Publications

Adrian Lehmann, Ben Caldwell, Bhakti Shah, William Spencer, Robert Rand (2026). VyZX: Formal Verification of a Graphical Quantum Language. ACM Transactions on Programming Languages and Systems (TOPLAS).

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Youngchan Cho, Robert Rand (2026). Efficiently Verifying Quantum Programs with Few T Gates. Verification, Model Checking, and Abstract Interpretation (VMCAI).

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Mikhail Mints, Finn Voichick, Leonidas Lampropoulos, Robert Rand (2025). Compositional Quantum Control Flow with Efficient Compilation in Qunity. Object-Oriented Programming, Systems, Languages & Applications (OOPSLA).

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Anita Buckley, Pavel Chuprikov, Rodrigo Otoni, Robert Soulé, Robert Rand, Patrick Eugster (2025). A Language for Quantifying Quantum Network Behavior. Object-Oriented Programming, Systems, Languages & Applications (OOPSLA).

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Bhakti Shah, William Spencer, Laura Zielinski, Ben Caldwell, Adrian Lehmann, Robert Rand (2024). ViCAR: Visualizing Categories with Automated Rewriting in Coq. The 7th International Conference on Applied Category Theory (ACT).

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Finn Voichick, Leonidas Lampropoulos, Robert Rand (2024). COGNAC: Circuit Optimization via Gradients and Noise-Aware Compilation.

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Adrian Lehmann, Ben Caldwell, John Reppy, Robert Rand (2024). Automated Proof Generation for Associative and Distributive Rewriting with E-Graphs. E-Graph Research, Applications, Practices, and Human-factors (EGRAPHS).

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Anita Buckley, Pavel Chuprikov, Rodrigo Otoni, Robert Rand, Robert Soulé, Patrick Eugster (2024). An Algebraic Language for Specifying Quantum Networks. Programming Language Design and Implementation (PLDI).

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Kesha Hietala, Robert Rand, Liyi Li, Shih-Han Hung, Xiaodi Wu, Michael Hicks (2023). A Verified Optimizer for Quantum Circuits. ACM Transactions on Programming Languages and Systems (TOPLAS).

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Yuxiang Peng, Kesha Hietala, Runzhou Tao, Liyi Li, Robert Rand, Michael Hicks, Xiaodi Wu (2023). A Formally Certified End-to-End Implementation of Shor's Factorization Algorithm. Proceedings of the National Academy of Sciences (PNAS).

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Anita Buckley, Pavel Chuprikov, Rodrigo Otoni, Robert Rand, Robert Soulé, Patrick Eugster (2023). Towards an Algebraic Specification of Quantum Networks. Quantum Networks and Distributed Quantum Computing (QuNET).

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Finn Voichick, Liyi Li, Robert Rand, Michael Hicks (2023). Qunity: A Unified Language for Quantum and Classical Computing. Principles of Programming Languages (POPL).

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Aidan Evans, Seun Omonije, Robert Soulé, Robert Rand (2023). MCBeth: A Measurement-based Quantum Programming Language. Quantum Software Engineering (Q-SE).

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Aarthi Sundaram, Robert Rand, Kartik Singhal, Brad Lackey (2023). Hoare meets Heisenberg: A Lightweight Logic for Quantum Programs. Preprint.

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Kartik Singhal, Robert Rand, Matthew Amy (2022). Beyond Separation: Toward a Specification Language for Modular Reasoning about Quantum Programs. Programming Languages for Quantum Computing (PLanQC 2022) Poster Session.

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Kesha Hietala, Sarah Marshall, Robert Rand, Nikhil Swamy (2022). Q*: Implementing Quantum Separation Logic in F*. The Third International Workshop on Programming Languages for Quantum Computing (PLanQC 2022).

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Giovanni De Micheli, Jie-Hong R. Jiang, Robert Rand, Kaitlin Smith, Mathias Soeken (2022). Advances in Quantum Computation and Quantum Technologies: A Design Automation Perspective. IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

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Kartik Singhal, Kesha Hietala, Sarah Marshall, Robert Rand (2022). Q# as a Quantum Algorithmic Language. Quantum Physics and Logic (QPL).

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Adrian Lehmann, Ben Caldwell, Robert Rand (2022). VyZX: A Vision for Verifying the ZX Calculus.

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Jacob Zweifler, Kesha Hietala, Robert Rand (2022). QuantumLib: A Library for Quantum Computing in Coq. The Coq Workshop 2022.

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Aarthi Sundaram, Robert Rand, Kartik Singhal, Brad Lackey (2022). A Rich Type System for Quantum Programs.

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Kartik Singhal, Sarah Marshall, Kesha Hietala, Robert Rand (2021). Toward a Type-Theoretic Interpretation of Q#. International Workshop on Programming Languages for Quantum Computing (PLanQC 2021).

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Robert Rand, Aarthi Sundaram, Kartik Singhal, Brad Lackey (2021). Extending Gottesman Types Beyond the Clifford Group. International Workshop on Programming Languages for Quantum Computing (PLanQC 2021).

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Kesha Hietala, Liyi Li, Akshaj Gaur, Aaron Green, Robert Rand, Xiaodi Wu, Michael Hicks (2021). Expanding the VOQC Toolkit. International Workshop on Programming Languages for Quantum Computing (PLanQC 2021).

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Sarah Marshall, Kartik Singhal, Kesha Hietala, Robert Rand (2021). Toward Formalizing the Q# Programming Language. International Conference on Quantum Physics and Logic (QPL 2021) Poster.

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Kesha Hietala, Robert Rand, Shih-Han Hung, Liyi Li, Michael Hicks (2021). Proving Quantum Programs Correct. Interactive Theorem Proving (ITP).

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Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, Michael Hicks (2021). A Verified Optimizer for Quantum Circuits. Principles of Programming Languages (POPL).

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Jacob Zweifler, Robert Rand (2020). Formal Verification of Gottesman Semantics. International Conference on Quantum Physics and Logic (QPL 2021) Poster.

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Kartik Singhal, Robert Rand, Michael Hicks (2020). Verified translation between low-level quantum languages. International Workshop on Programming Languages for Quantum Computing (PLanQC 2020).

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Kesha Hietala, Robert Rand, Michael Hicks (2020). Tracking Errors through Types in Quantum Programs. International Workshop on Programming Languages for Quantum Computing (PLanQC 2020).

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Robert Rand, Aarthi Sundaram, Kartik Singhal, Brad Lackey (2020). Gottesman Types for Quantum Programs. International Conference on Quantum Physics and Logic (QPL 2020).

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Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, Michael Hicks (2020). A Verified Optimizer for Quantum Circuits. International Workshop on Programming Languages for Quantum Computing (PLanQC 2020).

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Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, Michael Hicks (2019). Verified Optimization in a Quantum Intermediate Representation. Workshop on Noisy Intermediate-Scale Quantum Technologies (NISQ 2020) Poster.

Poster

Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, Michael Hicks (2019). Verified Optimization in a Quantum Intermediate Representation. Presented at the International Conference on Quantum Physics and Logic (QPL 2019).

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Robert Rand, Kesha Hietala, Michael Hicks (2019). Formal Verification vs. Quantum Uncertainty. Summit on Advances in Programming Languages (SNAPL 2019).

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Robert Rand (2018). Formally Verified Quantum Programming. University of Pennsylvania Dissertations.

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Robert Rand, Jennifer Paykin, Dong-Ho Lee, Steve Zdancewic (2018). ReQWIRE: Reasoning about Reversible Quantum Circuits. International Conference on Quantum Physics and Logic (QPL 2018).

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Robert Rand, Jennifer Paykin, Steve Zdancewic (2018). Phantom Types for Quantum Programs. International Workshop on Coq for Programming Languages (CoqPL 2018).

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Robert Rand, Jennifer Paykin, Steve Zdancewic (2017). QWIRE Practice: Formal Verification of Quantum Circuits in Coq. International Conference on Quantum Physics and Logic (QPL 2017).

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Jennifer Paykin, Robert Rand, Steve Zdancewic (2017). QWIRE: A Core Language for Quantum Circuits. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL 2017).

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Jennifer Paykin, Robert Rand, Steve Zdancewic (2016). QWIRE: A QRAM-Inspired Quantum Circuit Language. International Conference on Quantum Physics and Logic (QPL 2016) Poster.

Poster

Robert Rand (2016). Verification Logics for Quantum Programs. Written Preliminary Examination II.

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Robert Rand, Steve Zdancewic (2016). Models for Probabilistic Programs with an Adversary. Probabilistic Programming Semantics (PPS 2016).

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Robert Rand, Steve Zdancewic (2015). VPHL: A Verified Partial-Correctness Logic for Probabilistic Programs. Mathematical Foundations of Programming Semantics (MFPS 2015).

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Robert Rand (2015). Verifying Probabilistic Programs in the Presence of an Adversary. International Conference on Functional Programming (ICFP 2015) Poster.

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Kira Adaricheva, James B Nation, Robert Rand (2013). Ordered direct implicational basis of a finite closure system. Discrete Applied Mathematics.

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Robert Noah Rand (2011). Ordered Directness and Efficiently Computing Closures.

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Endre Boros, Robert Rand (2009). Terminal games with three terminals have proper Nash equilibria. RUTCOR Research Report.

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