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20022009
most citedFluctuation-Dissipation: Response Theory in Statistical Physics

754 citations

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Showing 2006 · quant-phShow all

5 papers · 2 filters

quant-ph2006★ 152 cited

Quantum phase transitions and quantum fidelity in free fermion graphs

M. Cozzini, P. Giorda, P. Zanardi

In this paper we analyze the ground state phase diagram of a class of fermionic Hamiltonians by looking at the fidelity of ground states corresponding to slightly different Hamilto…

quant-ph2006★ 18 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-ph2006★ 13 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-ph2006★ 49 cited

Classical and quantum q-deformed physical systems

A. Lavagno, A. M. Scarfone, P. Narayana Swamy

On the basis of the non-commutative q-calculus, we investigate a q-deformation of the classical Poisson bracket in order to formulate a generalized q-deformed dynamics in the class…

quant-ph2006★ 9 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…