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A detailed theory of quantum premeasurement dynamics is presented in which aunitary composite-system operator that contains the relevantobject-measuring-instrument interaction brings about the final premeasurementstate. It does not include collapse, and it does not consider the environment.It is assumed that a discrete degenerate or non-degenerate observable ismeasured. Premeasurement is defined by the calibration condition, whichrequires that every initially statistically sharp value of the measuredobservable has to be detected with statistical certainty by the measuringinstrument. The entire theory is derived as a logical consequence of thisdefinition using the standard quantum formalism. The study has a comprehensivecoverage, hence the article is actually a topical review. Connection is madewith results of other authors, particularly with basic works on premeasurement.The article is a conceptual review, not a historical one. General exactpremeasurement is defined in 7 equivalent ways. Nondemolition premeasurement,defined by requiring preservation of any sharp value of the measuredobservable, is characterized in 10 equivalent ways. Overmeasurement, i. e., aprocess in which the observable is measured on account of being a function of afiner observable that is actually measured, is discussed. Disentangledpremeasurement, in which, by definition, to each result corresponds only onepointer-observable state in the final composite-system state, is investigated.Ideal premeasurement, a special case of both nondemolition premeasurement anddisentangled premeasurement, is defined, and its most important properties arediscussed. Finally, disentangled and entangled premeasurements, in conjunctionwith nondemolition or demolition premeasurements, are used for classificationof all premeasurements.

A Review of Unitary Quantum Premeasurement Theory An Algebraic Study of Basic Kinds of Premeasurements