Detail publikace

Verifying Quantum Circuits with Level-Synchronized Tree Automata

ABDULLA, P. CHEN, Y. CHEN, Y. HOLÍK, L. LENGÁL, O. LIN, J. LO, F. TSAI, W.

Originální název

Verifying Quantum Circuits with Level-Synchronized Tree Automata

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

We present a new method for the verification of quantum circuits based on a novel symbolic representation of sets of quantum states using level-synchronized tree automata (LSTAs). LSTAs extend classical tree automata by labeling each transition with a set of choices, which are then used to synchronize subtrees of an accepted tree. Compared to the traditional tree automata, LSTAs have an incomparable expressive power while maintaining important properties, such as closure under union and intersection, and decidable language emptiness and inclusion. We have developed an efficient and fully automated symbolic verification algorithm for quantum circuits based on LSTAs. The complexity of supported gate operations is at most quadratic, dramatically improving the exponential worst-case complexity of an earlier tree automata-based approach. Furthermore, we show that LSTAs are a promising model for parameterized verification, i.e., verifying the correctness of families of circuits with the same structure for any number of qubits involved, which principally lies beyond the capabilities of previous automated approaches. We implemented this method as a C++ tool and compared it with three symbolic quantum circuit verifiers and two simulators on several benchmark examples. The results show that our approach can solve problems with sizes orders of magnitude larger than the state of the art.

Klíčová slova

quantum circuits,tree automata, verification

Autoři

ABDULLA, P.; CHEN, Y.; CHEN, Y.; HOLÍK, L.; LENGÁL, O.; LIN, J.; LO, F.; TSAI, W.

Vydáno

19. 1. 2025

ISSN

2475-1421

Periodikum

Proceedings of the ACM on Programming Languages

Ročník

9

Číslo

1

Stát

Spojené státy americké

Strany od

923

Strany do

953

Strany počet

31

URL

https://dl.acm.org/doi/10.1145/3704868

BibTex

@article{BUT193377,
  author="ABDULLA, P. and CHEN, Y. and CHEN, Y. and HOLÍK, L. and LENGÁL, O. and LIN, J. and LO, F. and TSAI, W.",
  title="Verifying Quantum Circuits with Level-Synchronized Tree Automata",
  journal="Proceedings of the ACM on Programming Languages",
  year="2025",
  volume="9",
  number="1",
  pages="923--953",
  doi="10.1145/3704868",
  issn="2475-1421",
  url="https://dl.acm.org/doi/10.1145/3704868"
}