Multipartite entanglement and high precision metrology

By Géza Tóth. 2010

492 citations recorded by the source corpus.

We present several entanglement criteria in terms of the quantum Fisher information that help to relate various forms of multipartite entanglement to the sensitivity of phase estimation. We show that genuine multipartite entanglement is necessary to reach the maximum sensitivity in some very general metrological tasks using a two-arm linear interferometer. We also show that it is needed to reach the maximum average sensitivity in a certain combination of such metrological tasks.

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

View Paper: https://www.semanticscholar.org/paper/0af2f95404b15cedab9a5294d9dfe2ee25355a51

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum metrology with nonclassical states of atomic ensembles (2016, background): “For states of type (27), we have (Hyllus et al., 2012a; Tóth, 2012) FQ [ ρ̂k-sep, Ĵn ] ≤ sk2 + r2, (33) where s = bNk c is the integer part of Nk , and r = N − sk (note that sk2 + r2 = Nk when N is divisible by k).”
Simulating quantum many-body dynamics on a current digital quantum computer (2019, methodology): “[66] Géza Tóth, “Multipartite entanglement and high-precision metrology,” Phys.”
Quantum-enhanced measurements without entanglement (2017, background): “If ρ is k-producible, i.e., it is a convex mixture of pure states which are tensor products of at most k-qubit states, then the quantum Fisher information is bounded above as follows (Hyllus et al., 2012; Tóth, 2012), Iθ(ρ, Jl) ≤ nk2 + (N − nk)2 , (18) where n is the integer part of N/k.”
At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited (2017, background): “The rotation scenario serves also as a powerful entanglement detector [23,24] that can detect a vanishing fraction of entanglement [25] or even bound entanglement [26] with scaling close to the Heisenberg limit.”
Measuring multipartite entanglement through dynamic susceptibilities (2015, methodology): “The entanglement quantified through the QFI is not only a resource for quantum metrology [8, 9],”
Quantum Fisher information matrix and multiparameter estimation (2019, background): “Apart from quantum metrology, the QFI also connects to other aspects of quantum physics, such as quantum phase transition [18–20] and entanglement witness [21,22].”
Entanglement certification from theory to experiment (2018, background): “[179] Géza Tóth, “Multipartite entanglement and high-”
Quantum limits in optical interferometry (2014, background): “Above results imply that QFI, or precision, can be interpreted as a particle-entanglement witness, i.e. all states that give precision scaling better than the shot noise must be particleentangled (Hyllus et al., 2012; Tóth, 2012).”
Macroscopic quantum states: Measures, fragility, and implementations (2017, background): “An effective size of Neff & k implies genuine entanglement within groups of at least k spins (this statement can be made fully rigorous including O(1) correction terms (Hyllus et al., 2012; Tóth, 2012)).”