Unbounded length minimal synchronizing words for quantum channels over qutrits

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Bjørn Kjos-Hanssen, Swarnalakshmi Lakshmanan
DOI: 10.48550/arxiv.2603.00861
Cited by: 0

Abstract

Grudka, Karczewski, Kurzynski, Stempin, Wójcik 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 Černý's conjecture for finite automata.

Fields of Study & Subjects

semigroups and automata theory Quantum Information and Cryptography Quantum Computing Algorithms and Architecture

Publication details

Journal / source
arXiv (Cornell University)
Publication date
1 March 2026
Language
EN
Document type
Preprint