A five-step algorithmic procedure derives a classical Hamiltonian and symplectic structure on CP^{N-1} that yields N-1 Hamilton equations exactly replicating the quantum dynamics of any N-level system, demonstrated on two-qubit entanglement.
Note that, in flat spaces such asR2n, the canonical symplectic form is used, ωjk = 1, yielding the usual Hamilton’s equations dqi dt = ∂H ∂pi , dpi dt = − ∂H ∂qi
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An Exact Five-Step Method for Classicalizing N-level Quantum Systems: Application to Quantum Entanglement Dynamics
A five-step algorithmic procedure derives a classical Hamiltonian and symplectic structure on CP^{N-1} that yields N-1 Hamilton equations exactly replicating the quantum dynamics of any N-level system, demonstrated on two-qubit entanglement.