275 research outputs found
Stability results for Mountain Pass and Linking type solutions of semilinear problems involving Dirichlet forms
No full textSome stability results for Mountain Pass and Linking type solutions of semilinear problems involving a very general class of Dirichlet forms are stated. The non linear terms are supposed to have a suitable superlinear growth and the family of Dirichlet forms is required to be dominated from below and from above by a fixed diffusion type form. Some concrete examples are also given
Experiments of Quantum Nonlocality with Polarization-Momentum Entangled Photon Pairs
No full textAbstract We present the results of some experimental tests of quantum nonlocality performed by two-photon states, entangled both in polarization and momentum, namely hyperentangled states and two-photon four-qubit linear cluster states. These states, which double the number of available qubits with respect to the standard two-photon entangled states, are engineered by a simple experimental method, which adopts linear optics and a single type I nonlinear crystal. The tests of local realism performed with these states represent a generalization of the Greenberger, Home, and Zeilinger (GHZ) theorem to the case of two entangled particles
Extremal quantum correlations: Experimental study with two-qubit states
No full textWe explore experimentally the space of two-qubit quantum-correlated mixed states, including frontier states as defined by the use of quantum discord and von Neumann entropy. Our experimental setup is flexible enough to allow for high-quality generation of a vast variety of states. We address quantitatively the relation between quantum discord and a recently suggested alternative measure of quantum correlations
Semilinear integrodifferential problems with non-symmetric kernels via mountain-pass techniques
No full textIntegrodifferential equations with non-symmetric kernels are considered. The existence of a non-negative solution is stated through an iterative scheme and a mountain-pass technique
Mountain pass techniques for some classes of nonvariational problems
No full textExistence results are presented for classical solutions to some nonvariational problems through a suitable approximation method of Mountain Pass critical points
Synthesis of Secondary Amines by Reduction of alpha-Amidoalkylphenyl Sulfones with Sodium Acetoxyborohydride
No full textExperimental signature of quantum Darwinism in photonic cluster states
No full textWe report on an experimental assessment of the emergence of Quantum Darwinism (QD) from engineered open-system dynamics. We use a photonic hyperentangled source of graph states to address the effects that correlations among the elements of a multiparty environment have on the establishment of objective reality ensuing the quantum-to-classical transition. Besides embodying one of the first experimental efforts toward the characterization of QD, our work illustrates the nontrivial consequences that multipartite entanglement and, in turn, the possibility of having environment-to-system back-action have on the features of the QD framework
Experimental Quantum Darwinism simulator using photonic cluster states
No full textWe investigate the emergence of Quantum Darwinism in a photonic cluster as simulator of interactions between a quantum system and its environment. We demonstrate experimentally the effect of correlations in the emergence of objective reality
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