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- J. Batle, Angel Plastino
- 2002

We revisit the relationship between quantum separability and the sign of the relative q-entropies of composite quantum systems. The q-entropies depend on the density matrix eigenvalues pi through the quantity ωq = ∑ i p q i . Rényi’s and Tsallis’ measures constitute particular instances of these entropies. We perform a systematic numerical survey of the… (More)

We revisit the application of different separability criteria by recourse to an exhaustive Monte Carlo exploration involving the pertinent state-space of pure and mixed states. The corresponding chain of implications of different criteria is in such a way numerically elucidated. We also quantify, for a bipartite system of arbitrary dimension, the proportion… (More)

- J. Batle, Montserrat Casas
- 2010

Nonlocality and quantum entanglement constitute two special features of quantum systems of paramount importance in quantum-information theory (QIT). Essentially regarded as identical or equivalent for many years, they constitute different concepts. Describing nonlocality by means of the maximal violation of two Bell inequalities, we study both entanglement… (More)

- J. Batle, Angel Plastino
- 2006

It has been recently pointed out by Caves, Fuchs, and Rungta [1] that real quantum mechanics (that is, quantum mechanics defined over real vector spaces [2–5]) provides an interesting foil theory whose study may shed some light on just which particular aspects of quantum entanglement are unique to standard quantum theory, and which ones are more generic… (More)

Following the recent work of Caves, Fuchs, and Rungta [Found. of Phys. Lett. 14 (2001) 199], we discuss some entanglement properties of two-rebits systems. We pay particular attention to the relationship between entanglement and purity. In particular, we determine (i) the probability densities for finding pure and mixed states with a given amount of… (More)

Quantum gates, that play a fundamental role in quantum computation and other quantum information processes, are unitary evolution operators Û that act on a composite system changing its entanglement. In the present contribution we study some aspects of these entanglement changes. By recourse of a Monte Carlo procedure, we compute the so called “entangling… (More)

- J. Batle, C. H. Raymond Ooi, Ahmed Farouk, S. Abdalla
- Quantum Information Processing
- 2016

- M. Abutalib, J. Batle, C. H. Raymond Ooi
- Chaos
- 2016

The total electrostatic energy of systems of identical particles of equal charge is studied in configurations bounded in space, but divergent in the number of charges. This approach shall guide us to unveil a non-linear, functional form specifying the divergent nature of system energy. We consider fractals to be physical entities, with charges located in… (More)

- J. Batle, C. H. Raymond Ooi, M. Abutalib, Ahmed Farouk, S. Abdalla
- Quantum Information Processing
- 2016

- J. Batle, Mahmoud Abdel-Aty, C. H. Raymond Ooi, S. Abdalla, Y. Al-Hadeethi
- Quantum Information Processing
- 2015