Complete positivity and entangled degrees of freedom
@article{Benatti2002CompletePA, title={Complete positivity and entangled degrees of freedom}, author={Fabio Benatti and Roberto Floreanini and Raffaele Romano}, journal={Journal of Physics A}, year={2002}, volume={35}, pages={4955-4972} }
We study how some recently proposed noncontextuality tests based on quantum interferometry are affected if the test particles propagate as open systems in the presence of a Gaussian stochastic background. We show that physical consistency requires the resulting Markovian dissipative time evolution to be completely positive.
22 Citations
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Quantum-Spacetime Phenomenology
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References
SHOWING 1-10 OF 35 REFERENCES
The proper form of the generator in the weak coupling limit
- Mathematics
- 1979
In the literature one finds several different Markov approximations for a quantum system weakly coupled to a thermal reservoir. We want to point out that, in general, only the rigorous approximation…
Bell's inequality for a single spin-1/2 particle and quantum contextuality
- Philosophy, Physics
- 2001
Completely Positive Dynamical Semigroups of N Level Systems
- Mathematics
- 1976
We establish the general form of the generator of a completely positive dynamical semigroup of an N‐level quantum system, and we apply the result to derive explicit inequalities among the physical…
Reduced dynamics need not be completely positive.
- MathematicsPhysical review letters
- 1994
It is shown that with correlated initial conditions the dynamics of a quantum system in contact with a reservoir need not be completely positive, and can properly be defined only on a subset of initial system states.
Experiments towards falsification of noncontextual hidden variable theories
- PhysicsPhysical review letters
- 2000
The first experiment, based on observation of two-photon pseudo-Greenberger-Horne-Zeilinger correlations, utilizes the same trick to emulate two particle correlations, and is an "event ready" test of a Bell-like inequality, derived from the noncontextuality assumption.