We review the q-deformed spin network approach to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. Our methods are rooted in the bracket state sum…
Papers in Algebra
Algebra papers in Mathematics, Q
-
-
We examine a theory of competitive innovation in which new ideas are introduced only when diminishing returns to the use of existing ideas sets in. After an idea is introduced, the knowledge capital associated with that idea expands, and its value…
-
A quantal system in an eigenstate, slowly transported round a circuit C by varying parameters mathbfR in its Hamiltonian hatH(mathrmR), will acquire a geometrical phase factor exp iγ(mathrmC) in addition to the familiar dynamical phase factor. An…
-
Background: Teamwork is a fundamental aspect of many human activities, from business to art and from sports to science. Recent research suggest that team work is of crucial importance to cutting-edge scientific research, but little is known about…
-
We survey the recent sequence of algorithms for evaluating Boolean formulas consisting of NAND gates.
-
Communication over a noisy quantum channel introduces errors in the transmission that must be corrected. A fundamental bound on quantum error correction is the quantum capacity, which quantifies the amount of quantum data that can be protected. We…
-
This research describes a three dimensional quantum cellular automaton (QCA) which can simulate all other 3D QCA. This intrinsically universal QCA belongs to the simplest subclass of QCA: Partitioned QCA (PQCA). PQCA are QCA of a particular form,…
-
These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum…
-
The maximum principle for holomirphic functions in the quantum ball is formulated. A proof can be found in 8 (see the bibliography).
-
Using Polyakov's functional integral approach with the Liouville action functional defined in citeZT2 and citeLTT, we formulate quantum Liouville theory on a compact Riemann surface X of genus g > 1. For the partition function and for the…
-
This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The resulting structures turn out to (1) encompass many examples of…
-
This paper outlines an approach to the non-abelian theta functions of the SU(2)-Chern-Simons theory with the methods used by A. Weil for studying classical theta functions. First we translate in knot theoretic language classical theta functions, the…
-
In this paper a programming language, qGCL,is presented for the expression of quantum algorithms. It contains the features re- quired to program a universal quantum computer (including initiali- sation and observation), has a formal semantics and…
-
We introduce a quantum mechanical model of time travel which includes two figurative beam splitters in order to induce feedback to earlier times. This leads to a unique solution to the paradox where one could kill one's grandfather in that once the…
-
We study the discrete-time quantum walk-based search for a marked vertex on a graph. By considering various structures in which not all vertices are equivalent, we investigate the relationship between the successful search probability and the…
-
We devise and implement quasi-Monte Carlo methods for computing the expectations of nonlinear functionals of solutions of a class of elliptic partial differential equations with random coefficients. Our motivation comes from fluid flow in random…
-
We consider the derived categories of modules over a certain family Am of graded rings, and Floer cohomology of Lagrangian intersections in the symplectic manifolds which are the Milnor fibres of simple singularities of type Am. We show that each of…
Papers in associated sub-disciplines
Sign up today - FREE
Mendeley saves you time finding and organizing research. Learn more
- All your research in one place
- Add and import papers easily
- Access it anywhere, anytime