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- Giuliano Benenti, Giulio Casati, Gregor Veble
- Physical review. E, Statistical, nonlinear, and…
- 2003

We study in detail the time behavior of classical fidelity for chaotic systems. We show, in particular, that the asymptotic decay, depending on system dynamical properties, can be either exponential, with a rate determined by the gap in the discretized Perron-Frobenius operator, or algebraic, with the same power as for correlation functions decay. Therefore… (More)

In recent years quantum information has become one of the most exciting fields in physics, with the potential to revolutionize many areas of science and technology. Quantum information replaces the laws of classical physics, applied to computation and communication, with the more fundamental laws of quantum mechanics. The latter is becoming increasingly… (More)

- Giuliano Benenti, Giulio Casati
- Physical review. E, Statistical, nonlinear, and…
- 2002

We discuss the behavior of fidelity for a classically chaotic quantum system. We show the existence of a critical value of the perturbation above which the quantum decay, exponential or power law, follows the classical one. The independence of the decay rate of the perturbation strength, discussed in the literature, is a consequence of the quantum-classical… (More)

- Giuliano Benenti, Giulio Casati, Gregor Veble
- Physical review. E, Statistical, nonlinear, and…
- 2003

We study both analytically and numerically the decay of fidelity of classical motion for integrable systems. We find that the decay can exhibit two qualitatively different behaviors, namely, an algebraic decay that is due to the perturbation of the shape of the tori or a ballistic decay that is associated with perturbing the frequencies of the tori. The… (More)

- Shunda Chen, Jiao Wang, Giulio Casati, Giuliano Benenti
- Physical review. E, Statistical, nonlinear, and…
- 2014

We study in momentum-conserving systems, how nonintegrable dynamics may affect thermal transport properties. As illustrating examples, two one-dimensional (1D) diatomic chains, representing 1D fluids and lattices, respectively, are numerically investigated. In both models, the two species of atoms are assigned two different masses and are arranged… (More)

- Adeline Orieux, Antonio D'Arrigo, +6 authors Paolo Mataloni
- Scientific reports
- 2015

In many applications entanglement must be distributed through noisy communication channels that unavoidably degrade it. Entanglement cannot be generated by local operations and classical communication (LOCC), implying that once it has been distributed it is not possible to recreate it by LOCC. Recovery of entanglement by purely local control is however not… (More)

- Giuliano Benenti, Keiji Saito, Giulio Casati
- Physical review letters
- 2011

We show that for systems with broken time-reversal symmetry the maximum efficiency and the efficiency at maximum power are both determined by two parameters: a "figure of merit" and an asymmetry parameter. In contrast to the time-symmetric case, the figure of merit is bounded from above; nevertheless the Carnot efficiency can be reached at lower and lower… (More)

- G Benenti, G Casati, S Montangero, D L Shepelyansky
- Physical review letters
- 2001

We propose a quantum algorithm which uses the number of qubits in an optimal way and efficiently simulates a physical model with rich and complex dynamics described by the quantum sawtooth map. The numerical study of the effect of static imperfections in the quantum computer hardware shows that the main elements of the phase space structures are accurately… (More)

- Giuliano Benenti, Antonio D'Arrigo, Giuseppe Falci
- Physical review letters
- 2009

We consider the transfer of quantum information down a single-mode quantum transmission line. Such a quantum channel is modeled as a damped harmonic oscillator, the interaction between the information carriers -a train of N qubits- and the oscillator being of the Jaynes-Cummings kind. Memory effects appear if the state of the oscillator is not reset after… (More)

- Giuliano Benenti, Giulio Casati
- Physical review. E, Statistical, nonlinear, and…
- 2009

In classical mechanics the complexity of a dynamical system is characterized by the rate of local exponential instability which effaces the memory of initial conditions and leads to practical irreversibility. In striking contrast, quantum mechanics appears to exhibit strong memory of the initial state. Here we introduce a notion of complexity for a quantum… (More)