1,972 research outputs found
Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory
We consider the scenario of classical communication over a finite-dimensional
quantum channel with memory using a separable-state input ensemble and local
output measurements. We propose algorithms for estimating the information rate
of such communication setups, along with algorithms for bounding the
information rate based on so-called auxiliary channels. Some of the algorithms
are extensions of their counterparts for (classical) finite-state-machine
channels. Notably, we discuss suitable graphical models for doing the relevant
computations. Moreover, the auxiliary channels are learned in a data-driven
approach; i.e., only input/output sequences of the true channel are needed, but
not the channel model of the true channel.Comment: This work has been submitted to the IEEE Transactions on Information
Theory for possible publication. Copyright may be transferred without notice,
after which this version may no longer be accessibl
Estimating the Information Rate of a Channel with Classical Input and Output and a Quantum State (Extended Version)
We consider the problem of transmitting classical information over a
time-invariant channel with memory. A popular class of time-invariant channels
with memory are finite-state-machine channels, where a \emph{classical} state
evolves over time and governs the relationship between the classical input and
the classical output of the channel. For such channels, various techniques have
been developed for estimating and bounding the information rate. In this paper
we consider a class of time-invariant channels where a \emph{quantum} state
evolves over time and governs the relationship between the classical input and
the classical output of the channel. We propose algorithms for estimating and
bounding the information rate of such channels. In particular, we discuss
suitable graphical models for doing the relevant computations.Comment: This is an extended version of a paper that appears in Proc. 2017
IEEE International Symposium on Information Theory, Aachen, Germany, June
201
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