Notes on Joint Measurability of Quantum Observables
نویسندگان
چکیده
منابع مشابه
Notes on Joint Measurability of Quantum Observables
For sharp quantum observables the following facts hold: (i) if we have a collection of sharp observables and each pair of them is jointly measurable, then they are jointly measurable all together; (ii) if two sharp observables are jointly measurable, then their joint observable is unique and it gives the greatest lower bound for the effects corresponding to the observables; (iii) if we have two...
متن کاملQuantum theory realises all joint measurability graphs
Joint measurability of sharp quantum observables is determined pairwise, and so can be captured in a graph. We prove the converse: any graph, whose vertices represent sharp observables, and whose edges represent joint measurability, is realised by quantum theory. This leads us to show that it is not always possible to use Neumark dilation to turn unsharp observables into sharp ones with the sam...
متن کاملCoexistence and Joint Measurability in Quantum Mechanics
This talk is a survey of the question of joint measurability of coexistent observables and its is based on the monograph Operational Quantum Physics [1] and on the papers [2, 3, 4]. A lecture presented at Quantum Composite Systems 2002, Ustron, Poland, 3.-7.9.2002.
متن کاملAll joint measurability structures are quantum realizable
The general impossibility of jointly implementing arbitrary sets of measurements is a fundamental feature of quantum theory. Indeed, it is a key ingredient that enables a demonstration of the nonclassicality of quantum theory in proofs of Bell’s theorem [1] and the Kochen-Specker theorem [2]. A finite set of measurements is called jointly measurable or compatible if there exists a single measur...
متن کاملLorentz-Invariant “Elements of Reality” and the Question of Joint Measurability of Commuting Observables
It is shown that the joint measurements of some physical variables corresponding to commuting operators performed on preand post-selected quantum systems invariably disturb each other. The significance of this result for recent proofs of the impossibility of realistic Lorentz invariant interpretation of quantum theory (without assumption of locality) is discussed. hep-th/9305162 , TAUP 2027-93,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Foundations of Physics
سال: 2008
ISSN: 0015-9018,1572-9516
DOI: 10.1007/s10701-008-9256-7