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A composite quantum state is entangled when it is not separable into a mixture of product states across the chosen subsystem partition.
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This is an authored directed relation from the source endpoint to the target endpoint.
The EPR argument isolated the conceptual stakes of entangled correlations and made them a central foundational problem.
The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.
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Interacting and identical-particle many-body states generally exhibit correlations that can include entanglement relative to a chosen subsystem structure.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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Entanglement is defined relative to a tensor-product or algebraic subsystem decomposition.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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This is an authored directed relation from the source endpoint to the target endpoint.
Observed correlations agree with quantum entanglement and exclude tested local hidden-variable bounds.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
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System–environment entanglement transfers phase coherence into nonlocal correlations, suppressing interference in the reduced subsystem state.
A physical process transforms the source into, or produces, the target under the conditions stated in the edge detail.
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