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The density operator describes a quantum system in a (in general mixed) state.
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Non-unqiue basis sets of reduced density matrix in quantum mechanics/decoherence
In Why decoherence solves the measurement problem by Art Hobson:
$|\psi \rangle _{SA} = c_1|s_1 \rangle |a_1 \rangle + c_2 |s_2\rangle |a_2 \rangle$
which is a wavefunction that describes non-local e …