Multi-bit logical gates are formulated as regularized unbalanced optimal transport problems, yielding finite-time minimal-work bounds, a no-advantage theorem for complete erasure, and near-optimal 2D control protocols.
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Minimally dissipative multi-bit logical operations
Multi-bit logical gates are formulated as regularized unbalanced optimal transport problems, yielding finite-time minimal-work bounds, a no-advantage theorem for complete erasure, and near-optimal 2D control protocols.