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Abstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isome...

An exactly solvable quantum many-fermion system with an arbitrarily strong two-body interaction is studied and some exact thermodynamic functions (in the thermodynamic limit) are derived within the framework of the stati...

Este libro ofrece las herramientas fundamentales para comprender los conceptos de la computación cuántica de altas dimensiones. Comienza con una introducción a la computación cuántica en la que se explican fenómeno...

We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. Th...

The so-called driven Liouville–von Neumann equation is a dynamical formulation to simulate a voltage bias across a molecular system and to model a time-dependent current in a grand-canonical framework. This approach in...

We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GKdim for short, through the study of Nichols algebras over abelian groups. We deal first with braided vector spaces over Z wit...

We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra B(V) of a Yetter-Drinfeld module V on which a Lie algebra g acts by biderivations. As a special case, we find unrolle...

We study a topological phase transition in spacetime through which the early universe evolved, growing exponentially due to quantum fluctuations of gravity, described as a geometric quantum field with a noncommutative, n...

Abstract We introduce quantum Kolmogorov-Arnold networks (QKAN), a quantum algorithmic framework inspired by the recently proposed Kolmogorov-Arnold Networks (KAN). QKAN inherits the compositional structure of KAN and is...

Determining the quantum-classical boundary between quantum circuits that can be efficiently simulated classically and those that cannot remains a fundamental question. One approach to classical simulation is to represent...

The condition for invariance under a translation of the coordinate system of the Verdet tensor and the Verdet constant, calculated via quantum chemical methods using gaugeless basis sets, is expressed by a vanishing sum ...

Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspe...

Subjects / keywords: functional analysis, quantum algebra, nuclear physics, thermodynamic, algorithms, geometry; Science: Physics: Heat: Thermodynamics; Science: Mathematics: Analysis

In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the ...

Subjects / keywords: Semigroup; Quantum; Mathematics; Generator (circuit theory); Pure mathematics; Bounded function; Class (philosophy); Quantum operation; Dynamical systems theory; Algebra over a field; Discrete mathematics; Quantum dynami...

Contracted Gaussian basis sets for molecular calculations are derived from uncontracted (12,8) and (12,9) sets for the neutral second row atoms, Z=11–18, and for the negative ions P−, S−, and Cl−. Calculations on...

We present an efficient scheme for calculating the Kohn-Sham ground state of metallic systems using pseudopotentials and a plane-wave basis set. In the first part the application of Pulay's DIIS method (direct inversion ...

Various contracted Gaussian basis sets for atoms up to Kr are presented which have been determined by optimizing atomic self-consistent field ground state energies with respect to all basis set parameters, i.e., orbital ...

A scheme within density functional theory is proposed that provides a practical way to generalize to unrestricted geometries the method applied with some success to layered geometries [Phys. Rev. Lett. 91, 126402 (2003)]...

Subjects / keywords: mathematical cryptology, information security, theory of cryptology, quantum cryptology, algebraic geometry, coding theory; Science: Mathematics

Based on previous results on the classification of finite-dimensional Nichols algebras over dihedral groups and the characterization of simple modules of Drinfeld doubles, we compute the irreducible characters of the Dri...