68 citations · 199 across the 7 of their papers we have counts for
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Quantum geometry and quantum algorithms
S. Garnerone, A. Marzuoli, M. Rasetti
Motivated by algorithmic problems arising in quantum field theories whose dynamical variables are geometric in nature, we provide a quantum algorithm that efficiently approximates…
An efficient quantum algorithm for colored Jones polynomials
S. Garnerone, A. Marzuoli, M. Rasetti
We construct a quantum algorithm to approximate efficiently the colored Jones polynomial of the plat presentation of any oriented link L at a fixed root of unity q. Our constructio…
Quantum Knitting
S. Garnerone, A. Marzuoli, M. Rasetti
We analyze the connections between the mathematical theory of knots and quantum physics by addressing a number of algorithmic questions related to both knots and braid groups. Knot…
Quantum automata, braid group and link polynomials
Silvano Garnerone, Annalisa Marzuoli, Mario Rasetti
The spin--network quantum simulator model, which essentially encodes the (quantum deformed) SU(2) Racah--Wigner tensor algebra, is particularly suitable to address problems arising…