Fisher Information in Moving Extreme Ranked Set Sampling with Application to Parameter Estimation

2021 ◽  
Author(s):  
Dongsen Yao ◽  
Wangxue Chen ◽  
Rui Yang ◽  
Chunxian Long
Keyword(s):  
Parameter Estimation ◽  
Fisher Information ◽  
Ranked Set Sampling ◽  
Extreme Ranked Set Sampling

scholarly journals Multi-parameter estimation beyond quantum Fisher information

2020 ◽  
Vol 53 (36) ◽  
pp. 363001 ◽  
Author(s):  
Rafał Demkowicz-Dobrzański ◽  
Wojciech Górecki ◽  
Mădălin Guţă
Keyword(s):  
Parameter Estimation ◽  
Fisher Information ◽  
Quantum Fisher Information

Analysis of Fisher Information and the Cramér–Rao Bound for Nonlinear Parameter Estimation After Random Compression

2015 ◽  
Vol 63 (23) ◽  
pp. 6423-6428 ◽  
Author(s):  
Pooria Pakrooh ◽  
Ali Pezeshki ◽  
Louis L. Scharf ◽  
Douglas Cochran ◽  
Stephen D. Howard
Keyword(s):  
Parameter Estimation ◽  
Fisher Information ◽  
Nonlinear Parameter ◽  
Nonlinear Parameter Estimation ◽  
Cramer Rao Bound

The efficiency of ranked set sampling for parameter estimation

2001 ◽  
Vol 53 (2) ◽  
pp. 189-199 ◽  
Author(s):  
Lucio Barabesi ◽  
Abdel El-Sharaawi
Keyword(s):  
Parameter Estimation ◽  
Ranked Set Sampling

Parameter estimation under generalized ranked set sampling

1999 ◽  
Vol 42 (4) ◽  
pp. 353-360 ◽  
Author(s):  
YongHee Kim ◽  
Barry C. Arnold
Keyword(s):  
Parameter Estimation ◽  
Ranked Set Sampling

scholarly journals Decoherence of quantum parameter estimation for open Dirac particle in Garfinkle–Horowitz–Strominger dilation black hole

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Yumeng Huang ◽  
Kai Yan ◽  
Yinzhong Wu ◽  
Xiang Hao
Keyword(s):  
Black Hole ◽  
Parameter Estimation ◽  
Quantum Information ◽  
Fisher Information ◽  
Quantum Channel ◽  
Quantum Fisher Information ◽  
Exclusion Principle ◽  
Quantum Parameter ◽  
Information Divergence ◽  
Quantum Parameter Estimation

AbstractWe introduce and study a quantum channel that arises from the structure of the vacuum state of Dirac fields propagating in a Garfinkle–Horowitz–Strominger ($$\mathrm {GHS}$$GHS) dilation black hole spacetime. We put forward the concept of quantum information divergence, which is a new measure for relativistic parameter estimation. We employ quantum metrology to estimate the amplitude and relative phase of a Dirac field state using the quantum Fisher information and information divergence. The decoherence of quantum parameter estimation is studied through the evolution of the Bloch vector for arbitrary initial states subjected to the quantum channel and external noises. We find that the quantum information divergence decreases more than the quantum Fisher information as a function of the radiation temperature. Due to the Pauli exclusion principle and Dirac statistics, the estimation precision will gradually decrease to a non-zero value. In order to study the decoherence in the dilation black hole, we obtain the monotonic decrease of quantum coherence when an initial field evolves from the highly correlated state to the current cosmic background. The external noises can further suppress the decoherence effect from the black hole.

scholarly journals Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

2021 ◽  
Vol 3 (1) ◽  
pp. 228-241
Author(s):  
Rahul Raj ◽  
Shreya Banerjee ◽  
Prasanta K. Panigrahi
Keyword(s):  
Parameter Estimation ◽  
Quantum Information ◽  
Fisher Information ◽  
Quantum Information Processing ◽  
Quantum Fisher Information ◽  
Quantum Correlations ◽  
Quantum States ◽  
Quantum Metrology ◽  
High Quantum ◽  
Non Local

Measurements leading to the collapse of states and the non-local quantum correlations are the key to all applications of quantum mechanics as well as in the studies of quantum foundation. The former is crucial for quantum parameter estimation, which is greatly affected by the physical environment and the measurement scheme itself. Its quantification is necessary to find efficient measurement schemes and circumvent the non-desirable environmental effects. This has led to the intense investigation of quantum metrology, extending the Cramér–Rao bound to the quantum domain through quantum Fisher information. Among all quantum states, the separable ones have the least quantumness; being devoid of the fragile non-local correlations, the component states remain unaffected in local operations performed by any of the parties. Therefore, using these states for the remote design of quantum states with high quantum Fisher information can have diverse applications in quantum information processing; accurate parameter estimation being a prominent example, as the quantum information extraction solely depends on it. Here, we demonstrate that these separable states with the least quantumness can be made extremely useful in parameter estimation tasks, and further show even in the case of the shared channel inflicted with the amplitude damping noise and phase flip noise, there is a gain in Quantum Fisher information (QFI). We subsequently pointed out that the symmetric W states, incapable of perfectly teleporting an unknown quantum state, are highly effective for remotely designing quantum states with high quantum Fisher information.

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