2013/08/16 by Masanao Ozawa, Ozawa, Masanao · 2 citations
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fault Detection and Control Systems #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1308.3540
5 pages, no figures
arxiv created 2013/08/16 · openalex publication_date 2013/08/16 · arxiv updated 2013/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, Busch, Lahti, and Werner (arXiv:1306.1565v1 [quant-ph]) claimed that Heisenberg's error-disturbance relation can be proved in its original form with new formulations of error and disturbance, in contrast to the theory proposed by the present author and confirmed by recent experiments. Despite their claim, it is shown here that a class of solvable models of position measurement with explicit interaction Hamiltonians escape the Busch-Lahti-Werner relation. It is also made clear where their proof fails. Those models have unambiguously defined zero root-mean-square error and finite root-mean-square disturbance in every input state and are naturally considered to violate Heisenberg's error-disturbance relation in any conceivable formulation.