The asymptotic role of entanglement in quantum metrology

@article{Augusiak2015TheAR,
  title={The asymptotic role of entanglement in quantum metrology},
  author={Remigiusz Augusiak and Jan Kołodyński and Alexander Streltsov and Manabendra N Bera and Antonio Ac{\'i}n and Maciej Lewenstein},
  journal={arXiv: Quantum Physics},
  year={2015}
}
Quantum systems allow one to sense physical parameters beyond the reach of classical statistics---with resolutions greater than $1/N$, where $N$ is the number of constituent particles independently probing a parameter. In the canonical phase estimation scenario the Heisenberg Limit $1/N^{2}$ may be reached, which requires, as we show, both the relative size of the largest entangled block and the geometric measure of entanglement to be nonvanishing as $N\!\to\!\infty$. Yet, we also demonstrate… Expand

Figures from this paper

At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
We address the question whether the super-Heisenberg scaling for quantum estimation is realizable. We unify the results of two approaches. In the first one, the original system is compared with itsExpand
Continuity of the quantum Fisher information
We prove an extended continuity property for the quantum Fisher information (QFI) and the symmetric logarithmic derivative (SLD), which are general and apply to any case whether associated metrologyExpand
Lower bounds on the quantum Fisher information based on the variance and various types of entropies
We examine important properties of the difference between the variance and the quantum Fisher information over four, i.e., $(\Delta A)^2-F_{\rm Q}[\varrho,A]/4.$ We find that it is equal to aExpand
Coherence in quantum estimation
The geometry of quantum states provides a unifying framework for estimation processes based on quantum probes, and it establishes the ultimate bounds of the achievable precision. We show a relationExpand
Precision Limits in Quantum Metrology with Open Quantum Systems
Abstract The laws of quantum mechanics allow to perform measurements whose precision supersedes results predicted by classical parameter estimation theory. That is, the precision bound imposed by theExpand
Random bosonic states for robust quantum metrology
We study how useful random states are for quantum metrology, i.e., surpass the classical limits imposed on precision in the canonical phase estimation scenario. First, we prove that random pureExpand
Metrologically resourceful multipartite entanglement under quantum many-body effects
In traditional quantum metrology protocols, the initial multipartite entangled pure quantum probes are considered to be isolated, i.e., free of quantum many-body effects. Here, we study the impact ofExpand
Quantum-enhanced measurements without entanglement
Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental scienceExpand
Relative purity, speed of fluctuations, and bounds on equilibration times
We discuss the local equilibration of closed systems using the relative purity, a paradigmatic information-theoretic distinguishability measure that finds applications ranging from quantum metrologyExpand
Resource theories of quantum coherence: foundations and applications
TLDR
This thesis concentrates on understanding quantum coherence in the mathematical framework of resource theories, viewing it both as a resource to be harnessed and as a way to quantitatively characterise quantum states in contrast to classical states. Expand
...
1
2
3
...

References

SHOWING 1-10 OF 41 REFERENCES
Quantum detection and estimation theory
A review. Quantum detection theory is a reformulation, in quantum-mechanical terms, of statistical decision theory as applied to the detection of signals in random noise. Density operators take theExpand
Matrix analysis
TLDR
This new edition of the acclaimed text presents results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. Expand
Quantum Computation and Quantum Information Theory
A dual power and manual hydraulic brake system for a motor vehicle including a fluid pressure operated mechanism for actuating wheel brake shoes or the like, a master cylinder containing a power orExpand
Theory of point estimation
TLDR
This paper presents a meta-analyses of large-sample theory and its applications in the context of discrete-time reinforcement learning, which aims to clarify the role of reinforcement learning in the reinforcement-gauging process. Expand
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
A: Math
  • Theor. 47, 424006 (2014); R. Demkowicz-Dobrzański, M. Jarzyna, and J. Kołodyński, in Progress in Optics, Vol. 60, edited by E. Wolf
  • 2015
A 41
  • 255304 (2008); B. M. Escher, R. L. de Matos Filho, and L. Davidovich, Nature Phys. 7, 406 (2011); R. Demkowicz-Dobrzański, J. Kołodyński, and M. Guţă, Nat. Commun. 3, 1063 (2012); S. I. Knysh, E. H. Chen, and G. A. Durkin,
  • 2014
New J
  • Phys. 15, 073043 (2013); J. Kołodyński, Precision bounds in noisy quantum metrology, Ph.D. thesis, University of Warsaw
  • 2014
Science 306
  • 1330
  • 2004
Phys
  • Rev. A 40, 4277
  • 1989
...
1
2
3
4
5
...