Optimized detection of high-dimensional entanglement

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 $3$-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.

12 pages. Expanded experimental data collection, simplified theoretical description in the main text

References in corpus (8)

• Entanglement detection
• Direct Fidelity Estimation from Few Pauli Measurements
• A complete family of separability criteria
• Detecting multipartite entanglement
• Evaluation of convex roof entanglement measures
• Efficient generation of high-dimensional entanglement through multi-path downconversion
• Geometry of faithful entanglement
• Quantum Preparation Games

Cited by in corpus (9)

• Semidefinite programming relaxations for quantum correlations
• Semidefinite relaxations for high-dimensional entanglement in the steering scenario
• A generic framework for genuine multipartite entanglement detection
• Faithful coherent states
• Variational Optimization for Quantum Problems using Deep Generative Networks
• Generation of four-dimensional hyperentangled N00N states and beyond with photonic orbital angular momentum and detection-basis control
• Robust and bright polarization-entangled photon sources exploiting non-critical phase matching without periodic poling
• Experimental single-copy distillation of quantumness from higher-dimensional entanglement
• Experimental Catalytic Amplification of Asymmetry