Quantum PL & Verification Bibliography

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[1] Samson Abramsky and Bob Coecke. A Categorical Semantics of Quantum Protocols. In Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, LICS '04, pages 415–425, Los Alamitos, CA, USA, July 2004. IEEE Computer Society. [ bib | DOI | arXiv | Abstract ]
[2] Samson Abramsky and Bob Coecke. Categorical Quantum Mechanics. In Kurt Engesser, Dov M. Gabbay, and Daniel Lehmann, editors, Handbook of Quantum Logic and Quantum Structures, pages 261–323. Elsevier, Amsterdam, November 2008. [ bib | DOI | arXiv | Abstract ]
[3] Thorsten Altenkirch and Jonathan Grattage. A Functional Quantum Programming Language. In Proceedings of the 20th Annual IEEE Symposium on Logic in Computer Science, LICS '05, pages 249–258, Los Alamitos, CA, USA, June 2005. IEEE Computer Society. [ bib | DOI | arXiv | Abstract ]
[4] Thorsten Altenkirch and Alexander S. Green. The Quantum IO Monad. In Gay and Mackie [46], pages 173–205. [ bib | DOI | .pdf | Abstract ]
[5] Matthew Amy. Formal Methods in Quantum Circuit Design. PhD thesis, University of Waterloo, Waterloo, Ontario, Canada, February 2019. [ bib | http | Abstract ]
[6] Matthew Amy. Sized Types for Low-Level Quantum Metaprogramming. In Michael Kirkedal Thomsen and Mathias Soeken, editors, Reversible Computation (RC '19), volume 11497 of Lecture Notes in Computer Science, pages 87–107, Cham, May 2019. Springer International Publishing. [ bib | DOI | arXiv | Abstract ]
[7] Matthew Amy. Towards Large-Scale Functional Verification of Universal Quantum Circuits. In Peter Selinger and Giulio Chiribella, editors, Proceedings of the 15th International Conference on Quantum Physics and Logic (QPL), Halifax, Canada, June 3–7, 2018, volume 287 of Electronic Proceedings in Theoretical Computer Science, pages 1–21, Waterloo, NSW, Australia, January 2019. Open Publishing Association. [ bib | DOI | Abstract ]
[8] Matthew Amy and Vlad Gheorghiu. staq – A full-stack quantum processing toolkit. Quantum Science and Technology, 5(3):034016, June 2020. [ bib | DOI | arXiv | https | Abstract ]
[9] Ebrahim Ardeshir-Larijani, Simon J. Gay, and Rajagopal Nagarajan. Automated Equivalence Checking of Concurrent Quantum Systems. ACM Transactions on Computational Logic, 19(4):28, November 2018. [ bib | DOI | http | Abstract ]
[10] Miriam Backens. The ZX-calculus is complete for stabilizer quantum mechanics. New Journal of Physics, 16(9):093021, September 2014. [ bib | DOI | Abstract ]
[11] Costin Bădescu and Prakash Panangaden. Quantum Alternation: Prospects and Problems. In Chris Heunen, Peter Selinger, and Jamie Vicary, editors, Proceedings of the 12th International Workshop on Quantum Physics and Logic (QPL), Oxford, U.K., July 15–17, 2015, volume 195 of Electronic Proceedings in Theoretical Computer Science, pages 33–42, Waterloo, NSW, Australia, November 2015. Open Publishing Association. [ bib | DOI | Abstract ]
[12] John C. Baez and Mike Stay. Physics, Topology, Logic and Computation: A Rosetta Stone. In Bob Coecke, editor, New Structures for Physics, pages 95–172. Springer, Berlin, Heidelberg, July 2010. [ bib | DOI | arXiv | Abstract ]
[13] Stefano Bettelli, Tommaso Calarco, and Luciano Serafini. Toward an Architecture for Quantum Programming. European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, 25(2):181–200, August 2003. [ bib | DOI | arXiv | Abstract ]
[14] Benjamin Bichsel, Maximilian Baader, Timon Gehr, and Martin Vechev. Silq: A High-Level Quantum Language with Safe Uncomputation and Intuitive Semantics. In Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation, PLDI '20, pages 286–300, New York, NY, USA, June 2020. Association for Computing Machinery. [ bib | DOI | .pdf | Abstract ]
[15] Jaap Boender, Florian Kammüller, and Rajagopal Nagarajan. Formalization of Quantum Protocols using Coq. In Chris Heunen, Peter Selinger, and Jamie Vicary, editors, Proceedings of the 12th International Workshop on Quantum Physics and Logic (QPL), Oxford, U.K., July 15–17, 2015, volume 195 of Electronic Proceedings in Theoretical Computer Science, pages 71–83, Waterloo, NSW, Australia, November 2015. Open Publishing Association. [ bib | DOI | Abstract ]
[16] Anthony Bordg, Hanna Lachnitt, and Yijun He. Certified Quantum Computation in Isabelle/HOL. Journal of Automated Reasoning, 65(5):691–709, December 2020. [ bib | DOI | .html | Abstract ]
[17] Anthony Bordg, Hanna Lachnitt, and Yijun He. Isabelle Marries Dirac: a Library for Quantum Computation and Quantum Information. Archive of Formal Proofs, 2020, November 2020. [ bib | .html | Abstract ]
[18] Hans J. Briegel, Dan E. Browne, Wolfgang Dür, Robert Raußendorf, and Maarten Van den Nest. Measurement-Based Quantum Computation. Nature Physics, 5(1):19–26, January 2009. [ bib | DOI | arXiv | Abstract ]
[19] Kostia Chardonnet, Benoît Valiron, and Renaud Vilmart. Geometry of Interaction for ZX-Diagrams. In Filippo Bonchi and Simon J. Puglisi, editors, 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021), volume 202 of Leibniz International Proceedings in Informatics (LIPIcs), pages 30:1–30:16, Dagstuhl, Germany, August 2021. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. [ bib | DOI | https | Abstract ]
[20] Christophe Chareton, Sébastien Bardin, François Bobot, Valentin Perrelle, and Benoît Valiron. An Automated Deductive Verification Framework for Circuit-Building Quantum Programs. In Nobuko Yoshida, editor, Programming Languages and Systems, ESOP 2021, volume 12648 of Lecture Notes in Computer Science, pages 148–177, Cham, March 2021. Springer International Publishing. [ bib | DOI | arXiv | Abstract ]
[21] Christophe Chareton, Sébastien Bardin, Dongho Lee, Benoît Valiron, Renaud Vilmart, and Zhaowei Xu. Formal Methods for Quantum Programs: A Survey, September 2021. To appear as Chapter “Formal methods for Quantum Algorithms” in “Handbook of Formal Analysis and Verification in Cryptography”, CRC. [ bib | arXiv | Abstract ]
[22] Frederic T. Chong, Diana Franklin, and Margaret Martonosi. Programming languages and compiler design for realistic quantum hardware. Nature, 549(7671):180–187, September 2017. Review Article. [ bib | DOI | Abstract ]
[23] Vikraman Choudhury, Jacek Karwowski, and Amr Sabry. Symmetries in Reversible Programming: From Symmetric Rig Groupoids to Reversible Programming Languages. Proceedings of the ACM on Programming Languages, 6(POPL), January 2022. [ bib | DOI | https | Abstract ]
[24] Vikraman Choudhury, Amr Sabry, and Borislav Agapiev. Scheme Pearl: Quantum Continuations, September 2022. 2022 Workshop on Scheme and Functional Programming. [ bib | .pdf | Abstract ]
[25] Cirq Developers. Cirq, July 2018. [ bib | DOI | https | Abstract ]
[26] Bob Coecke and Ross Duncan. Interacting Quantum Observables: Categorical Algebra and Diagrammatics. New Journal of Physics, 13(4):043016, April 2011. [ bib | DOI | Abstract ]
[27] Bob Coecke and Aleks Kissinger. Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning. Cambridge University Press, Cambridge, March 2017. [ bib | DOI | Abstract ]
[28] Andrea Colledan and Ugo Dal Lago. On Dynamic Lifting and Effect Typing in Circuit Description Languages (Extended Version), February 2022. [ bib | arXiv | Abstract ]
[29] Andrew W. Cross, Lev S. Bishop, John A. Smolin, and Jay M. Gambetta. Open Quantum Assembly Language, July 2017. [ bib | arXiv | https | Abstract ]
[30] Andrew W. Cross, Ali Javadi-Abhari, Thomas Alexander, Niel de Beaudrap, Lev S. Bishop, Steven Heidel, Colm A. Ryan, Prasahnt Sivarajah, John Smolin, Jay M. Gambetta, and Blake R. Johnson. OpenQASM 3: A Broader and Deeper Quantum Assembly Language. ACM Transactions on Quantum Computing, 3(3):12, September 2022. [ bib | DOI | arXiv | https | Abstract ]
[31] Ugo Dal Lago, Claudia Faggian, Benoît Valiron, and Akira Yoshimizu. The Geometry of Parallelism: Classical, Probabilistic, and Quantum Effects. In Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages, POPL '17, pages 833–845, New York, NY, USA, January 2017. Association for Computing Machinery. [ bib | DOI | arXiv | Abstract ]
[32] Liliane-Joy Dandy, Emmanuel Jeandel, and Vladimir Zamdzhiev. Qimaera: Type-safe (Variational) Quantum Programming in Idris, November 2021. [ bib | arXiv | https | Abstract ]
[33] Vincent Danos, Elham Kashefi, and Prakash Panangaden. The Measurement Calculus. Journal of the ACM, 54(2):8, April 2007. [ bib | DOI | .pdf | Abstract ]
[34] Vincent Danos, Elham Kashefi, Prakash Panangaden, and Simon Perdrix. Extended Measurement Calculus. In Gay and Mackie [46], pages 235–310. [ bib | DOI | Abstract ]
[35] Ellie D'Hondt and Prakash Panangaden. Quantum Weakest Preconditions. Mathematical Structures in Computer Science, 16(3):429–451, June 2006. [ bib | DOI | .pdf | Abstract ]
[36] Mnacho Echenim. Quantum projective measurements and the CHSH inequality. Archive of Formal Proofs, 2021, March 2021. [ bib | .html | Abstract ]
[37] Mnacho Echenim and Mehdi Mhalla. Quantum projective measurements and the CHSH inequality in Isabelle/HOL, March 2021. [ bib | arXiv | Abstract ]
[38] Yuan Feng, Sanjiang Li, and Mingsheng Ying. Verification of Distributed Quantum Programs. ACM Transactions on Computational Logic, 23(3):19, July 2022. [ bib | DOI | arXiv | Abstract ]
[39] Yuan Feng and Mingsheng Ying. Quantum Hoare Logic with Classical Variables. ACM Transactions on Quantum Computing, 2(4):16, December 2021. [ bib | DOI | arXiv | Abstract ]
[40] Peng Fu, Kohei Kishida, Neil J. Ross, and Peter Selinger. A Tutorial Introduction to Quantum Circuit Programming in Dependently Typed Proto-Quipper. In Ivan Lanese and Mariusz Rawski, editors, Reversible Computation (RC '20), volume 12227 of Lecture Notes in Computer Science, pages 153–168, Cham, July 2020. Springer International Publishing. [ bib | DOI | arXiv | Abstract ]
[41] Peng Fu, Kohei Kishida, Neil J. Ross, and Peter Selinger. A biset-enriched categorical model for Proto-Quipper with dynamic lifting. In Proceedings of the 19th International Conference on Quantum Physics and Logic (QPL), Oxford, U.K., June 27–July 1, 2022. Open Publishing Association, April 2022. To appear. [ bib | arXiv | Abstract ]
[42] Peng Fu, Kohei Kishida, Neil J. Ross, and Peter Selinger. Proto-Quipper with dynamic lifting. Proceedings of the ACM on Programming Languages, 7(POPL), April 2022. To appear at POPL '23. [ bib | DOI | arXiv | https | Abstract ]
[43] Peng Fu, Kohei Kishida, and Peter Selinger. Linear Dependent Type Theory for Quantum Programming Languages: Extended Abstract. In Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '20, pages 440–453, New York, NY, USA, July 2020. Association for Computing Machinery. [ bib | DOI | Abstract ]
[44] Peng Fu, Kohei Kishida, and Peter Selinger. Linear Dependent Type Theory for Quantum Programming Languages. Logical Methods in Computer Science, 18(3):28, September 2022. [ bib | DOI | Abstract ]
[45] Simon J. Gay. Quantum Programming Languages: Survey and Bibliography. Mathematical Structures in Computer Science, 16(4):581–600, August 2006. [ bib | DOI | http | Abstract ]
[46] Simon J. Gay and Ian Mackie, editors. Semantic Techniques in Quantum Computation. Cambridge University Press, Cambridge, November 2009. [ bib | DOI | Abstract ]
[47] Simon J. Gay and Rajagopal Nagarajan. Communicating Quantum Processes. In Proceedings of the 32nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL '05, pages 145–157, New York, NY, USA, January 2005. Association for Computing Machinery. [ bib | DOI | arXiv | .pdf | Abstract ]
[48] Simon J. Gay, Rajagopal Nagarajan, and Nikolaos Papanikolaou. QMC: A Model Checker for Quantum Systems. In Aarti Gupta and Sharad Malik, editors, Computer Aided Verification (CAV '08), volume 5123 of Lecture Notes in Computer Science, pages 543–547, Berlin, Heidelberg, July 2008. Springer. [ bib | DOI | arXiv | Abstract ]
[49] Vlad Gheorghiu. Quantum++: A modern C++ quantum computing library. PLoS ONE, 13(12):e0208073, December 2018. [ bib | DOI | https | Abstract ]
[50] Jonathan Grattage. An Overview of QML With a Concrete Implementation in Haskell. In Proceedings of the Joint 5th International Workshop on Quantum Physics and Logic and 4th Workshop on Developments in Computational Models (QPL/DCM 2008), volume 270 of Electronic Notes in Theoretical Computer Science, pages 165–174. Elsevier, February 2011. [ bib | DOI | arXiv | Abstract ]
[51] Alexander S. Green. Towards a Formally Verified Functional Quantum Programming Language. PhD thesis, University of Nottingham, July 2010. [ bib | http | Abstract ]
[52] Alexander S. Green, Peter LeFanu Lumsdaine, Neil J. Ross, Peter Selinger, and Benoît Valiron. An Introduction to Quantum Programming in Quipper. In Gerhard W. Dueck and D. Michael Miller, editors, Reversible Computation (RC '13), volume 7948 of Lecture Notes in Computer Science, pages 110–124, Berlin, Heidelberg, July 2013. Springer. [ bib | DOI | arXiv | Abstract ]
[53] Alexander S. Green, Peter LeFanu Lumsdaine, Neil J. Ross, Peter Selinger, and Benoît Valiron. Quipper: A Scalable Quantum Programming Language. In Proceedings of the 34th ACM SIGPLAN Conference on Programming Language Design and Implementation, PLDI '13, pages 333–342, New York, NY, USA, June 2013. Association for Computing Machinery. [ bib | DOI | arXiv | Abstract ]
[54] Thomas Häner, Vadym Kliuchnikov, Martin Roetteler, Mathias Soeken, and Alexander Vaschillo. QParallel: Explicit Parallelism for Programming Quantum Computers, October 2022. [ bib | arXiv | Abstract ]
[55] Ichiro Hasuo and Naohiko Hoshino. Semantics of higher-order quantum computation via geometry of interaction. Annals of Pure and Applied Logic, 168(2):404–469, February 2017. Eighth Games for Logic and Programming Languages Workshop (GaLoP). [ bib | DOI | arXiv | Abstract ]
[56] Bettina Heim. Development of Quantum Applications. PhD thesis, ETH Zurich, Zurich, December 2020. [ bib | DOI | Abstract ]
[57] Bettina Heim, Mathias Soeken, Sarah Marshall, Christopher E. Granade, Martin Roetteler, Alan Geller, Matthias Troyer, and Krysta M. Svore. Quantum Programming Languages. Nature Reviews Physics, 2(12):709–722, December 2020. [ bib | DOI | https | Abstract ]
[58] Chris Heunen and Robin Kaarsgaard. Quantum Information Effects. Proceedings of the ACM on Programming Languages, 6(POPL):2, January 2022. [ bib | DOI | https | Abstract ]
[59] Chris Heunen and Jamie Vicary. Categories for Quantum Theory: An Introduction. Oxford University Press, Oxford, November 2019. [ bib | DOI | Abstract ]
[60] Kesha Hietala. A Verified Software Toolchain For Quantum Programming. PhD thesis, University of Maryland, College Park, MD, USA, July 2022. [ bib | DOI | Abstract ]
[61] Kesha Hietala, Robert Rand, Shih-Han Hung, Liyi Li, and Michael Hicks. Proving Quantum Programs Correct. In Liron Cohen and Cezary Kaliszyk, editors, 12th International Conference on Interactive Theorem Proving (ITP 2021), volume 193 of Leibniz International Proceedings in Informatics (LIPIcs), pages 21:1–21:19, Dagstuhl, Germany, June 2021. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. [ bib | DOI | https | Abstract ]
[62] Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, and Michael Hicks. A Verified Optimizer for Quantum Circuits. Proceedings of the ACM on Programming Languages, 5(POPL):37, January 2021. [ bib | DOI | arXiv | https | Abstract ]
[63] Kentaro Honda. Analysis of Quantum Entanglement in Quantum Programs using Stabilizer Formalism. In Chris Heunen, Peter Selinger, and Jamie Vicary, editors, Proceedings of the 12th International Workshop on Quantum Physics and Logic (QPL), Oxford, U.K., July 15–17, 2015, volume 195 of Electronic Proceedings in Theoretical Computer Science, pages 262–272, Waterloo, NSW, Australia, November 2015. Open Publishing Association. [ bib | DOI | Abstract ]
[64] Yipeng Huang and Margaret Martonosi. QDB: From Quantum Algorithms Towards Correct Quantum Programs. In Titus Barik, Joshua Sunshine, and Sarah Chasins, editors, 9th Workshop on Evaluation and Usability of Programming Languages and Tools (PLATEAU 2018), volume 67 of OpenAccess Series in Informatics (OASIcs), pages 4:1–4:14, Dagstuhl, Germany, January 2019. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. [ bib | DOI | Abstract ]
[65] Mathieu Huot and Sam Staton. Quantum channels as a categorical completion. In Proceedings of the 34th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '19, page 35, Los Alamitos, CA, USA, June 2019. IEEE Computer Society. [ bib | DOI | arXiv | Abstract ]
[66] Mathieu Huot and Sam Staton. Universal Properties in Quantum Theory. In Peter Selinger and Giulio Chiribella, editors, Proceedings of the 15th International Conference on Quantum Physics and Logic (QPL), Halifax, Canada, June 3–7, 2018, volume 287 of Electronic Proceedings in Theoretical Computer Science, pages 213–223, Waterloo, NSW, Australia, January 2019. Open Publishing Association. [ bib | DOI | Abstract ]
[67] David Ittah, Thomas Häner, Vadym Kliuchnikov, and Torsten Hoefler. QIRO: A Static Single Assignment-Based Quantum Program Representation for Optimization. ACM Transactions on Quantum Computing, 3(3):14, July 2022. [ bib | DOI | arXiv | Abstract ]
[68] Ali Javadi-Abhari, Arvin Faruque, Mohammad Javad Dousti, Lukas Svec, Oana Catu, Amlan Chakrabarti, Chen-Fu Chiang, Seth Vanderwilt, John Black, Frederic T. Chong, Margaret Martonosi, Martin Suchara, Ken Brown, Massoud Pedram, and Todd Brun. Scaffold: Quantum Programming Language. Technical Report TR-934-12, Princeton University, June 2012. [ bib | https | Abstract ]
[69] Ali Javadi-Abhari, Shruti Patil, Daniel Kudrow, Jeff Heckey, Alexey Lvov, Frederic T. Chong, and Margaret Martonosi. ScaffCC: Scalable Compilation and Analysis of Quantum Programs. Parallel Computing, 45:2–17, June 2015. [ bib | DOI | arXiv | Abstract ]
[70] Xiaodong Jia, Andre Kornell, Bert Lindenhovius, Michael Mislove, and Vladimir Zamdzhiev. Semantics for Variational Quantum Programming. Proceedings of the ACM on Programming Languages, 6(POPL):26, January 2022. [ bib | DOI | arXiv | Abstract ]
[71] Philippe Jorrand and Simon Perdrix. Abstract Interpretation Techniques for Quantum Computation. In Gay and Mackie [46], pages 206–234. [ bib | DOI | Abstract ]
[72] Emanuel Knill. Conventions for Quantum Pseudocode. Technical Report LA-UR-96-2724, Los Alamos National Laboratory, June 1996. [ bib | DOI | Abstract ]
[73] Martin Kong. On the Impact of Affine Loop Transformations in Qubit Allocation. ACM Transactions on Quantum Computing, 2(3):9, September 2021. [ bib | DOI | Abstract ]
[74] Andre Kornell, Bert Lindenhovius, and Michael Mislove. Quantum CPOs. In Benoît Valiron, Shane Mansfield, Pablo Arrighi, and Prakash Panangaden, editors, Proceedings of the 17th International Conference on Quantum Physics and Logic (QPL), Paris, France, June 2–6, 2020, volume 340 of Electronic Proceedings in Theoretical Computer Science, pages 174–187, Waterloo, NSW, Australia, September 2021. Open Publishing Association. [ bib | DOI | Abstract ]
[75] Ryan LaRose. Overview and Comparison of Gate Level Quantum Software Platforms. Quantum, 3:130, March 2019. [ bib | DOI | Abstract ]
[76] Ryan LaRose, Andrea Mari, Sarah Kaiser, Peter J. Karalekas, Andre A. Alves, Piotr Czarnik, Mohamed El Mandouh, Max H. Gordon, Yousef Hindy, Aaron Robertson, Purva Thakre, Misty Wahl, Danny Samuel, Rahul Mistri, Maxime Tremblay, Nick Gardner, Nathaniel T. Stemen, Nathan Shammah, and William J. Zeng. Mitiq: A software package for error mitigation on noisy quantum computers. Quantum, 6:774, August 2022. [ bib | DOI | https | Abstract ]
[77] Xuan-Bach Le, Shang-Wei Lin, Jun Sun, and David Sanan. A Quantum Interpretation of Separating Conjunction for Local Reasoning of Quantum Programs Based on Separation Logic. Proceedings of the ACM on Programming Languages, 6(POPL):36, January 2022. [ bib | DOI | Abstract ]
[78] Dongho Lee, Valentin Perrelle, Benoît Valiron, and Zhaowei Xu. Concrete Categorical Model of a Quantum Circuit Description Language with Measurement. In MikoĊ‚aj Bojańczy and Chandra Chekuri, editors, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021), volume 213 of Leibniz International Proceedings in Informatics (LIPIcs), pages 51:1–51:20, Dagstuhl, Germany, November 2021. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. [ bib | DOI | Abstract ]
[79] Marco Lewis, Sadegh Soudjani, and Paolo Zuliani. Formal Verification of Quantum Programs: Theory, Tools and Challenges, October 2021. [ bib | arXiv | Abstract ]
[80] Gushu Li, Li Zhou, Nengkun Yu, Yufei Ding, Mingsheng Ying, and Yuan Xie. Projection-Based Runtime Assertions for Testing and Debugging Quantum Programs. Proceedings of the ACM on Programming Languages, 4(OOPSLA):150, November 2020. [ bib | DOI | Abstract ]
[81] Liyi Li, Finn Voichick, Kesha Hietala, Yuxiang Peng, Xiaodi Wu, and Michael Hicks. Verified Compilation of Quantum Oracles. Proceedings of the ACM on Programming Languages, 6(OOPSLA2):146, October 2022. [ bib | DOI | arXiv | https | Abstract ]
[82] Yangjia Li and Dominique Unruh. Quantum Relational Hoare Logic with Expectations. In Nikhil Bansal, Emanuela Merelli, and James Worrell, editors, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), volume 198 of Leibniz International Proceedings in Informatics (LIPIcs), pages 136:1–136:20, Dagstuhl, Germany, July 2021. Schloss Dagstuhl – Leibniz-Zentrum für Informatik. [ bib | DOI | Abstract ]
[83] Yangjia Li and Mingsheng Ying. Algorithmic Analysis of Termination Problems for Quantum Programs. Proceedings of the ACM on Programming Languages, 2(POPL):35, December 2017. [ bib | DOI | Abstract ]
[84] Bert Lindenhovius, Michael Mislove, and Vladimir Zamdzhiev. Enriching a Linear/Non-Linear Lambda Calculus: A Programming Language for String Diagrams. In Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '18, pages 659–668, New York, NY, USA, July 2018. Association for Computing Machinery. [ bib | DOI | arXiv | Abstract ]
[85] Junyi Liu, Bohua Zhan, Shuling Wang, Shenggang Ying, Tao Liu, Yangjia Li, Mingsheng Ying, and Naijun Zhan. Formal Verification of Quantum Algorithms Using Quantum Hoare Logic. In Isil Dillig and Serdar Tasiran, editors, Computer Aided Verification (CAV '19), volume 11562 of Lecture Notes in Computer Science, pages 187–207, Cham, July 2019. Springer International Publishing. [ bib | DOI | Abstract ]
[86] Junyi Liu, Bohua Zhan, Shuling Wang, Shenggang Ying, Tao Liu, Yangjia Li, Mingsheng Ying, and Naijun Zhan. Quantum Hoare Logic. Archive of Formal Proofs, 2019, March 2019. [ bib | .html | Abstract ]
[87] Mohamed Yousri Mahmoud and Amy P. Felty. Formalization of Metatheory of the Quipper Quantum Programming Language in a Linear Logic. Journal of Automated Reasoning, 63(4):967–1002, June 2019. [ bib | DOI | arXiv | Abstract ]
[88] Alexander McCaskey and Thien Nguyen. A MLIR Dialect for Quantum Assembly Languages. In 2021 IEEE International Conference on Quantum Computing and Engineering (QCE), pages 255–264, Los Alamitos, CA, USA, oct 2021. IEEE Computer Society. [ bib | DOI | arXiv | Abstract ]
[89] Alexander McCaskey, Thien Nguyen, Anthony Santana, Daniel Claudino, Tyler Kharazi, and Hal Finkel. Extending C++ for Heterogeneous Quantum-Classical Computing. ACM Transactions on Quantum Computing, 2(2):6, June 2021. [ bib | DOI | arXiv | Abstract ]
[90] Giulia Meuli, Mathias Soeken, Martin Roetteler, and Thomas Häner. Enabling Accuracy-Aware Quantum Compilers Using Symbolic Resource Estimation. Proceedings of the ACM on Programming Languages, 4(OOPSLA):130, November 2020. [ bib | DOI | Abstract ]
[91] Microsoft. Q# Language Specification, September 2020. [ bib | https | Abstract ]
[92] Michele Mosca, Martin Roetteler, and Peter Selinger. Quantum Programming Languages (Dagstuhl Seminar 18381). Dagstuhl Reports, 8(9):112–132, March 2019. [ bib | DOI | https | Abstract ]
[93] Thien Nguyen and Alexander McCaskey. Retargetable Optimizing Compilers for Quantum Accelerators via a Multilevel Intermediate Representation. IEEE Micro, 42(5):17–33, September 2022. [ bib | DOI | arXiv | Abstract ]
[94] Michael A. Nielsen and Isaac L. Chuang. Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press, Cambridge, December 2010. [ bib | DOI | Abstract ]
[95] Bernhard Ömer. Structured Quantum Programming. PhD thesis, Vienna University of Technology, May 2003. [ bib | .pdf ]
[96] Michele Pagani, Peter Selinger, and Benoît Valiron. Applying Quantitative Semantics to Higher-Order Quantum Computing. In Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL '14, pages 647–658, New York, NY, USA, January 2014. Association for Computing Machinery. [ bib | DOI | arXiv | Abstract ]
[97] Matteo Paltenghi and Michael Pradel. Bugs in Quantum Computing Platforms: An Empirical Study. Proceedings of the ACM on Programming Languages, 6(OOPSLA1):86, April 2022. [ bib | DOI | Abstract ]
[98] Luca Paolini, Mauro Piccolo, and Margherita Zorzi. QPCF: Higher-Order Languages and Quantum Circuits. Journal of Automated Reasoning, 63(4):941–966, March 2019. [ bib | DOI | arXiv | Abstract ]
[99] Luca Paolini, Luca Roversi, and Margherita Zorzi. Quantum Programming Made Easy. In Thomas Ehrhard, Maribel Fernández, Valeria de Paiva, and Lorenzo Tortora de Falco, editors, Proceedings Joint International Workshop on Linearity & Trends in Linear Logic and Applications (Linearity-TLLA '18), Oxford, UK, 7–8 July 2018, volume 292 of Electronic Proceedings in Theoretical Computer Science, pages 133–147. Open Publishing Association, April 2019. [ bib | DOI | Abstract ]
[100] Luca Paolini and Margherita Zorzi. qPCF: A Language for Quantum Circuit Computations. In Theory and Applications of Models of Computation (TAMC '17), volume 10185 of Lecture Notes in Computer Science, pages 455–469, Cham, April 2017. Springer International Publishing. [ bib | DOI | Abstract ]
[101] Anouk Paradis, Benjamin Bichsel, Samuel Steffen, and Martin Vechev. Unqomp: Synthesizing Uncomputation in Quantum Circuits. In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation, PLDI '21, pages 222–236, New York, NY, USA, June 2021. Association for Computing Machinery. [ bib | DOI | Abstract ]
[102] Jennifer Paykin. Linear/Non-Linear Types for Embedded Domain-Specific Languages. PhD thesis, University of Pennsylvania, Philadelphia, PA, USA, August 2018. Publicly Accessible Penn Dissertations. 2752. [ bib | https | Abstract ]
[103] Jennifer Paykin, Robert Rand, and Steve Zdancewic. QWIRE: A Core Language for Quantum Circuits. In Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages, POPL '17, pages 846–858, New York, NY, USA, January 2017. Association for Computing Machinery. [ bib | DOI | .pdf | Abstract ]
[104] Jennifer Paykin and Steve Zdancewic. A HoTT Quantum Equational Theory (Extended Version), April 2019. QPL '19. [ bib | arXiv | Abstract ]
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