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Geometric Algebra Quantum Gate Decomposition
Youssef Amraoui, Zeno Toffano
The paper reformulates Pauli and Clifford quantum gates using complex geometric algebra, interpreting Pauli operators as blades and providing a greedy rotor‑based algorithm for com…
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…
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…
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…