The Markov Marginal Problem for Density Operators

Name: The Markov Marginal Problem for Density Operators
Uploaded: 2026-10-02T15:30:12.757306+00:00
Duration: 1173 s
Description: This work investigates when local quantum marginals can be combined into a global quantum state satisfying a specific Markov property. It shows that this is possible only if a trace-one condition, Tr(T(R)) = 1, is met. This condition acts as an exact obstruction to classical graphical models in the noncommutative setting.

This work investigates when local quantum marginals can be combined into a global quantum state satisfying a specific Markov property. It shows that this is possible only if a trace-one condition, Tr(T(R)) = 1, is met. This condition acts as an exact obstruction to classical graphical models in the noncommutative setting.

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