Bonn 2025 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 63: Poster – Quantum Information (joint session QI/Q)
Q 63.4: Poster
Donnerstag, 13. März 2025, 17:00–19:00, Tent
Measurable Entanglement lower bounds for Cold Atom Quantum Simulators using kinetic operators — •Maike Reckermann1, Niklas Euler1,2, and Martin Gärttner1 — 1Institut für Festkörpertheorie und Optik, Friedrich-Schiller-Universität Jena, Deutschland — 2Physikalisches Institut, Universität Heidelberg, Deutschland
The entanglement dimension plays a key role for understanding quantum many-body phenomena such as topological order, recently realized with cold atoms in lattice geometries. However, for cold atom quantum simulators, determining the entanglement spectrum from measurements is a challenge for experiments as it generally requires the full reconstruction of the quantum state.
Here, we propose a new method to bound the entanglement dimension, which is the number of non-zero values in the spectrum, using the information contained in the measurement of kinetic operators in double wells, which was recently pioneered with ultracold bosonic atoms in a 2D optical lattice. Using also positivity constraints, non-measured elements of the density matrix can be bounded through the fidelity to a reference state, that is optimized in post-processing. We show through numerical simulations, that the entanglement dimension can be lower bound by information form the new measurement operators for a few body system with 2 distinguishable particles in a 1D lattice.
The protocol to bound the entanglement dimension with this measurement method is more efficient than previous methods and could be generalized to a 2D lattice or to create bounds on other observables.
Keywords: Entanglement Detection; Cold Atoms; Quantum Simulation; Fidelity Bounds; High-Dimensional Entanglement