2000/05/16 by Masanao Ozawa
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Computer science #Disturbance (geology) #Engineering #Joint (building) #Joint probability distribution #Mathematics #Observable #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.63.032109
published as Phys. Rev. A 63 (2001) 032109 · 32 pages, REVTeX
arxiv created 2000/05/16 · openalex publication_date 2001/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to provide foundations of joint statistics of local general measurements on entangled systems in a general theoretical framework, the question is answered as to under what condition the outputs of two measuring apparatuses satisfy the joint probability formula for simultaneous measurements of their observables. For this purpose, all the possible state changes caused by measurements of an observable are characterized, and the notion of disturbance in measurement is formalized in terms of operations derived by the measuring interaction.