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- 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)

The nature of a quantum computer is described in the concrete context of a quantum simulator of the single-particle Schrödinger equation. We show that a register of 6–10 qubits is sufficient to realize a useful quantum simulator capable of efficiently solving standard quantum mechanical problems.

- 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)

- 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)

- Davide Rossini, Giuliano Benenti, Giulio Casati
- Physical review. E, Statistical, nonlinear, and…
- 2004

We analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum motion when the system's parameters are perturbed or when there are unitary errors in the quantum gates implementing… (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)

- 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, 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)

- Gabriel G Carlo, Giuliano Benenti, Giulio Casati
- Physical review letters
- 2003

We study the fidelity of quantum teleportation for the situation in which quantum logic gates are used to provide the long distance entanglement required in the protocol, and where the effect of a noisy environment is modeled by means of a generalized amplitude damping channel. Our results demonstrate the effectiveness of the quantum trajectories approach,… (More)

We study the properties of eigenstates of an operating quantum computer which simulates the dynamical evolution in the regime of quantum chaos. Even if the quantum algorithm is polynomial in number of qubits nq, it is shown that the ideal eigenstates become mixed and strongly modified by static imperfections above a certain threshold which drops… (More)