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From Quantum Query Complexity to State Complexity

Computational Complexity 2014-11-26 v2 Quantum Physics

Abstract

State complexity of quantum finite automata is one of the interesting topics in studying the power of quantum finite automata. It is therefore of importance to develop general methods how to show state succinctness results for quantum finite automata. One such method is presented and demonstrated in this paper. In particular, we show that state succinctness results can be derived out of query complexity results.

Keywords

Cite

@article{arxiv.1407.7342,
  title  = {From Quantum Query Complexity to State Complexity},
  author = {Shenggen Zheng and Daowen Qiu},
  journal= {arXiv preprint arXiv:1407.7342},
  year   = {2014}
}

Comments

Some typos in references were fixed. To appear in Gruska Festschrift (2014). Comments are welcome. arXiv admin note: substantial text overlap with arXiv:1402.7254, arXiv:1309.7739

R2 v1 2026-06-22T05:14:34.601Z