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.
Funding Information
  • National Science Foundation (1908730, 2106189, 2106213, 2212437)

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