Defines a residual collapse map for ordered POVMs that produces collapsed POVMs with mutually orthogonal non-escape coordinates and characterizes the map's range and fibers.
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Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.
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Ordered POVMs and Residual Collapse
Defines a residual collapse map for ordered POVMs that produces collapsed POVMs with mutually orthogonal non-escape coordinates and characterizes the map's range and fibers.
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Asymptotic Replacement for Quantum Channel Products with Applications to Inhomogeneous Matrix Product States
Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.