Journal
PHYSICAL REVIEW A
Volume 88, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.88.022110
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Funding
- Austrian Science Foundation (FWF) [P24973-N20, P21193-N20]
- MIC SCOPE [121806010]
- John Templeton Foundation [35771]
- JSPS KAKENHI [21244007, 24654021]
- Austrian Science Fund (FWF) [P21193, P24973] Funding Source: Austrian Science Fund (FWF)
- Grants-in-Aid for Scientific Research [24654021, 21244007] Funding Source: KAKEN
- Austrian Science Fund (FWF) [P 21193] Funding Source: researchfish
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In its original formulation, Heisenberg's uncertainty principle dealt with the relationship between the error of a quantum measurement and the thereby induced disturbance on the measured object. Meanwhile, Heisenberg's heuristic arguments have turned out to be correct only for special cases. An alternative universally valid relation was derived by Ozawa in 2003. Here, we demonstrate that Ozawa's predictions hold for projective neutron-spin measurements. The experimental inaccessibility of error and disturbance claimed elsewhere has been overcome using a tomographic method. By a systematic variation of experimental parameters in the entire configuration space, the physical behavior of error and disturbance for projective spin-1/2 measurements is illustrated comprehensively. The violation of Heisenberg's original relation, as well as the validity of Ozawa's relation become manifest. In addition, our results conclude that the widespread assumption of a reciprocal relation between error and disturbance is not valid in general.
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