A1 Refereed original research article in a scientific journal

Noise-Disturbance Relation and the Galois Connection of Quantum Measurements




AuthorsCarmeli C, Heinosaari T, Miyadera T, Toigo A

PublisherSPRINGER

Publication year2019

JournalFoundations of Physics

Journal name in sourceFOUNDATIONS OF PHYSICS

Journal acronymFOUND PHYS

Volume49

Issue6

First page 492

Last page505

Number of pages14

ISSN0015-9018

eISSN1572-9516

DOIhttps://doi.org/10.1007/s10701-019-00255-1

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/40799391


Abstract
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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