A closed quantum belief-propagation framework is derived for factor graphs over arbitrary finite abelian groups by showing that group-covariant pure-state channels remain closed under check, equality, homomorphism, and marginalization factors.
A ‘pretty good’measurement for distinguishing quantum states,
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Quantum Message Passing for Factor Graphs over Finite Abelian Groups
A closed quantum belief-propagation framework is derived for factor graphs over arbitrary finite abelian groups by showing that group-covariant pure-state channels remain closed under check, equality, homomorphism, and marginalization factors.