Entanglement-redistribution boxes

Abstract

We establish a framework to study the classical-communication properties of primitive local operations assisted by classical communication which realize various redistributions of entanglement, like, e.g., entanglement swapping. On the one hand, we analyze what local operations and how much classical communication are needed to perform them. On the other hand, we investigate whether and to what extent such primitives can help to establish classical communication when they are used in the form of black boxes available to spatially-separated users. In particular, we find that entanglement swapping costs more communication than it can signal; in this sense, entanglement swapping is a weaker primitive than quantum teleportation.

15 pages, 2 figures

References in corpus (10)

• Mixed State Entanglement and Quantum Error Correction
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
• The Communication Cost of Simulating Bell Correlations
• Causal and localizable quantum operations
• On the capacities of bipartite Hamiltonians and unitary gates
• Simulating quantum correlations as a distributed sampling problem
• On quantum non-signalling boxes
• Two-way quantum communication channels
• Entanglement-swapping boxes and their communication properties