Spin networks, quantum automata and link invariants

Details Spin networks, quantum automata and link invariants Spin networks, quantum automata and link invariants

2005-11-30

arxiv.org/abs/gr-qc/0511161v1

J.Phys.Conf.Ser. 33 (2006) 95-106

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LateX,19 pages; to appear in the Proc. of "Constrained Dynamics and Quantum Gravity (QG05), Cala Gonone (Italy) September 12-1

Scientific paper

The spin network simulator model represents a bridge between (generalized) circuit schemes for standard quantum computation and approaches based on notions from Topological Quantum Field Theories (TQFT). More precisely, when working with purely discrete unitary gates, the simulator is naturally modelled as families of quantum automata which in turn represent discrete versions of topological quantum computation models. Such a quantum combinatorial scheme, which essentially encodes SU(2) Racah--Wigner algebra and its braided counterpart, is particularly suitable to address problems in topology and group theory and we discuss here a finite states--quantum automaton able to accept the language of braid group in view of applications to the problem of estimating link polynomials in Chern--Simons field theory.

Affiliated with

Also associated with

No associations

Rating

Spin networks, quantum automata and link invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spin networks, quantum automata and link invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin networks, quantum automata and link invariants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429662