The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
F. Bonechi, M. Tarlini, N. Ciccoli (2003)
Banach Center Publications
Similarity:
We describe how the constructions of quantum homogeneous spaces using infinitesimal invariance and quantum coisotropic subgroups are related. As an example we recover the quantum 4-sphere of [2] through infinitesimal invariance with respect to .
Diego de Falco, Dario Tamascelli (2011)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Similarity:
Quantum annealing, or quantum stochastic optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an example of proficuous cross contamination between classical and quantum computer science. In this survey paper we illustrate how hard combinatorial problems are tackled by quantum computation and present some examples of the heuristics provided by quantum...
Hrubý, Jaroslav
Similarity:
The opportunity for verifying the basic principles of quantum theory and possible -deformation appears in quantum cryptography (QC) – a new discipline of physics and information theory.The author, member of the group of cryptology of Praha, presents in this paper the possibility to verify the -deformation of Heisenberg uncertainty relation -deformed QM and possible discretization on the base of a model presented in the fourth section.In the seven sections, the author discusses these...
Franco Fagnola, Veronica Umanità (2011)
Banach Center Publications
Similarity:
We classify generators of quantum Markov semigroups on (h), with h finite-dimensional and with a faithful normal invariant state ρ satisfying the standard quantum detailed balance condition with an anti-unitary time reversal θ commuting with ρ, namely for all x,y ∈ and t ≥ 0. Our results also show that it is possible to find a standard form for the operators in the Lindblad representation of the generators extending the standard form of generators of quantum Markov semigroups satisfying...
Katz, Matthew Lubelski, Wang, Jingbo (2010)
Advances in Mathematical Physics
Similarity:
Diego de Falco, Dario Tamascelli (2011)
RAIRO - Theoretical Informatics and Applications
Similarity:
Quantum annealing, or quantum stochastic optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an example of proficuous cross contamination between classical and quantum computer science. In this survey paper we illustrate how hard combinatorial problems are tackled by quantum computation and present some examples of the heuristics provided by quantum...
Jinn-Liang Liu (2015)
Molecular Based Mathematical Biology
Similarity:
A quantum corrected Poisson-Nernst-Planck (QCPNP) model is proposed for simulating ionic currents through biological ion channels by taking into account both classical and quantum mechanical effects. A generalized Gummel algorithm is also presented for solving the model system. Compared with the experimental results of X-ray crystallography, it is shown that the quantum PNP model is more accurate than the classical model in predicting the average number of ions in the channel pore. Moreover,...
Piotr Mikołaj Sołtan (2010)
Banach Center Publications
Similarity:
We give a survey of techniques from quantum group theory which can be used to show that some quantum spaces (objects of the category dual to the category of C*-algebras) do not admit any quantum group structure. We also provide a number of examples which include some very well known quantum spaces. Our tools include several purely quantum group theoretical results as well as study of existence of characters and traces on C*-algebras describing the considered quantum spaces as well as...
Bishop, R.C., Bohm, A., Gadella, M. (2004)
Discrete Dynamics in Nature and Society
Similarity:
Atmanspacher, Harald (2004)
Discrete Dynamics in Nature and Society
Similarity:
Francis Filbet, Jingwei Hu, Shi Jin (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann equation. To define the quantum...