Almost every quantum channel and almost every Lindblad semigroup turns the time series of one non-trivial expectation value into a complete tomographic probe, except unitary evolution with simple depolarizing noise, which remains insufficient beyond qubits.
Quantum state tomography with informationally complete povms generated in the time domain
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Quantum tomography from the evolution of a single expectation
Almost every quantum channel and almost every Lindblad semigroup turns the time series of one non-trivial expectation value into a complete tomographic probe, except unitary evolution with simple depolarizing noise, which remains insufficient beyond qubits.