Practical Entanglement Estimation for Spin-System Quantum Simulators

Abstract

We present practical methods to measure entanglement for quantum simulators that can be realized with trapped ions, cold atoms, and superconducting qubits. Focussing on long- and short-range Ising-type Hamiltonians, we introduce schemes that are applicable under realistic experimental conditions including mixedness due to, e.g., noise or temperature. In particular, we identify a single observable whose expectation value serves as a lower bound to entanglement and which may be obtained by a simple quantum circuit. As such circuits are not (yet) available for every platform, we investigate the performance of routinely measured observables as quantitative entanglement witnesses. Possible applications include experimental studies of entanglement scaling in critical systems and the reliable benchmarking of quantum simulators.

9 pages, 3 figures

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Cited by in corpus (9)

• Operational one-to-one mapping between coherence and entanglement measures
• Quantum Kibble-Zurek physics in long-range transverse-field Ising models
• Entanglement quantification in atomic ensembles
• Multipartite-Entanglement Tomography of a Quantum Simulator
• Accessible quantification of multiparticle entanglement
• Coherent states of the Laguerre-Gauss modes
• Can multipartite entanglement be characterized by two-point connected correlation functions ?
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Metrology-assisted entanglement distribution in noisy quantum networks