Commutativity of localization effects is not required by basic no-signaling principles for particle-like relativistic quantum systems, and conditional localization POVMs can allow commutativity for practical laboratory setups.
Operator density current and relativistic localization problem
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Spatial Localization of Relativistic Quantum Systems: The Commutativity Requirement and the Locality Principle. Part I: A General Analysis
Commutativity of localization effects is not required by basic no-signaling principles for particle-like relativistic quantum systems, and conditional localization POVMs can allow commutativity for practical laboratory setups.