Quantum theory of successive projective measurements

Details Quantum theory of successive projective measurements Quantum theory of successive projective measurements

2007-05-02

arxiv.org/abs/0705.0229v1

Phys. Rev. A76, 012119 (2007)

Physics

Quantum Physics

6 pages

Scientific paper

10.1103/PhysRevA.76.012119

We show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both be observed in successive projective measurements. The complex modification term is a measure of measurement disturbance. A selective phase rotation is needed to obtain the imaginary part. This leads to a complex quasiprobability, the Kirkwood distribution. We show that the Kirkwood distribution contains full information about the state if the two observables are maximal and complementary. The Kirkwood distribution gives a new picture of state reduction. In a nonselective measurement, the modification term vanishes. A selective measurement leads to a quantum state as a nonnegative conditional probability. We demonstrate the special significance of the Schwinger basis.

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