Entanglement, nonlinear dynamics, and the heisenberg limit.

By Luca Pezzè, Augusto Smerzi. Physical Review Letters, 2007

720 citations recorded by the source corpus.

We show that quantum Fisher information provides a sufficient condition to recognize multiparticle entanglement in an N qubit state. The same criterion gives a necessary and sufficient condition for sub-shot-noise phase sensitivity in the estimation of a collective rotation angle theta. The analysis therefore singles out the class of entangled states which are useful to overcome classical phase sensitivity in metrology and sensors. We finally study the creation of useful entangled states by the nonlinear dynamical evolution of two decoupled Bose-Einstein condensates or trapped ions.

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

View Paper: https://www.semanticscholar.org/paper/cfe5418005a24b78cd130eb6fa7ab9145240ecd8

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 limits in optical interferometry (2014, background): “More generally, the shot noise limit, sometimes referred to as the standard quantum limit, is valid for all N -photon separable states (Giovannetti et al., 2011; Pezzé and Smerzi, 2009), and going beyond this limit requires making use of inter-photon entanglement, see Sec.”
Quantum-enhanced measurements without entanglement (2017, background): “…probes in a parallel setting, a quite general formalism has been developed to identify the metrologically useful correlations in the probes in order to achieve quantumenhanced measurements (Pezzè and Smerzi, 2009) (see (Pezzè and Smerzi, 2014; Tóth and Apellaniz, 2014) for recent reviews).”
Simulating quantum many-body dynamics on a current digital quantum computer (2019, background): “The QFI is also a multi-partite entanglement witness [65, 66, 76], and in particular, if the state is separable then we have that F Q ≤ N , which is known as the shot noise limit in quantum metrology [77–79].”
Macroscopic quantum states: Measures, fragility, and implementations (2017, background): “We consider a scenario in which one has 32 Fröwis et al. (2015); Hotta and Ozawa (2004); Kholevo (1974); Pezzé and Smerzi (2009) Figure 9 Basic scheme of Jeong et al. (2014a) to experimentally access the measures of Lee and Jeong (2011); Park et al. (2016).”
Spin squeezing, entanglement and quantum metrology with Bose–Einstein condensates (2012, background): “[48] Pezze L and Smerzi A 2009 Entanglement, Nonlinear Dynamics, and the Heisenberg Limit Phys.”
Quantum Optical Technologies for Metrology, Sensing, and Imaging (2014, background): “In fact it has been shown that the Fisher information of a N -particle state being greater than N is a sufficient condition for multipartite entanglement [6], [58].”
Quantum spin squeezing (2010, methodology): “uantum metrology. In this section, we rst introduce the QFI [236,172,237,238], which determines the precision of the parameter estimation. Then, we discuss the relation between QFI and spin squeezing [239,240,241,242]. Finally, we discuss the applications of spin squeezing and QFI in entanglement en”
Quantum metrology with nonclassical states of atomic ensembles (2016, background): “The maximum value of the quantum Fisher information is obtained for genuine N -particle entangled states, k = N , giving (Pezzè and Smerzi, 2009) FQ [ ρ̂, Ĵn ] ≤ N2.”