Using Differential Evolution to avoid local minima in Variational Quantum Algorithms.

Variational Quantum Algorithms (VQAs) are among the most promising NISQ-era algorithms for harnessing quantum computing in diverse fields. However, the underlying optimization processes within these algorithms usually deal with local minima and barren plateau problems, preventing them from scaling efficiently. Our goal in this paper is to study alternative optimization methods that can avoid or reduce the effect of these problems. To this end, we propose to apply the Differential Evolution (DE) algorithm to VQAs optimizations. Our hypothesis is that DE is resilient to vanishing gradients and local minima for two main reasons: (1) it does not depend on gradients, and (2) its mutation and recombination schemes allow DE to continue evolving even in these cases. To demonstrate the performance of our approach, first, we use a robust local minima problem to compare state-of-the-art local optimizers (SLSQP, COBYLA, L-BFGS-B and SPSA) against DE using the Variational Quantum Eigensolver algorithm. Our results show that DE always outperforms local optimizers. In particular, in exact simulations of a 1D Ising chain with 14 qubits, DE achieves the ground state with a 100% success rate, while local optimizers only exhibit around 40%. We also show that combining DE with local optimizers increases the accuracy of the energy estimation once avoiding local minima. Finally, we demonstrate how our results can be extended to more complex problems by studying DE performance in a 1D Hubbard model.

Emergent topological fields and relativistic phonons within the thermoelectricity in topological insulators.

Topological edge states are predicted to be responsible for the high efficient thermoelectric response of topological insulators, currently the best thermoelectric materials. However, to explain their figure of merit the coexistence of topological electrons, entropy and phonons can not be considered independently. In a background that puts together electrodynamics and topology, through an expression for the topological intrinsic field, we treat relativistic phonons within the topological surface showing their ability to modulate the Berry curvature of the bands and then playing a fundamental role in the thermoelectric effect. Finally, we show how the topological insulators under such relativistic thermal excitations keep time reversal symmetry allowing the observation of high figures of merit at high temperatures. The emergence of this new intrinsic topological field and other constraints are suitable to have experimental consequences opening new possibilities of improving the efficiency of this topological effect for their based technology.

On Behind the Physics of the Thermoelectricity of Topological Insulators.

Topological Insulators are the best thermoelectric materials involving a sophisticated physics beyond their solid state and electronic structure. We show that exists a topological contribution to the thermoelectric effect that arises between topological and thermal quantum field theories applied at very low energies. This formalism provides us with a quantized topological mass proportional to the temperature T leading, through an electric potential V, to a Seebeck coefficient where we identify an anomalous contribution that can be associated to the creation of real electron-hole Schwinger's pairs close to the topological bands. Finally, we find a general expression for the dimensionless figure of merit of these topological materials, considering only the electronic contribution, getting a value of 2.73 that is applicable to the Bi2Te3, for which it was reported a value of 2.4 after reducing its phononic contribution, using only the most basic topological numbers (0 or 1).

Localized pleural mesothelioma causing cranial vena cava syndrome in a dog.

A 9-year-old female crossbred dog was presented to the Hospital Universitario Veterinario Rof Codina (Universidad de Santiago de Compostela, Lugo, Spain) for acute onset of severe, progressive swelling of the head, neck, and cranial trunk. Survey radiographs and ultrasonography revealed a large, heterogeneous mass in the cranial mediastinum, compressing or growing into a large blood vessel within the cranial mediastinum and displacing the heart dorsocaudally. At postmortem examination, the mass was diagnosed as a large, localized mesothelioma. Localized mesotheliomas are rare neoplasms in dogs but should be considered as a possible differential diagnosis for cranial vena cava syndrome. The anatomic distribution and clinical features of mesothelioma in the present report are similar to other cases in humans.

Xanthine nephrolithiasis in a galician blond beef calf.

A six-month-old female Galician Blond beef calf presented signs of apathy, anorexia and weight loss. The analysis of a blood sample confirmed renal failure. Bilateral nephrolithiasis was diagnosed at necropsy. Quantitative analysis revealed the nephroliths to be composed of 100 per cent xanthine. In cattle, xanthinuria has only been described in the Japanese Black breed, but never before in other breeds. Clinical history suggested a naturally occurring xanthinuria.