Entanglement for all quantum states

Abstract

It is shown that a state that is factorizable in the Hilbert space corresponding to some choice of degrees of freedom, becomes entangled for a different choice of degrees of freedom. Therefore, entanglement is not a special case but is ubiquitous in quantum systems. Simple examples are calculated and a general proof is provided. The physical relevance of the change of tensor product structure is mentioned.

9 pages

References in corpus (3)

• Quantum tensor product structures are observable-induced
• Tensor Product Structures, Entanglement, and Particle Scattering
• The Hydrogen Atom as an Entangled Electron-Proton System

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