Quantum entanglement's weirdness comes from how measurements project outcomes, not random collapse.

When two quantum particles are entangled, their fates are linked even when physically separated. Normally, scientists measure each separate piece in its own local space. However, it has been unclear how to clearly identify the states of these separated parts from the standard shared mathematical description, except when the particles are not entangled. In this work, the author demonstrates how to find these local states for any general entangled system. Instead of the usual shared description, the method looks at related states, or cosetscosetsSubdivisions of a vector space that help analyze states in the context of measurements., within the free vector space used to build that description. This approach successfully removes the need for random collapse. It shows that quantum nonlocality happens because of how measuring each separated part projects the possible measurement outcomes.

Why it matters

This changes how physicists explain entanglement, a key concept in quantum technologies like computing and cryptography. It simplifies the theory by removing randomness, making quantum mechanics more intuitive.

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