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Spin Glasses, Error-Correcting Codes and Finite-Temperature Decoding

. EPL (Europhysics Letters), 25 (3): 159 (1994)
DOI: 10.1209/0295-5075/25/3/001

Abstract

The probability for a sequence of information symbols to have been sent, when the transmission channel's output is known, is simply related to a spin glass Hamiltonian. The ground state of this Hamiltonian provides the most probable input sequence, given the channel's output. Furthermore, the local magnetization at a certain value of the temperature is related to the most probable value of the corresponding information symbol, i.e. finite-temperature decoding provides the sequence of the most probable symbols, which, in general, is different from the most probable sequence.

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