Uncertainty principle of quantum processes

Heisenberg's uncertainty principle, which imposes intrinsic restrictions on our ability to predict the outcomes of incompatible quantum measurements arbitrary precision, demonstrates one key differences between classical and mechanics. The physical systems considered in principle are static nature described mathematically with a state Hilbert space. However, many dynamic formalism channel. In this paper, we show that can be reformulated include process performed channels. Since both preparation states implementation themselves special cases channels, encapsulates its utmost generality. More specifically, obtain expressions generalize Maassen–Uffink relation universal relations from channels.Received 19 April 2020Accepted 29 March 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.023077Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasQuantum channelsQuantum foundationsQuantum measurementsQuantum InformationGeneral Physics