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arXiv:0904.4870 · Physical Review A

Quantum superadditivity in linear optics networks: Sending bits via multiple-access Gaussian channels

Łukasz Czekaj, Jarosław K. Korbicz, Ravindra W. Chhajlany, Paweł Horodecki

Published Aug 31, 2010• 7 citations
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Abstract

Superadditivity effects of communication capacities are known in the case of discrete variable quantum channels. We describe the continuous variable analog of one of these effects in the framework of Gaussian multiple access channels (MACs). Classically, superadditivity-type effects are strongly restricted: For example, adding resources to one sender is never advantageous to other senders in sending their respective information to the receiver. We show that this rule can be surpassed using quantum resources, giving rise to a type of truly quantum superadditivity. This is illustrated here for two examples of experimentally feasible Gaussian MACs.

DOI
10.1103/physreva.82.020302

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Superadditivity effects of communication capacities are known in the case of discrete variable quantum channels. We describe the continuous variable analog of one of these effects in the framework of Gaussian multiple access channels (MACs). Classically, superadditivity-type effects are strongly restricted: For example, adding resources to one sender is never advantageous to other senders in sending their respective information to the receiver. We show that this rule can be surpassed using quantum resources, giving rise to a type of truly quantum superadditivity. This is illustrated here for two examples of experimentally feasible Gaussian MACs.
We study classical capacity regions of quantum Gaussian multiple access channels (MAC). In classical variants of such channels, whilst some capacity superadditivity-type effects such as the so called water filling effect may be achieved, a fundamental classical additivity law can still be identified, viz. adding resources to one sender is never advantageous to other senders in sending their respective information to the receiver. Here, we show that quantum resources allow violation of this law, by providing an illustrative scheme of an experimentally feasible Gaussian MAC.
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We consider quantum channels with two senders and one receiver. For an arbitrary such channel, we give multi-letter characterizations of two different two-dimensional capacity regions. The first region characterizes the rates at which it is possible for one sender to send classical information while the other sends quantum information. The second region gives the rates at which each sender can send quantum information. We give an example of a channel for which each region has a single-letter description, concluding with a characterization of the rates at which each user can simultaneously send classical and quantum information