We conjecture analytic expressions for the nonlocal magic of bipartite pure qudit states of prime local dimension. Our construction relies on the Schmidt-aligned state attaining the minimum over local unitaries, a hypothesis that we support with numerical evidence for pairs of qutrits and ququints. For composite local dimensions, we find that the analogous expressions do not in general reproduce the global minimum, but can still provide computationally cheap approximations to the nonlocal magic. We also find that relations between nonlocal magic and entanglement diagnostics that hold for two qubits generally do not extend to qutrit and higher-dimensional systems. As a few-body application, we evaluate the qutrit nonlocal magic generated by elastic pion scattering, treating hadronic isospin as the qutrit. We find that $p$-wave charged pion scattering realizes the maximum nonlocal magic allowed in the system just below the $\rho$-meson resonance.

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• Quantum correlations in quantum information
• Quantum correlations, foundations & formalism
• Quantum information theory