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Equation 3 · The Entry a Relabeling Cannot Write

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BB

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BB

Symbol B

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Start with the setting the open-quantum-systems literature calls a fine description: a Hilbert space Hf\mathcal H_f = HS\mathcal H_S ⊗\otimes HB\mathcal H_B holding a system S and everything else, B , that a working physicist has decided not to track in detail — a resonant bath, an environment, a set of nuclear spins, whatever “everything else” means for the apparatus at hand. The fine Hamiltonian is

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