A Theory of Errors in Quantum Measurement

Details A Theory of Errors in Quantum Measurement A Theory of Errors in Quantum Measurement

2003-06-05

arxiv.org/abs/quant-ph/0306037v1

Physics

Quantum Physics

Based on talk at "Spacetime and Fundamental Interactions: Quantum Aspects" A conference to honor A. P. Balachandran's 65th Bir

Scientific paper

10.1142/S0217732303012672

It is common to model random errors in a classical measurement by the normal (Gaussian) distribution, because of the central limit theorem. In the quantum theory, the analogous hypothesis is that the matrix elements of the error in an observable are distributed normally. We obtain the probability distribution this implies for the outcome of a measurement, exactly for the case of 2x2 matrices and in the steepest descent approximation in general. Due to the phenomenon of `level repulsion', the probability distributions obtained are quite different from the Gaussian.

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