A1 Refereed original research article in a scientific journal
Noise-Disturbance Relation and the Galois Connection of Quantum Measurements
Authors: Carmeli C, Heinosaari T, Miyadera T, Toigo A
Publisher: SPRINGER
Publication year: 2019
Journal: Foundations of Physics
Journal name in source: FOUNDATIONS OF PHYSICS
Journal acronym: FOUND PHYS
Volume: 49
Issue: 6
First page : 492
Last page: 505
Number of pages: 14
ISSN: 0015-9018
eISSN: 1572-9516
DOI: https://doi.org/10.1007/s10701-019-00255-1
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/40799391
The relation between noise and disturbance is investigated within the general framework of Galois connections. Within this framework, we introduce the notion of leak of information, mathematically defined as one of the two closure maps arising from the observable-channel compatibility relation. We provide a physical interpretation for it, and we give a comparison with the analogous closure maps associated with joint measurability and simulability for quantum observables.
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