The Classical Capacity of Quantum Jackson Networks with Waiting Time-Dependent Erasures

• URL: http://arxiv.org/abs/2206.04262v1
• Date: Thu, 9 Jun 2022 04:13:53 GMT
• Title: The Classical Capacity of Quantum Jackson Networks with Waiting Time-Dependent Erasures
• Authors: Jaswanthi Mandalapu and Krishna Jagannathan
• Abstract summary: We study the fundamental limits of classical communication using quantum states that decohere as they traverse through a network of queues. Our work quantifies the impact of delay-induced decoherence on the fundamental limits of classical communication over quantum networks.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the fundamental limits of classical communication using quantum states that decohere as they traverse through a network of queues. We consider a network of Markovian queues, known as a Jackson network, with a single source or multiple sources and a single destination. Qubits are communicated through this network with inevitable buffering at intermediate nodes. We model each node as a `queue-channel,' wherein as the qubits wait in buffer, they continue to interact with the environment and suffer a waiting time-dependent noise. Focusing on erasures, we first obtain explicit classical capacity expressions for simple topologies such as tandem queue-channel and parallel queue-channel. Using these as building blocks, we characterize the classical capacity of a general quantum Jackson network with waiting time-dependent erasures. Throughout, we study two types of quantum networks, namely, (i) Repeater-assisted and (ii) Repeater-less. We also obtain optimal pumping rates and routing probabilities to maximize capacity in simple topologies. More broadly, our work quantifies the impact of delay-induced decoherence on the fundamental limits of classical communication over quantum networks.

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