Quantum entanglement and projective ring geometry.
Quantum entanglement: separability, measure, fidelity of teleportation, and distillation.
Quantum ergodicity of C*-dynamical systems
Quantum Fibre Bundles. An Introduction
An approach to construction of a quantum group gauge theory based on the quantum group generalisation of fibre bundles is reviewed.
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
Quantum fields on noncommutative spacetimes: theory and phenomenology.
Quantum finite automata with control language
Bertoni et al. introduced in Lect. Notes Comput. Sci.2710 (2003) 1–20 a new model of 1-way quantum finite automaton (1qfa) called 1qfa with control language (1qfc). This model, whose recognizing power is exactly the class of regular languages, generalizes main models of 1qfa's proposed in the literature. Here, we investigate some properties of 1qfc's. In particular, we provide algorithms for constructing 1qfc's accepting the inverse homomorphic images and quotients of languages accepted...
Quantum fluctuations of elementary excitations in discrete media.
Quantum graph spectra of a graphyne structure
We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.
Quantum gravity as a broken symmetry phase of a BF theory.
Quantum homogeneous superspaces and quantum duality principle
We define the concept of quantum section of a line bundle of a homogeneous superspace and we employ it to define the concept of quantum homogeneous projective superspace. We also suggest a generalization of the QDP to the quantum supersetting.
Quantum Independent Increment Processes on Superalgebras.
Quantum integrable 1D anyonic models: construction through braided Yang-Baxter equation.
Quantum integrable model of an arrangement of hyperplanes.
Quantum integrable systems
Quantum invariants of links and 3-valent graphs in 3-manifolds
Quantum isometries and group dual subgroups
We study the discrete groups whose duals embed into a given compact quantum group, . In the matrix case the embedding condition is equivalent to having a quotient map , where is a certain family of groups associated to . We develop here a number of techniques for computing , partly inspired from Bichon’s classification of group dual subgroups . These results are motivated by Goswami’s notion of quantum isometry group, because a compact connected Riemannian manifold cannot have non-abelian...
Quantum isometry group for spectral triples with real structure.
Quantum Itô algebra and quantum martingale
In this paper, we study a representation of the quantum Itô algebra in Fock space and then by using a noncommutative Radon-Nikodym type theorem we study the density operators of output states as quantum martingales, where the output states are absolutely continuous with respect to an input (vacuum) state. Then by applying quantum martingale representation we prove that the density operators of regular, absolutely continuous output states belong to the commutant of the ⋆-algebra parameterizing the...
Quantum logics representable as kernels of measures