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Sep 10 at 20:21 comment added DrChinese @usernamedgreg Sure: Entanglement produces a variety of statistical correlations that cannot otherwise appear. If 2 particles are spin entangled, for example, they must both have their spins measured and compared. There are a variety of techniques and statistics, which vary according to the specific experiment and particle types. These aren't all easily described in lay terms, however. A common statistical test is the CHSH inequality, you can Google it to learn more. FYI: 2 entangled particles are described by a single wavefunction. It is a system of 2 particles, and not 2 independent systems.
Sep 10 at 11:49 comment added usernamedgreg Thanks so much! Any chance there's a layman's way to describe how entanglement is experimentally verified? I think this is the piece that I keep struggling with. Is it just the wave function that we describing as entangled?
Sep 10 at 3:24 history answered Ken Wharton CC BY-SA 4.0