Compatibility properties of extreme quantum observables
arXiv:1404.4172 · doi:10.1007/s11005-015-0754-1
Abstract
Recently a problem concerning the equivalence of joint measurability and coexistence of quantum observables was solved [15]. In this paper we generalize two known joint measurability results from sharp observables to the class of extreme observables and study relationships between coexistence, joint measurability, and post-processing of quantum observables when an extreme observable is involved. We also discuss another notion of compatibility and provide a counterexample separating this from the former notions.
14 pages, some refinements in the proofs of theorems 2 and 3 and Corollary 1 as well as a couple of new references compared to the earlier version
References in corpus (6)
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Joint measurability of generalized measurements implies classicality
- Notes on Joint Measurability of Quantum Observables
- Sharp and fuzzy observables on effect algebras
- How sharp are PV measures?
- Complete Characterization of Pure Quantum Measurements and Quantum Channels
Cited by in corpus (8)
- An Invitation to Quantum Incompatibility
- Incompatible measurements in quantum information science
- Exploring the framework of assemblage moment matrices and its applications in device-independent characterizations
- Quantum measurement incompatibility in subspaces
- Operational foundations of complementarity and uncertainty relations
- Uniqueness of the joint measurement and the structure of the set of compatible quantum measurements
- Naimark dilations of qubit POVMs and joint measurements
- Barycentric decomposition for quantum instruments