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. 

Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States

We use open quantum system techniques to construct one-parameter semigroups of positive maps and apply them to study the entanglement properties of a class of 16-dimensional density matrices,

Tests of Complete Positivity in Fiber Optics

It is shown that the hierarchy among the decay constants of the polarization density matrix elements as prescribed by complete positivity can be experimentally probed using standard laboratory set-ups.

Complete Positivity in Dissipative Quantum Dynamics

The property of complete positivity is reviewed in connection with dissipation in elementary particle physics and neutron interferometry.

The fundamental symmetries in the neutral kaon system—a pedagogical choice

During recent years experiments with neutral kaons have yielded remarkably sensitive results which are pertinent to such fundamental phenomena as invariance (protecting causality), time-reversal

Complete Positivity and Thermodynamics in a Driven Open Quantum System

While it is well known that complete positivity guarantees the fulfilment of the second law of thermodynamics, its possible violations have never been proposed as a check of the complete positivity

Complete Positivity and Thermodynamics in a Driven Open Quantum System

While it is well known that complete positivity guarantees the fulfilment of the second law of thermodynamics, its possible violations have never been proposed as a check of the complete positivity

Quantum-Spacetime Phenomenology

I review the current status of phenomenological programs inspired by quantum-spacetime research. I stress in particular the significance of results establishing that certain data analyses provide

References

SHOWING 1-10 OF 35 REFERENCES

The proper form of the generator in the weak coupling limit

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

Completely Positive Dynamical Semigroups of N Level Systems

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.

  • Pechukas
  • Mathematics
    Physical 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

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.