PBS Entanglement: Implications & Uses

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I've heard that if two particles are entangled, and one of them is run through a polarizing beam splitter, the beam can be recreated and the entanglement continues. What are the implications of this? Is there actually any use? Thanks
 
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A polarizing beam splitter doesn't do any irreversible thing (in some language, this would be said as "the polarizing beam splitter doesn't do a measurement"). So if you combine the two beams that come out of a polarizing beam splitter again (actually, using a second polarizing beam splitter used in reverse), then indeed, you restore in principle the exact original beam, with all its entangled properties and everything. Point is, you won't know which path the beam took after the beam splitter (if you do, then that means you've irreversibly altered something, and then you cannot restore the original state).
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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