2020/04/30 by E. Martins, Everlyn Martins, M. F. Savi +1 · 14 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Context (archaeology) #Formalism (music) #Mathematics #Observable #Open quantum system #Physical system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum information #Quantum measurement #Quantum mechanics #Quantum operation #Quantum state #Theoretical computer science #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.102.050201
published in Physical Review A 102(5) (American Physical Society) · 5+4 pages, 1 figure
openalex publication_date 2020/11/04 · arxiv created 2020/12/23 · arxiv updated 2020/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Pivotal within quantum physics, the concept of quantum incompatibility is generally related to algebraic aspects of the formalism, such as commutation relations and unbiasedness of bases. Recently, the concept was identified as a resource in tasks involving quantum state discrimination and quantum programmability. Here, we link quantum incompatibility with the amount of information that can be extracted from a system upon successive measurements of noncommuting observables, a scenario related to communication tasks. This approach leads us to characterize incompatibility as a resource encoded in a physical context, which involves both the quantum state and observables. Moreover, starting with a measure of context incompatibility we derive a measurement-incompatibility quantifier that is easily computable, admits a geometrical interpretation, and is maximum only if the eigenbases of the involved observables are mutually unbiased.