A symplectic framework links quantum evolution to classical Hamiltonian dynamics on Kähler manifolds, yielding exponentially compressed quantum representations for integrable systems and approximate versions for others via perturbation theory.
Real quantum mechanics in a K¨ ahler space.arXiv preprint, arXiv:2504.16838 (2025)
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The proposed postulate for choosing between real-number versions of quantum theory does not hold in Fermionic Information Theory and therefore is not general.
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Symplectic perspective to quantum computing for Hamiltonian systems
A symplectic framework links quantum evolution to classical Hamiltonian dynamics on Kähler manifolds, yielding exponentially compressed quantum representations for integrable systems and approximate versions for others via perturbation theory.
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Comment on "Quantum theory based on real numbers cannot be experimentally falsified": On the compatibility of physical principles with information theory for fermions
The proposed postulate for choosing between real-number versions of quantum theory does not hold in Fermionic Information Theory and therefore is not general.
- Quantum mechanics over real numbers fully reproduces standard quantum theory