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Bonn 2025 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 63: Poster – Quantum Information (joint session QI/Q)

Q 63.37: Poster

Donnerstag, 13. März 2025, 17:00–19:00, Tent

Range of operation and oversqueezed regime of squeezing transfer as means of generating spin-entangled states in trapped ions — •Nadezhda Markova — Center for Quantum Technologies, Department of Physics, Sofia University, Bulgaria

A state is regarded as both squeezed along the direction n3 and entangled when the parameter ξ2(n3)<1 [2]. A necessary and sufficient condition for entanglement is given by χ2=N/FQ<1 [2], where FQ is the QFI.

We calculate and compare these parameters for a spin-entangled state in an ion trap. The state in question is generated by transferring squeezing from the motional to the spin degree of freedom. This is achieved by applying the Tavis-Cummings Hamiltonian for a particular time and results in a nonclassical spin state [1].

We compare the parameters ξ2 and χ2 as a function of the squeezing parameter r and the number of ions N by simulating the system’s evolution using the QuTip library. We identify the oversqueezed regime and the range of operation of the aforementioned procedure.

[1] R. J. Lewis-Swan, J. C. Zu*niga Castro, D. Barberena, and A. M. Rey. Exploiting nonclassical motion of a trapped ion crystal for quantum-enhanced metrology of global and differential spin rotations. Phys. Rev. Lett.

[2] L. Pezzé and A. Smerzi. Entanglement, nonlinear dynamics, and the Heisenberg limit. Phys. Rev. Lett.

Keywords: spin squeezing; entanglement; Quantum Fisher Information; Tavis-Cummings Hamiltonian

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