2007/03/31 by Yuji Kurotani, Takahiro Sagawa, Masahito Ueda
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bohr model #Complementarity (molecular biology) #Computer science #Data mining #Law #Mathematical analysis #Mathematical economics #Mathematics #Observable #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #Relation (database) #Representation (politics) #Statistical physics #Upper and lower bounds #quant-ph
paper · pdf · doi:10.1103/physreva.76.022325
published as Phys. Rev. A 76, 022325 (2007) · 4 pages, 1 figure
openalex publication_date 2007/08/22 · arxiv created 2007/09/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A trade-off relation on our knowledge about two noncommuting observables of a qubit system in simultaneous measurement is formulated. The obtained inequality offers a quantitative information-theoretic representation of Bohr's principle of complementarity, and can be interpreted as a trade-off relation on the asymptotic accuracy of the maximum-likelihood estimation of the probability distributions of observables.