Fundamental Limitation on the Detectability of Entanglement in Quantum Systems

Watch a conference talk from TQC 2023 exploring the fundamental limitations in detecting quantum entanglement. Learn about the trade-off between efficiency and effectiveness of entanglement criteria through a systematic theoretical evaluation method. Discover how systems coupled to environments require exponentially many observables for effective entanglement detection when limited to single-copy operations, and how detection capability decays double-exponentially otherwise. Explore how multi-copy joint measurements can exponentially improve entanglement detection effectiveness, suggesting a quantum advantage. Follow along as the speaker covers probability theory, main theorems, multicore environments, single entangle awareness, detection capability analysis, and numerical experiments that demonstrate these theoretical findings. The presentation concludes with practical implications for quantum information science and quantum many-body physics.