Simultaneous Measurement of Non-Commuting Observables

Details Simultaneous Measurement of Non-Commuting Observables Simultaneous Measurement of Non-Commuting Observables

2007-02-01

arxiv.org/abs/quant-ph/0702013v1

Beyond the Quantum, World Scientific (2007).

Physics

Quantum Physics

10 pages, 1 figure; Proceedings of the Workshop "Beyond the Quantum" World Scientific (2007)

Scientific paper

It is shown that the full unknown state of a spin-1/2 system, S, which, within Born's statistical interpretation, is meant as the state of an ensamble of identically prepared systems, can be determined with a simultaneous measurement with the help of an "assistant" system A whose initial state is known. The idea is to let S and A interact with each other in a known way during a proper interaction time, to measure simultaneously two observables, one of S and one of A and their correlation. One thus determines the three unknown components of the polarization vector of S by means of repeated experiments using a unique setting. In this way one can measure simultaneously all the non-commutative observables of S, which might seem prohibited in quantum mechanics.

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