Protective measurement of the wave function of a single squeezed harmonic-oscillator state

Mathematics – Logic

Scientific paper

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Nonclassical States Of The Electromagnetic Field, Including Entangled Photon States, Quantum State Engineering And Measurements

Scientific paper

A scheme for the "protective measurement"

[Phys. Rev. A 47, 4616 (1993)]
of the wave function of a squeezed harmonic-oscillator state is described. This protective measurement is shown to be equivalent to a measurement of an ensemble of states. The protective measurement, therefore, allows for a definition of the quantum wave function on a single system. Yet, this equivalency also suggests that both measurement schemes account for the epistemological meaning of the wave function only. The protective measurement requires a full a priori knowledge of the measured state. The intermediate cases, in which only partial a priori information is given, are also discussed.

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