Entanglement describes situations in which two or more things become linked so that the state of one depends on the state of the others. The term is most widely used in physics to denote quantum entanglement, a nonclassical correlation between particles, but it also appears in everyday language to describe social, legal, or ecological interconnections.

Quantum entanglement

In quantum mechanics, entanglement occurs when the quantum state of a composite system cannot be written as a product of states of its parts. Measurements performed on one subsystem then exhibit correlations with measurements on another, even when the parts are separated by large distances. This phenomenon was highlighted in the famous Einstein–Podolsky–Rosen (EPR) discussion and was named by Erwin Schrödinger. John Bell later derived inequalities showing that entangled systems can produce statistics incompatible with any local hidden-variable theory; experiments beginning in the 1970s and 1980s and continuing to the present have repeatedly confirmed quantum predictions.

Key properties and misconceptions

  • Nonlocal correlations: Entanglement produces correlations that do not have a classical explanation, but they do not allow faster-than-light communication.
  • Fragility: Interaction with an environment (decoherence) tends to destroy entanglement.
  • Resource view: In quantum information theory, entanglement is treated as a resource for tasks that cannot be achieved classically.

Uses and significance

Entanglement underpins modern quantum technologies. It is essential for quantum cryptography protocols, quantum teleportation of states, certain quantum computing algorithms that outperform classical ones, and precision measurements in quantum metrology. In condensed-matter physics, entanglement measures help characterize phases of matter and critical behavior.

Other senses and examples

Outside physics, "entanglement" describes being intertwined or involved in complex relationships: animals caught in fishing gear are said to be entangled; legal or diplomatic entanglement refers to complicated obligations or ties; and tangled hair or threads are also called entanglements. In each usage the central idea is the same: components are connected in a way that affects the whole.

Understanding entanglement helps distinguish genuine quantum behavior from ordinary correlation and highlights why interconnectedness—whether physical, social, or ecological—matters for how systems behave.