LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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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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Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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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.