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A
Y. Peng
,
Ying, M.
, and
Wu, X.
,
“
Algebraic Reasoning of Quantum Programs via Non-Idempotent Kleene Algebra
”
, 2021.
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X. You
,
Chakrabarti, S.
,
Chen, B.
, and
Wu, X.
,
“
Analyzing Convergence in Quantum Neural Networks: Deviations from Neural Tangent Kernels
”
, 2023.
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C
Y. - H. Chen
,
Chung, K. - M.
,
Lai, C. - Y.
,
Vadhan, S. P.
, and
Wu, X.
,
“
Computational Notions of Quantum Min-Entropy
”
, 2017.
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K. - M. Chung
,
Lee, Y.
,
Lin, H. - H.
, and
Wu, X.
,
“
Constant-round Blind Classical Verification of Quantum Sampling
”
, 2020.
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X. You
,
Chakrabarti, S.
, and
Wu, X.
,
“
A Convergence Theory for Over-parameterized Variational Quantum Eigensolvers
”
, 2022.
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E
M. Barbosa
,
Barthe, G.
,
Fan, X.
,
Grégoire, B.
,
Hung, S. - H.
,
Katz, J.
,
Strub, P. - Y.
,
Wu, X.
, and
Zhou, L.
,
“
EasyPQC: Verifying Post-Quantum Cryptography
”
,
ACM CCS 2021
, 2021.
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J. Leng
,
Li, J.
,
Peng, Y.
, and
Wu, X.
,
“
Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
”
, 2024.
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K. Hietala
,
Li, L.
,
Gaur, A.
,
Green, A.
,
Rand, R.
,
Wu, X.
, and
Hicks, M.
,
“
Expanding the VOQC Toolkit
”
, in
The Second International Workshop on Programming Languages for Quantum Computing (PLanQC 2021)
, 2021.
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F. G. S. L. Brandão
,
Kalev, A.
,
Li, T.
,
Lin, C. Yen- Yu
,
Svore, K. M.
, and
Wu, X.
,
“
Exponential Quantum Speed-ups for Semidefinite Programming with Applications to Quantum Learning
”
, 2017.
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X. You
and
Wu, X.
,
“
Exponentially Many Local Minima in Quantum Neural Networks
”
,
Proceedings of the 38th International Conference on Machine Learning, PMLR
, vol. 139, pp. 12144-12155, 2021.
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L
A. W. Harrow
,
Natarajan, A.
, and
Wu, X.
,
“
Limitations of semidefinite programs for separable states and entangled games
”
,
Commun. Math. Phys.
, vol. 366, no. 2, 2019.
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P
S. Zhu
,
Hung, S. - H.
,
Chakrabarti, S.
, and
Wu, X.
,
“
On the Principles of Differentiable Quantum Programming Languages
”
, 2020.
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Q
L. Li
,
Zhu, M.
,
Cleaveland, R.
,
Nicolellis, A.
,
Lee, Y.
,
Chang, L.
, and
Wu, X.
,
“
Qafny: A Quantum-Program Verifier
”
, 2024.
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L. Li
,
Zhu, M.
,
Cleaveland, R.
,
Lee, Y.
,
Chang, L.
, and
Wu, X.
,
“
Qafny: Quantum Program Verification Through Type-guided Classical Separation Logic
”
, 2023.
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S. Kushnir
,
Leng, J.
,
Peng, Y.
,
Fan, L.
, and
Wu, X.
,
“
QHDOPT: A Software for Nonlinear Optimization with Quantum Hamiltonian Descent
”
, 2024.
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S. - H. Hung
,
Hietala, K.
,
Zhu, S.
,
Ying, M.
,
Hicks, M.
, and
Wu, X.
,
“
Quantitative Robustness Analysis of Quantum Programs (Extended Version)
”
,
Proc. ACM Program. Lang.
, vol. 3, no. POPL, p. Article 31, 2018.
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L. Li
,
Chang, L.
,
Cleaveland, R.
,
Zhu, M.
, and
Wu, X.
,
“
The Quantum Abstract Machine
”
, 2024.
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S. Chakrabarti
,
Childs, A. M.
,
Hung, S. - H.
,
Li, T.
,
Wang, C.
, and
Wu, X.
,
“
Quantum algorithm for estimating volumes of convex bodies
”
,
ACM Transactions on Quantum Computing
, vol. 4, 2023.
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S. Chakrabarti
,
Childs, A. M.
,
Li, T.
, and
Wu, X.
,
“
Quantum algorithms and lower bounds for convex optimization
”
,
Quantum
, vol. 4, no. 221, 2020.
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B. Augustino
,
Leng, J.
,
Nannicini, G.
,
Terlaky, T.
, and
Wu, X.
,
“
A quantum central path algorithm for linear optimization
”
, 2023.
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J. Leng
,
Hickman, E.
,
Li, J.
, and
Wu, X.
,
“
Quantum Hamiltonian Descent
”
, 2023.
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T. Li
and
Wu, X.
,
“
Quantum query complexity of entropy estimation
”
,
IEEE Transactions on Information Theory
, vol. 65, no. 5, pp. 2899-2921, 2019.
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F. G. S. L. Brandão
,
Kalev, A.
,
Li, T.
,
Lin, C. Yen- Yu
,
Svore, K. M.
, and
Wu, X.
,
“
Quantum SDP Solvers: Large Speed-ups, Optimality, and Applications to Quantum Learning
”
,
To appear at the 46th International Colloquium on Automata, Languages and Programming (ICALP 2019)
, 2018.
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S. Chakrabarti
,
Huang, Y.
,
Li, T.
,
Feizi, S.
, and
Wu, X.
,
“
Quantum Wasserstein Generative Adversarial Networks
”
,
Advances in Neural Information Processing Systems (NIPS)
, vol. 32, 2019.
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J. Leng
,
Zheng, Y.
, and
Wu, X.
,
“
A quantum-classical performance separation in nonconvex optimization
”
, 2023.
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