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Open Quantum Systems Decoherence
Open quantum dynamics without Complete Positivity: a criticism
arXiv
Authors: Fabio Benatti, Dariusz Chruściński, Saverio Pascazio
Year
2026
Paper ID
63786
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics. We critically examine this requirement and discuss both its physical motivations and its limitations. We analyze proposals based on restricting the domain of non-completely positive maps to subsets of compatible initial states. Using isotropic states as a concrete example, we show that such domain restrictions become increasingly severe with growing system dimension, revealing an intrinsic weakness of the compatibility-based approach.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics.
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