J. Batle | Universitat de les Illes Balears (original) (raw)

Papers by J. Batle

Physica A: Statistical Mechanics and its Applications, 2016

Physica C: Superconductivity, 2001

A new boson–fermion statistical model with two-hole (h) as well as two-electron (e) Cooper pairs ... more A new boson–fermion statistical model with two-hole (h) as well as two-electron (e) Cooper pairs (CP) exhibiting Bose–Einstein condensation (BEC)—which simultaneously reduces to BCS theory in weak coupling for perfect eh symmetry and to BEC when no hole CPs are present—yields reasonable transition temperatures for exotic superconductors, whether quasi-2D cuprate or 3D ones, for moderate departures from perfect eh symmetry.

International Journal of Modern Physics B, 2016

AIP Conference Proceedings, 2002

The inference of entangled states on the basis of incomplete prior information is usually affecte... more The inference of entangled states on the basis of incomplete prior information is usually affected by the problem of fake inferred entanglement. We show that different inferences schemes overestimate the amount of entanglement. However, the Maximum-Entropy Minimum-Norm method yields all the accessible states compatible with the prior information of the system. For bipartite systems the entanglement boundaries are explicitly determined

Quantum Information Processing, 2016

Quantum Information Processing, 2015

We consider the change of entanglement of formation DeltaE\Delta EDeltaE produced by the Hadamard-CNOT circ... more We consider the change of entanglement of formation DeltaE\Delta EDeltaE produced by the Hadamard-CNOT circuit on a general (pure or mixed) state rho\rhorho describing a system of two qubits. We study numerically the probabilities of obtaining different values of DeltaE\Delta EDeltaE, assuming that the initial state is randomly distributed in the space of all states according to the product measure recently introduced by Zyczkowski {\it et al.} [Phys. Rev. A {\bf 58} (1998) 883]. Comment: 12 pages, 2 figures

We investigate quantum states that posses both maximum entanglement and maximum discord between t... more We investigate quantum states that posses both maximum entanglement and maximum discord between the pertinent parties. Since entanglement (discord) is defined only for bipartite (two qubit) systems, we shall introduce an appropriate sum over of all bi-partitions as the associated measure. The ensuing definition --not new for entanglement-- is thus extended here to quantum discord. Also, additional dimensions within the parties are considered ({\it qudits}). We also discuss nonlocality (in the form of maximum violation of a Bell inequality) for all multiqubit systems. The emergence of more nonlocal states than local ones, all of them possessing maximum entanglement, will be linked, surprisingly enough, to whether quantum mechanics is defined over the fields of real or complex numbers.

We discuss some properties of the quantum discord based on the geometric distance advanced by Dak... more We discuss some properties of the quantum discord based on the geometric distance advanced by Dakic, Vedral, and Brukner [Phys. Rev. Lett. {\bf 105}, 190502 (2010)], with emphasis on Werner- and MEM-states. We ascertain just how good the measure is in representing quantum discord. We explore the dependence of quantum discord on the degree of mixedness of the bipartite states,

Physica A: Statistical Mechanics and its Applications, 2003

We consider the change of entanglement of formation ΔE produced by the Hadamard-CNOT circuit on a... more We consider the change of entanglement of formation ΔE produced by the Hadamard-CNOT circuit on a general (pure or mixed) state ρ describing a system of two qubits. We study numerically the probabilities of obtaining different values of ΔE, assuming that the initial state is randomly distributed in the space of all states according to the product measure introduced by

International Journal of Modern Physics B, 2003

ABSTRACT A recent unification of the BCS theory with that of the Bose Einstein condensation (BEC)... more ABSTRACT A recent unification of the BCS theory with that of the Bose Einstein condensation (BEC) through a "complete" boson-fermion model is discussed as a generalization of the "BCS-Bose crossover" picture of superconductivity. Good first-principles Tc predictions in 2D are calculated with no adjustable parameters for the so-called "exotic" cuprate superconductors of the "Uemura plot", without abandoning the phonon interaction mechanism. The only condition is that one depart moderately from the perfect electron-/hole-Cooper-pair symmetry to which BCS (as well as the "crossover") theory are restricted by construction.