On the stochastic analysis of a quantum entanglement switch

G Vardoyan, S Guha, P Nain, D Towsley - ACM SIGMETRICS …, 2019 - dl.acm.org
ACM SIGMETRICS Performance Evaluation Review, 2019dl.acm.org
We study a quantum entanglement switch that serves k users in a star topology. We model
variants of the system using continuous-time Markov chains (CTMCs) and obtain
expressions for switch capacity and the expected number of qubits stored in memory at the
switch. Using CTMCs allows us to obtain a number of analytic results for systems in which
the links are homogeneous or heterogeneous and for switches that have infinite or finite
buffer sizes. In addition, we can easily model the effects of decoherence of quantum states …
We study a quantum entanglement switch that serves k users in a star topology. We model variants of the system using continuous-time Markov chains (CTMCs) and obtain expressions for switch capacity and the expected number of qubits stored in memory at the switch. Using CTMCs allows us to obtain a number of analytic results for systems in which the links are homogeneous or heterogeneous and for switches that have infinite or finite buffer sizes. In addition, we can easily model the effects of decoherence of quantum states using this technique. From numerical observations, we discover that decoherence has little effect on capacity and expected number of stored qubits for homogeneous systems. For heterogeneous systems, especially those operating close to stability constraints, buffer size and decoherence can significantly affect performance. We also learn that, in general, increasing the buffer size from one to two qubits per link is advantageous to most systems, while increasing the buffer size further yields diminishing returns.
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