum process
Experimental estimation of entanglement at the quantum limit.
TLDR
An experiment is presented where the amount of entanglement of a family of two-qubit mixed photon states is estimated with the ultimate precision allowed by quantum mechanics.
Optimal distributed quantum sensing using Gaussian states
The authors find the optimal setup of distributed quantum sensing using multimode Gaussian states for estimating the average value of phases encoded in the distributed modes. The results demonstrate
Invertible condition of quantum Fisher information matrix for a mixed qubit
Estimating multiparamter simultaneously as precise as possible is an important goal of quantum metrology. As a first step to this end, here we give a condition determining whether two arbitrary
Quantum Fisher Information for Density Matrices with Arbitrary Ranks
TLDR
This work provides a new expression of the quantum Fisher information (QFI) for a general system that can bring convenience for an infinite-dimensional density matrix with a finite support.
Determining the quantum expectation value by measuring a single photon
A photonic experiment demonstrates protective measurements, a type of weak measurements. These make it possible to determine the expectation value of the polarization of a photon from a single
Quantum metrology out of equilibrium
...
...

References

SHOWING 1-10 OF 64 REFERENCES
Optimal estimation of one-parameter quantum channels
TLDR
This work derives new characterizations of optimality and applies the results to several examples including the qubit depolarizing channel and the harmonic oscillator damping channel to explore the task of optimal quantum channel identification and the estimation of a general one-parameter quantum process.
Statistical distance and the geometry of quantum states.
By finding measurements that optimally resolve neighboring quantum states, we use statistical distinguishability to define a natural Riemannian metric on the space of quantum-mechanical density
Fidelity for Mixed Quantum States
Abstract We propose a definition of fidelity for mixed quantum states in terms of Uhlmann's ‘transition probability’ formula F(ϱ1, ϱ2) = {trace [(√ϱ1ϱ2 × √ϱ1)1/2]}2 and give new elementary proofs of
Information-disturbance tradeoff in quantum measurements
We present a simple information-disturbance tradeoff relation valid for any general measurement apparatus: The disturbance between input and output states is lower bounded by the information the
Optimal quantum estimation of the coupling between two bosonic modes
We address the problem of the optimal quantum estimation of the coupling parameter of a bilinear interaction, such as the transmittivity of a beamsplitter or the internal phase-shift of an
“Simultaneous measurement” from the standpoint of quantum estimation theory
The purpose of the simultaneous measurement of noncommuting quantum observables can be viewed as the joint estimation of parameters of the density operator of the quantum system. Joint estimation
Operational interpretation for global multipartite entanglement.
We introduce an operational interpretation for pure-state global multipartite entanglement based on quantum estimation. We show that the estimation of the strength of low-noise locally depolarizing
Quantum criticality as a resource for quantum estimation
We address quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters. In particular, if $L$
...
...