Spin network quantum simulator

Abstract

We propose a general setting for a universal representation of the quantum structure on which quantum information stands, whose dynamical evolution (information manipulation) is based on angular momentum recoupling theory. Such scheme complies with the notion of 'quantum simulator' in the sense of Feynmann, and is shown to be related with the topological quantum field theory approach to quantum computation.

revtex, 6 pages + 5 figures

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• Quantum and semiclassical spin networks: from atomic and molecular physics to quantum computing and gravity
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• Entanglement in Valence-Bond-Solid States
• Quantum geometry and quantum algorithms
• Stabilizer entropy of quantum tetrahedra
• The Fibonacci Model and the Temperley-Lieb Algebra
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• $q$ - Deformed Spin Networks, Knot Polynomials and Anyonic Topological Quantum Computation
• Symplectic and Semiclassical Aspects of the Schläfli Identity
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• Coupling of quantum angular momenta: an insight into analogic/discrete and local/global models of computation
• Spin networks, quantum automata and link invariants
• Projective Ponzano-Regge spin networks and their symmetries
• Spin Networks, Wilson Loops and 3nj Wigner Identities
• Hamiltonian Engineering in Quantum Spin Networks
• Open Universe Modeling: Information Layer and Time Dilation