Remotely prepared entanglement: a quantum web page

Abstract

In quantum teleportation, an unknown quantum state is transmitted from one party to another using only local operations and classical communication, at the cost of shared entanglement. Is it possible similarly, using an $N$ party entangled state, to have the state retrievable by {\it any} of the $N-1$ possible receivers? If the receivers cooperate, and share a suitable state, this can be done reliably. The $N$ party GHZ is one such state; I derive a large class of such states, and show that they are in general not equivalent to the GHZ. I also briefly discuss the problem where the parties do not cooperate, and the relationship to multipartite entanglement quantification. I define a new set of entanglement monotones, the entanglements of preparation.

13 pages LaTeX. New title. Minor changes and corrections; pointed out monotonicity of entanglement of preparation. To appear in special issue of Algorithmica

References in corpus (3)

• Persistent entanglement in arrays of interacting particles
• Entangled webs: Tight bound for symmetric sharing of entanglement
• Entanglement molecules

Cited by in corpus (1)

• Multiparty data hiding of quantum information