Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-ph/9704283 · Physics Letters B

Experimental limits on complete positivity from the system

Fabio Benatti, Roberto Floreanini B

Published May 1, 1997• 35 citations
arXivHTMLPDF
DOI
10.1016/s0370-2693(97)00409-7

Related papers

On the weak-coupling limit and complete positivity

F. Benatti, Roberto Floreanini B

arXiv:quant-ph/0002062•Chaos Solitons & Fractals•Nov 1, 2001•8 citations

Complete positivity and the system

Fabio Benatti, Roberto Floreanini B

arXiv:hep-th/9607059•Physics Letters B•Dec 1, 1996•25 citations

Hamiltonian composite dynamics can almost always lead to negative reduced dynamics

James M. McCracken

Complete positivity is a ubiquitous assumption in the study of quantum systems interacting with the environment. It will be shown that Hamiltonian evolution of a quantum system and its environment can be negative (i.e., not completely positive) in the energy basis, by showing that such evolution is almost always negative for given initial conditions. As such, ignoring or ``correcting'' experimental data that is not completely positive may cause the loss of important information regarding system-environment correlations and coupling. Complete positivity assumptions are an important part of many quantum information theories and it is important to understand how (and why) it appears to be possible to violate the complete positivity requirement in the examples presented here. A relationship between the negativity of an evolution and the eigenvalues of the Hamiltonian will be shown and experimental verification of negative reduced dynamics will be proposed.

arXiv:1302.2059•Physical Review A•Aug 5, 2013•5 citations

On the Weak-coupling Limit and Complete Positivity

Fabio Benatti, Roberto Floreanini B

We consider two non-interacting systems embedded in a heat bath. If theyremain dynamically independent, physical inconsistencies are avoided only ifthe single-system reduced dynamics is completely positive also beyond theweak-coupling limit.

•Feb 23, 2000•8 citations

Complete Positivity on the Subsystems Level

M. Arsenijević, J. Jeknić-Dugić, M. Dugić

arXiv:1708.07873•International Journal of Theoretical Physics•Sep 3, 2018•1 citation

Open quantum dynamics without Complete Positivity: a criticism

Fabio Benatti, Dariusz Chruściński, Saverio Pascazio

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.

quant-pharXiv:2605.18639•May 19, 2026•0 citations
Complete positivity is a ubiquitous assumption in the study of quantum systems interacting with the environment. It will be shown that Hamiltonian evolution of a quantum system and its environment can be negative (i.e., not completely positive) in the energy basis, by showing that such evolution is almost always negative for given initial conditions. As such, ignoring or ``correcting'' experimental data that is not completely positive may cause the loss of important information regarding system-environment correlations and coupling. Complete positivity assumptions are an important part of many quantum information theories and it is important to understand how (and why) it appears to be possible to violate the complete positivity requirement in the examples presented here. A relationship between the negativity of an evolution and the eigenvalues of the Hamiltonian will be shown and experimental verification of negative reduced dynamics will be proposed.
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.