Unconstrained Capacities of Quantum Key Distribution and Entanglement Distillation for Pure-Loss Bosonic Broadcast Channels

Abstract

We consider quantum key distribution (QKD) and entanglement distribution using a single-sender multiple-receiver pure-loss bosonic broadcast channel. We determine the unconstrained capacity region for the distillation of bipartite entanglement and secret key between the sender and each receiver, whenever they are allowed arbitrary public classical communication. A practical implication of our result is that the capacity region demonstrated drastically improves upon rates achievable using a naive time-sharing strategy, which has been employed in previously demonstrated network QKD systems. We show a simple example of the broadcast QKD protocol overcoming the limit of the point-to-point strategy. Our result is thus an important step toward opening a new framework of network channel-based quantum communication technology.

9 pages, 5 figures

References in corpus (7)

• Quantum information can be negative
• A de Finetti representation theorem for infinite dimensional quantum systems and applications to quantum cryptography
• A No-Go Theorem for Gaussian Quantum Error Correction
• Field and long-term demonstration of a wide area quantum key distribution network
• Continuous-variable quantum key distribution protocols over noisy channels
• Classical capacity of bosonic broadcast communication and a new minimum output entropy conjecture
• Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing

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