# 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

### Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States

- Mathematics, PhysicsOpen Syst. Inf. Dyn.
- 2004

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

- PhysicsOpen Syst. Inf. Dyn.
- 2006

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

- Physics
- 2002

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

- Physics
- 2006

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

- Physics
- 2015

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

- PhysicsJournal of Statistical Physics
- 2015

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

- PhysicsLiving reviews in relativity
- 2013

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

- 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.