On Locality, Growth and Transport of Entanglement

Understand

Entanglement of a macroscopic system with a microscopic one is shown to begin by a topological property of histories in the Feynman formulation of quantum mechanics.

• This property can also be expressed algebraically on the Schr\"odinger equation through a convenient extension of the Hilbert space formalism.
• Entanglement shows then properties of growth and transport, the corresponding local and temporary character of entanglement being called here "intricacy" when it occurs.
• When applied to the continuous interaction of a macroscopic system with a random environment, intricacy implies a "predecoherence" effect, which can generate and transport permanently incoherence within the system.