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most citedQuantum geometry and quantum algorithms

18 citations · 54 across the 9 of their papers we have counts for

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Showing 2006Show all

5 papers · 1 filter

cs.CC20065 cited

Coupling of quantum angular momenta: an insight into analogic/discrete and local/global models of computation

Annalisa Marzuoli, Mario Rasetti

In the past few years there has been a tumultuous activity aimed at introducing novel conceptual schemes for quantum computing. The approach proposed in (Marzuoli A and Rasetti M 2…

quant-ph200618 cited

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…

quant-ph20062 cited

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…

quant-ph200613 cited

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…

quant-ph20069 cited

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…