Statistical distance and the geometry of quantum states
Physical Review Letters · 1994 · 3K citations · 10 references
Quantum-mechanical Density OperatorsEngineeringQuantum MeasurementMeasurement ProblemStatistical DistinguishabilityQuantum ComputingUncertainty QuantificationQuantum StatesQuantum Mechanical PropertyQuantum TheoryQuantum EntanglementStatisticsQuantum SciencePhysicsProbability TheoryStatistical DistanceNatural SciencesUncertainty PrincipleQuantum System
By finding measurements that optimally resolve neighboring quantum states, we use statistical distinguishability to define a natural Riemannian metric on the space of quantum-mechanical density operators and to formulate uncertainty principles that are more general and more stringent than standard uncertainty principles.
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