Rate limits in quantum networks with lossy repeaters
- URL: http://arxiv.org/abs/2110.10168v2
- Date: Sun, 6 Mar 2022 11:47:50 GMT
- Title: Rate limits in quantum networks with lossy repeaters
- Authors: Riccardo Laurenza, Nathan Walk, Jens Eisert and Stefano Pirandola
- Abstract summary: We quantify how the presence of loss in repeater stations affect the maximum attainable rates for quantum communication.
In the linear chain scenario we show that, by increasing the number of repeater stations, the maximum rate cannot overcome a quantity which solely depends on the loss of a single station.
- Score: 0.6299766708197883
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The derivation of ultimate limits to communication over certain quantum
repeater networks have provided extremely valuable benchmarks for assessing
near-term quantum communication protocols. However, these bounds are usually
derived in the limit of ideal devices and leave questions about the performance
of practical implementations unanswered. To address this challenge, we quantify
how the presence of loss in repeater stations affect the maximum attainable
rates for quantum communication over linear repeater chains and more complex
quantum networks. Extending the framework of node splitting, we model the loss
introduced at the repeater stations and then prove the corresponding limits. In
the linear chain scenario we show that, by increasing the number of repeater
stations, the maximum rate cannot overcome a quantity which solely depends on
the loss of a single station. We introduce a way of adapting the standard
machinery for obtaining bounds to this realistic scenario. The difference is
that whilst ultimate limits for any strategy can be derived given a fixed
channel, when the repeaters introduce additional decoherence, then the
effective overall channel is itself a function of the chosen repeater strategy
(e.g., one-way versus two-way classical communication). Classes of repeater
strategies can be analysed using additional modelling and the subsequent bounds
can be interpreted as the optimal rate within that class.
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