Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Symmetry and Topology of Successive Quantum Feedback Control
Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.