8 papers
Fourier Symmetrization for Geometric Quantum Machine Learning
Letao Wang, Abdel Lisser, Sreejith Sreekumar +1
Geometric quantum machine learning incorporates symmetry into quantum models, but how symmetry shapes their expressivity and guides effective model design remains insufficiently un…
Distributionally Robust Linearly Constrained Minimum Variance Beamforming Under Steering-Vector Mismatch
Raneem Madani, Abdel Lisser, Zeno Toffano
Linearly constrained minimum variance (LCMV) beamforming is a fundamental technique for controlling the array response toward multiple desired signals while suppressing interferenc…
Geometric Algebra Quantum Gate Decomposition
Youssef Amraoui, Zeno Toffano
Quantum gates are usually described through matrix and tensor-product formalisms that often obscure their geometric structure. In this work, we formulate the Pauli and Clifford gro…
Distributionally Robust Complex Chance-Constrained Optimization
Raneem Madani, Abdel Lisser, Zeno Toffano
This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic cons…
Robust Chance Constrained Complex Zero-Sum Games
Raneem Madani, Abdel Lisser, Zeno Toffano
This paper develops a unified framework for zero-sum games in which both the pure strategies and the payoff matrices contain complex-valued entries. By leveraging a linear isomorph…
A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA)
Raneem Madani, Abdel Lisser, Zeno Toffano
Continuous-variable (CV) quantum systems offer a natural framework for continuous optimization through their infinite-dimensional Hilbert spaces. In this paper, we propose the Comp…
Learning PDEs for Portfolio Optimization with Quantum Physics-Informed Neural Networks
Letao Wang, Abdel Lisser, Sreejith Sreekumar +1
Partial differential equations (PDEs) play a crucial role in financial mathematics, particularly in portfolio optimization, and solving them using classical numerical or neural net…
Eigenlogic and Probabilistic Inference; when Bayes meets Born
François Dubois, Zeno Toffano
This paper shows how inference is treated within the context of Eigenlogic projection operators in linear algebra. In Eigenlogic operators represent logical connectives, their eige…