Complete positivity and entangled degrees of freedom

Abstract

We study how some recently proposed noncontextuality tests based on quantum interferometry are affected if the test particles propagate as open systems in presence of a gaussian stochastic background. We show that physical consistency requires the resulting markovian dissipative time-evolution to be completely positive.

23 pages, plain-TeX, no figures

References in corpus (2)

• Experiments towards Falsification of Noncontextual Hidden Variable Theories
• Irreversibility and dissipation in neutral B-meson decays

Cited by in corpus (15)

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• On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework
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• The fundamental symmetries in the neutral kaon system -- a pedagogical choice --
• On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models
• Complete positivity and thermodynamics in a driven open quantum system
• Impact of positivity and complete positivity on accessibility of Markovian dynamics
• Neutral kaons in random media
• Quantum contextuality in N-boson systems
• Comment on 'Uniqueness of the Equation for Quantum State Vector Collapse' [arXiv:1303.4284]