2014/12/24 by Kazuo Fujikawa, C. H. Oh, Sixia Yu · 1 citation
Arts and Humanities · Mathematics · Physics and Astronomy · #Calculus (dental) #Computer science #Conditional expectation #Disturbance (geology) #Econometrics #Eigenvalues and eigenvectors #Epistemology #Geology #Mathematical and Theoretical Analysis #Mathematical economics #Mathematics #Philosophy #Philosophy and History of Science #Physics #Quantum #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Realism #Relation (database) #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.91.012105
published in Physical Review A 91(1) (American Physical Society) · 6 pages. PRA (in press)
arxiv created 2014/12/24 · openalex publication_date 2015/01/14 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We establish a quantitative relation between Hardy's paradox and the breaking of the uncertainty principle in the sense of measurement-disturbance relations in the conditional measurement of noncommuting operators. The analysis of the inconsistency of local realism with entanglement by Hardy is simplified if this breaking of measurement-disturbance relations is taken into account, and a much simplified experimental test of local realism is illustrated in the framework of Hardy's thought experiment. The essence of Hardy's model is identified as a combination of two conditional measurements, which give rise to definite eigenvalues to two noncommuting operators simultaneously in hidden-variables models. Better understanding of the intimate interplay of entanglement and measurement disturbance is crucial in the current discussions of Hardy's paradox using the idea of weak measurement, which is based on a general analysis of measurement-disturbance relations.