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Documents authored by Chen, Yu-Fang


Document
Invited Talk
Quantum Circuit Verification - A Potential Roadmap (Invited Talk)

Authors: Parosh Aziz Abdulla, Yu-Fang Chen, Michal Hečko, Lukáš Holík, Ondřej Lengál, Jyun-Ao Lin, and Ramanathan Thinniyam Srinivasan

Published in: LIPIcs, Volume 360, 45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025)


Abstract
Quantum technologies are progressing at an extraordinary pace and are poised to transform numerous sectors both nationally and globally. Among them, quantum computing stands out for its potential to revolutionize areas such as cryptography, optimization, and the simulation of quantum systems, offering dramatic speed-ups for specific classes of problems. As quantum devices evolve and become increasingly pervasive, guaranteeing their correctness is of paramount importance. This necessitates the development of rigorous methods and tools to analyze and verify their behavior. However, the construction of such verification frameworks presents fundamental challenges. Quantum phenomena such as superposition and entanglement give rise to computational behaviors that differ profoundly from those of classical systems, leading to inherently probabilistic models and exponentially large state spaces, even for relatively small programs. Addressing these challenges requires building on the extensive expertise of the formal methods community in classical program verification, while incorporating recent advances and collaborative efforts in quantum systems. An interesting challenge for the verification community is to design and implement novel verification frameworks that transfer the key strengths of classical verification, such as expressive specification, precise error detection, automation, and scalability, to the quantum domain. We expect that the results of this research will play a crucial role in enabling the dependable deployment of quantum technologies across a wide range of future applications.

Cite as

Parosh Aziz Abdulla, Yu-Fang Chen, Michal Hečko, Lukáš Holík, Ondřej Lengál, Jyun-Ao Lin, and Ramanathan Thinniyam Srinivasan. Quantum Circuit Verification - A Potential Roadmap (Invited Talk). In 45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 360, pp. 1:1-1:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@InProceedings{abdulla_et_al:LIPIcs.FSTTCS.2025.1,
  author =	{Abdulla, Parosh Aziz and Chen, Yu-Fang and He\v{c}ko, Michal and Hol{\'\i}k, Luk\'{a}\v{s} and Leng\'{a}l, Ond\v{r}ej and Lin, Jyun-Ao and Srinivasan, Ramanathan Thinniyam},
  title =	{{Quantum Circuit Verification - A Potential Roadmap}},
  booktitle =	{45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025)},
  pages =	{1:1--1:8},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-406-2},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{360},
  editor =	{Aiswarya, C. and Mehta, Ruta and Roy, Subhajit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2025.1},
  URN =		{urn:nbn:de:0030-drops-250806},
  doi =		{10.4230/LIPIcs.FSTTCS.2025.1},
  annote =	{Keywords: Quantum Circuits, Quantum Computing, Program Verification, Automata, Model Checking}
}
Document
Mediating for Reduction (on Minimizing Alternating Büchi Automata)

Authors: Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar

Published in: LIPIcs, Volume 4, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (2009)


Abstract
We propose a new approach for minimizing alternating B\"uchi automata (ABA). The approach is based on the so called \emph{mediated equivalence} on states of ABA, which is the maximal equivalence contained in the so called \emph{mediated preorder}. Two states $p$ and $q$ can be related by the mediated preorder if there is a~\emph{mediator} (mediating state) which forward simulates $p$ and backward simulates $q$. Under some further conditions, letting a computation on some word jump from $q$ to $p$ (due to they get collapsed) preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much more significant reductions when applied within the process of complementing B\"uchi automata where ABA are used as an intermediate model.

Cite as

Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar. Mediating for Reduction (on Minimizing Alternating Büchi Automata). In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 4, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{abdulla_et_al:LIPIcs.FSTTCS.2009.2302,
  author =	{Abdulla, Parosh A. and Chen, Yu-Fang and Holik, Lukas and Vojnar, Tomas},
  title =	{{Mediating for Reduction (on Minimizing Alternating B\"{u}chi Automata)}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{1--12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Kannan, Ravi and Narayan Kumar, K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2302},
  URN =		{urn:nbn:de:0030-drops-23027},
  doi =		{10.4230/LIPIcs.FSTTCS.2009.2302},
  annote =	{Keywords: Alternating Automata, Buchi Automata, Automata Minimization, Buchi Automata Complementation, Simulation Preorder, forward and backward simulation, mediated equivalence}
}
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