Results 11 to 20 of about 167,879 (268)

The Baum-Connes conjecture for free orthogonal quantum groups [PDF]

, 2011
We prove an analogue of the Baum–Connes conjecture for free orthogonal quantum groups. More precisely, we show that these quantum groups have a γ-element and that γ=1. It follows that free orthogonal quantum groups are K-amenable.
Voigt, C., Voigt, Christian, Christian Voigt   +2 more
core   +1 more source

Quantum stochastic convolution cocycles III [PDF]

, 2011
The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G., J. Martin Lindsay, Lindsay, J. Martin, Adam G. Skalski   +3 more
core   +1 more source

Quantum SU(2) and the Baum-Connes conjecture [PDF]

, 2012
We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix ...
Voigt, Christian
core   +1 more source

Measurement-based quantum computing with a spin ensemble coupled to a stripline cavity [PDF]

, 2012
Recently, a new form of quantum memory was proposed. The storage medium is an ensemble of electron spins, coupled to a stripline cavity and an ancillary readout system.
Benjamin, Simon C., Benjamin, SC, Ping, Yuting, Gauger, EM, Ping, Y., Gauger, E.M., Gauger, Erik M.; id_orcid, Ping, Y, Benjamin, Simon, Benjamin, S.C.   +9 more
core   +1 more source

Statistics and Quantum Group Symmetries [PDF]

, 1997
: Using ``twisted'' realizations of the symmetric groups, we show that Bose and Fermi statistics are compatible with transformations generated by compact quantum groups of Drinfel'd ...
FIORE, GAETANO, P. SCHUPP
core   +2 more sources

Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells : the finite-type cases [PDF]

, 2010
We exhibit quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells, as well as on , and . These cases are precisely those where the quantum cluster algebra is of finite type, and the structures we describe quantize ...
Launois, Stéphane, S. Launois, J. E. Grabowski, Grabowski, Jan   +3 more
core   +1 more source

Quantised coordinate rings of semisimple groups are unique factorisation domains [PDF]

, 2007
We show that the quantum coordinate ring of a semisimple group is a unique factorisation domain in the sense of Chatters and Jordan in the case where the deformation parameter q is a transcendental ...
Lenagan, T.H., Launois, Stephane
core   +1 more source

Introduction to the Yang-Baxter Equation with Open Problems

Axioms, 2012
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work.
Florin Nichita
doaj   +1 more source

SPACETIME OR QUANTUM PARTICLES: THE ONTOLOGY OF QUANTUM GRAVITY? [PDF]

, 1996
The domains of quantum theory and general relativity overlap in situations where quantum mechanical effects cannot be ignored. In order to deal with this overlap of theoretical domains, there has been a tendency to apply the rules of quantum field theory
Peter J. Riggs, Riggs, Peter James, Riggs, Peter J.   +2 more
core   +1 more source

Photon-Added Deformed Peremolov Coherent States and Quantum Entanglement

Axioms
In the present article, we build the excitedcoherent states associated with deformed su(1,1) algebra (DSUA), called photon-added deformed Perelomov coherent states (PA-DPCSs).
Kamal Berrada
doaj   +1 more source