4 citations · 4 across the 10 of their papers we have counts for
11 papers
Dynamical Tidal Response and Love Numbers of Massless Bosonic and Fermionic Perturbations of Kerr--Anti-de Sitter Black Holes
Himanshu Buragohain, Prabwal Phukon
We examine the tidal response of Kerr--Anti-de Sitter black holes using the Teukolsky formalism in a vacuum background. We consider massless perturbations with spin weights $s = 0,…
Quantum Uncomputation of Clean and Dirty Ancilla Qubits
Chenke Liu, Li Zhou, Boning Meng
Automatic uncomputation aims to provide programming-language-level support to facilitate the correct and safe use of ancilla qubits in quantum computing, but efforts have only been…
Reasoning about Continuous-Variable Quantum Systems
Tianshi Yu, Gilles Barthe, Minbo Gao +2
Continuous-variable quantum computing (CVQC) is a computing paradigm in which measurements yield values over a continuous domain. CVQC is both a convenient computational framework…
CrypFormBench: Benchmarking Formal Analysis Capability of Large Language Models for Cryptographic Schemes
Zhaoxuan Li, Qionglu Zhang, Hengyuan Liu +8
Manual formal analysis of cryptographic schemes is labor-intensive and requires substantial expertise. While model-checking tools (e.g., Scyther and Tamarin) and computational-secu…
CAM-Bench: A Benchmark for Computational and Applied Mathematics in Lean
Wentao Long, Yunfei Zhang, Chenyi Li +3
Formal theorem-proving benchmarks enable mechanically verifiable evaluation of mathematical reasoning in large language models. However, existing benchmarks mainly focus on Olympia…
A Compilation Framework for Quantum Simulation of Non-unitary Dynamics
Qifan Huang, Minbo Gao, Li Zhou +1
Most quantum compilers assume programs are reversible unitary circuits. This fits closed-system algorithms, but not open-system simulation, where the natural program objects are qu…
Complete Relational Logic for Infinite-Dimensional Quantum Programs with Unbounded Assertions
Gilles Barthe, Minbo Gao, Jam Kabeer Ali Khan +7
We present sound and complete relational program logics for infinite-dimensional quantum and classical-quantum programs. The logics model assertions as self-adjoint unbounded linea…
D-Hammer: Efficient Equational Reasoning for Labelled Dirac Notation
Yingte Xu, Li Zhou, Gilles Barthe
Labelled Dirac notation is a formalism commonly used by physicists to represent many-body quantum systems and by computer scientists to assert properties of quantum programs. It is…
Complete Quantum Relational Hoare Logics from Optimal Transport Duality
Gilles Barthe, Minbo Gao, Theo Wang +1
We introduce a quantitative relational Hoare logic for quantum programs. Assertions of the logic range over a new infinitary extension of positive semidefinite operators. We prove…
Laws of Quantum Programming
Mingsheng Ying, Li Zhou, Gilles Barthe
In this paper, we investigate the fundamental laws of quantum programming. We extend a comprehensive set of Hoare et al.'s basic laws of classical programming to the quantum settin…
Automating Equational Proofs in Dirac Notation
Yingte Xu, Gilles Barthe, Li Zhou
Dirac notation is widely used in quantum physics and quantum programming languages to define, compute and reason about quantum states. This paper considers Dirac notation from the…