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Belief Propagation for Classical and Quantum Systems: Overview and Recent Results

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Abstract

This article reviews belief propagation (BP) for classical inference problems and describes its extension to quantum systems, which is known as BP with quantum messages (BPQM). Since BP plays a key role in many low-complexity decoders for error-correcting codes, BPQM enables the practical extension of these decoders to classical quantum channels, such as the pure state channel.

Author(s)
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Christophe Piveteau
ETH Zürich, Zürich, Switzerland
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Joseph M. Renes
ETH Zürich, Zürich, Switzerland

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