Any unital quantum channel on d dimensions admits exact simulation with ancilla dimension k and success probability Ω(k/log d) via randomization and postselection; the bound is tight and fails for strongly non-unital channels.
Detecting mixed-unitary quantum channels is
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Randomized simulation of quantum channels using small ancilla
Any unital quantum channel on d dimensions admits exact simulation with ancilla dimension k and success probability Ω(k/log d) via randomization and postselection; the bound is tight and fails for strongly non-unital channels.