The L2 convergence rate of a lifted quantum Markov semigroup is at most the square root of the spectral gap of its collapsed dynamics, and matching lower bounds hold under explicit structural assumptions.
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Speeding up quantum Markov processes through lifting
The L2 convergence rate of a lifted quantum Markov semigroup is at most the square root of the spectral gap of its collapsed dynamics, and matching lower bounds hold under explicit structural assumptions.