Physics – Quantum Physics
Scientific paper
1998-03-17
Int.J.Theor.Phys. 37 (1998) 1491-1510
Physics
Quantum Physics
15 pages. 0 figures. To be published in International Journal of Theoretical Physics
Scientific paper
The concept of experimental accuracy is investigated in the context of the unbiased joint measurement processes defined by Arthurs and Kelly. A distinction is made between the errors of retrodiction and prediction. Four error-disturbance relationships are derived, analogous to the single error-disturbance relationship derived by Braginsky and Khalili in the context of single measurements of position only. A retrodictive and a predictive error-error relationship are also derived. The connection between these relationships and the extended Uncertainty Principle of Arthurs and Kelly is discussed. The similarities and differences between the quantum mechanical and classical concepts of experimental accuracy are explored. It is argued that these relationships provide grounds for questioning Uffink's conclusion, that the concept of a simultaneous measurement of non-commuting observables is not fruitful.
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