Quantum estimation for quantum technology

By Matteo G. A. Paris. 2008

1,399 citations recorded by the source corpus.

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...

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/43528da46fcb4b1c5271f21a4ff511c1663ca887

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum Fisher information matrix and multiparameter estimation (2019, methodology): “In control theory, equation (2) is also referred to as the Lyapunov equation and the solution can be obtained as [5]”
Advances in quantum metrology (2011, background): “In its simplest version a typical quantum estimation problem [8–14] consists in recovering the value of a continuous parameter x (say the phase ϕ of Fig.”
Quantum metrology with nonclassical states of atomic ensembles (2016, background): “Hence they allow to calculate the optimal phase sensitivity of any given probe state and interferometer transformation (Helstrom, 1976; Holevo, 1982), for recent reviews see Giovannetti et al. (2011); Paris (2009); and Pezzè and Smerzi (2014).”
Non-Equilibrium Phase Transitions (2010, background): “The Fisher information is also a figure of merit of metrology, being the inverse of the smallest variance in the estimation of the state parameters [5].”
Roadmap on quantum light spectroscopy (2020, background): “to transformations, which in quantum formalism may not commute [63].”
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017, background): “where FQ is the quantum Fisher information (QFI) [29, 99, 100] which we have encountered above in its infinitesimal version in equation (26).”
Geometry of quantum phase transitions (2019, methodology): “In a multiparameter scenario, a direct generalization of single parameter CR bound leads to the multiparameter QFI CR bound [291, 327, 309], that reads tr(WCov(λ̂)) ≥ tr(WJ−1), (163)”
Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system (2018, methodology): “We use the exact formalism of quantum Fisher information (QFI) [39] to characterize the sensitivity of parameter estimation.”
A perspective on multiparameter quantum metrology: From theoretical tools to applications in quantum imaging (2019, neutral): “This approach is commonly called local quantum estimation theory [41].”
Quantum-enhanced measurements without entanglement (2017, background): “(15) An expansion of ds2Bures(ρθ, ρθ+dθ) leads to the quantum Fisher information matrix (Paris, 2009; Sommers and Zyczkowski, 2003), ds2Bures(ρθ, ρθ+dθ) = Iθk,θk′ 4 dθkdθk′ , (16) where Iθk,θk′ = trρθ(LθkLθk′ +Lθ′kLθk)/2, and Lθk is the symmetric logarithmic derivative with respect to parameter θk.”
Multiparameter quantum metrology of incoherent point sources: Towards realistic superresolution (2017, neutral): “Upon writing ρθ in its eigenbasis ρθ = ∑n λn|λn〉〈λn|, the QFIM per detection event can be concisely expressed as [31]”