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arXiv · 2603.00861

Unbounded length minimal synchronizing words for quantum channels over qutrits

Bjørn Kjos-Hanssen·Swarnalakshmi Lakshmanan
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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 \v{C}ern\'y's conjecture for finite automata.

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Bjørn Kjos-Hanssen, Swarnalakshmi Lakshmanan. 2026-03-01. Unbounded length minimal synchronizing words for quantum channels over qutrits. https://arxiv.org/abs/2603.00861

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