Timo Aukusti Laine
Financial Physics Lab, Finland
Publications
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Research Article
Quantum-Native Transformer Architecture: Interference, Partition Functions, and Nonlinear Schrodinger Dynamics
Author(s): Timo Aukusti Laine*
This paper introduces the Quantum Semantic Circuit (QSC), a quantum-native transformer architecture designed to bridge the gap between classical transformers and quantum mechanics. We map classical transformer components to their quantum mechanical counterparts, classifying these correspondences as exact identities, derivational approximations, representational equivalences, or functional analogies. Key findings include the exact correspondence between L2-normalized embeddings and quantum states, softmax attention weights and Boltzmann distributions, quantum interference as a central process, and the derivation of the cubic nonlinear Schrödinger equation (NLSE) as the unique minimal norm-preserving nonlinearity suitable for quantum-native activation functions. We demonstrate that classical sinusoidal position encoding and residual connections are leading-order approximations of e.. Read More»

