Open AccessPosted Content
Metrology with entangled coherent states - a quantum scaling paradox
Reads0
Chats0
TLDR
The results are based on new information-theo bounds for the average information gain and error of any phase estimation scheme, and generalise to estimates of shifts generated by any operator having discrete eigenvalues.Abstract:
only partially ameliorated via iterative implementations of the proposed schemes. The results are based on new information-theo bounds for the average information gain and error of any phase estimation scheme, and generalise to estimates of shifts generated by any operator having discrete eigenvalues.read more
Citations
More filters
Journal ArticleDOI
Entropic Heisenberg limits and uncertainty relations from the Holevo information bound
TL;DR: In this paper, strong and general entropic and geometric Heisenberg limits are obtained, for estimates of multiparameter unitary displacements in quantum metrology, such as the estimation of a magnetic field from the induced rotation of a probe state in three dimensions.
Journal ArticleDOI
Super-additivity in communication of classical information through quantum channels from a quantum parameter estimation perspective
TL;DR: In this paper, the authors identify a weak estimation regime where a strong connection between concepts crucial to the two fields is demonstrated; the accessible information and the Holevo quantity on one side and the quantum Fisher information related quantities on the other.
Journal ArticleDOI
Better Heisenberg Limits, Coherence Bounds, and Energy-Time Tradeoffs via Quantum Rényi Information
TL;DR: In this article , an uncertainty relation for the Rényi entropies of conjugate quantum observables is used to obtain a strong Heisenberg limit of the form RMSE≥f(α)/(〈N〉+12), bounding the root mean square error of any estimate of a random optical phase shift in terms of average photon number.
References
More filters
Book
Quantum detection and estimation theory
TL;DR: In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.
Book
Quantum Measurement and Control
TL;DR: In this paper, the authors present a comprehensive treatment of modern quantum measurement and measurement-based quantum control, which are vital elements for realizing quantum technology, including quantum information, quantum metrology, quantum control and related fields.
Journal ArticleDOI
Generalized uncertainty relations: Theory, examples, and Lorentz invariance
TL;DR: In this article, the authors introduce a broader framework that allows us to derive quantum-mechanical limits on the precision to which a parameter -e.g., elapsed time -may be determined via arbitrary data analysis of arbitrary measurements on N identically prepared quantum systems.