Quantum state-space is characterized by fixed 2-norm and 3-norm constraints for pure states and a variance lower bound for all states, using only probabilities from a single complex-projective 3-design reference measurement.
Bohr, The quantum postulate and the recent develop- ment of atomic theory, Nature 121, 580 (1928)
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Characterizing quantum state-space with a single quantum measurement
Quantum state-space is characterized by fixed 2-norm and 3-norm constraints for pure states and a variance lower bound for all states, using only probabilities from a single complex-projective 3-design reference measurement.