Embezzlement of entanglement is the (impossible) task of producing an entangled state from a product state via a local change of basis, when a suitable catalytic entangled state is available. The possibility to approximate this task was first observed by van Dam and Hayden in 2002. Since then, the phenomenon is found to play crucial roles in many aspects of quantum information theory. In this colloquium, we will explain various methods to embezzlement entanglement and explore applications (such as an extension to approximately violate other conservation laws, a Bell inequality that cannot be violated maximally with finite amount of entanglement, consequences for resource theories, and the quantum reverse Shannon theorem).
- Scientific Series