Unbounded length minimal synchronizing words for quantum channels over qutrits

Abstract

Grudka, Karczewski, Kurzynski, Stempin, W\'ojcik and Wojcik (2025) constructed quantum channels with synchronizing words of length 3 for qutrits. We extend their result to arbitrarily long minimal synchronizing words, providing a contrast to Cern\'y's conjecture for finite automata.

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