68 citations · 199 across the 7 of their papers we have counts for
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Scaling of the fidelity susceptibility in a disordered quantum spin chain
N. Tobias Jacobson, Silvano Garnerone, Stephan Haas +1
The phase diagram of a quantum XY spin chain with Gaussian-distributed random anisotropies and transverse fields is investigated, with focus on the fidelity susceptibility, a recen…
Fidelity approach to the disordered quantum XY model
Silvano Garnerone, N. Tobias Jacobson, Stephan Haas +1
We study the random XY spin chain in a transverse field by analyzing the susceptibility of the ground state fidelity, numerically evaluated through a standard mapping of the model…
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…