Optimized detection of high-dimensional entanglement
arXiv:2011.02217 · doi:10.1103/PhysRevLett.127.220501
Abstract
Entanglement detection is one of the most conventional tasks in quantum information processing. While most experimental demonstrations of high-dimensional entanglement rely on fidelity-based witnesses, these are powerless to detect entanglement within a large class of entangled quantum states, the so-called unfaithful states. In this paper, we introduce a highly flexible automated method to construct optimal tests for entanglement detection given a bipartite target state of arbitrary dimension, faithful or unfaithful, and a set of local measurement operators. By restricting the number or complexity of the considered measurement settings, our method outputs the most convenient protocol which can be implemented using a wide range of experimental techniques such as photons, superconducting qudits, cold atoms or trapped ions. With an experimental quantum optics setup that can prepare and measure arbitrary high-dimensional mixed states, we implement some -setting protocols generated by our method. These protocols allow us to experimentally certify 2- and 3-unfaithful entanglement in 4-dimensional photonic states, some of which contain well above 50% of noise.
arXiv comment12 pages. Expanded experimental data collection, simplified theoretical description in the main text
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- Experimental single-copy distillation of quantumness from higher-dimensional entanglement
- Robust and bright polarization-entangled photon sources exploiting non-critical phase matching without periodic poling
- Generation of four-dimensional hyperentangled N00N states and beyond with photonic orbital angular momentum and detection-basis control
- Experimental Catalytic Amplification of Asymmetry
- Universal entanglement detection with geometrically optimal witnesses