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Chinese Physics Letters

Quantum Multiple Access Channel

侯广, 黄民信

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

We consider the transmission of classical information over a quantum channel by many senders,which is a generalization of the two-sender case.The channel capacity region is shown to be a convex hull bound by the von Neumann entropy and the conditional von Neumann entropies.The result allows a reasonable distribution of channel capacity over the senders.

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We consider the transmission of classical information over a quantum channel by many senders,which is a generalization of the two-sender case.The channel capacity region is shown to be a convex hull bound by the von Neumann entropy and the conditional von Neumann entropies.The result allows a reasonable distribution of channel capacity over the senders.
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We define classical quantum multiway channels for transmission of classical information, after the previous work by Allahverdyan and Saakian (see Quantum Computing and Quantum Communications (Lecture Notes in Computer Science). Berlin, Germany: Springer-Verlag, vol.1509, 1999). Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known ones, simply replacing Shannon (1961) entropy with von Neumann (1955) entropy. For the single receiver case (multiple-access channel) the elect capacity region is determined. These results are applied to the case of noisy channels, with arbitrary input signal states. A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory.
We consider quantum channels with two senders and one receiver. For an arbitrary such channel, we give multiletter characterizations of two different two-dimensional capacity regions. The first region comprises the rates at which it is possible for one sender to send classical information, while the other sends quantum information. The second region consists of the rates at which each sender can send quantum information. For each region, we give an example of a channel for which the corresponding region has a single-letter description. One of our examples relies on a new result proved here, perhaps of independent interest, stating that the coherent information over any degradable channel is concave in the input density operator. We conclude with connections to other work and a discussion on generalizations where each user simultaneously sends classical and quantum information.
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