1.1k citations · 6.2k across the 116 of their papers we have counts for
31 papers · 1 filter
Quantum computation of complex systems
Giuliano Benenti, Giulio Casati
This chapter is a short pedagogical introduction to the use of quantum logic for the simulation of complex quantum systems, including a simulation example on actual quantum hardwar…
Quantum Chaos and the Correspondence Principle
Jiaozi Wang, Giuliano Benenti, Giulio Casati +1
The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time expon…
Complexity of quantum motion and quantum-classical correspondence: A phase-space approach
Jiaozi Wang, Giuliano Benenti, Giulio Casati +1
We discuss the connection between the out-of-time-ordered correlator and the number of harmonics of the phase-space Wigner distribution function. In particular, we show that both q…
Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges
Werner Weiss, Giuliano Benenti, Giulio Casati +4
We explore the challenges posed by the violation of Bell-like inequalities by -dimensional systems exposed to imperfect state-preparation and measurement settings. We address, i…
Classical dynamical localization
Italo Guarneri, Giulio Casati, Volker Karle
We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynam…
Translationally invariant conservation laws of local Lindblad equations
Marko Znidaric, Giuliano Benenti, Giulio Casati
We study the conditions under which one can conserve local translationally invariant operators by local translationally invariant Lindblad equations in one-dimensional rings of spi…
Complexity and instability of quantum motion near a quantum phase transition
Pinquan Qin, Wen-ge Wang, Giuliano Benenti +1
We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can be also used to characterize quantum phase transitions. The n…
Scaling behavior for a class of quantum phase transitions
Wen-ge Wang, Pinquan Qin, Qian Wang +2
We show that for quantum phase transitions with a single bosonic zero mode at the critical point, like the Dicke model and the Lipkin-Meshkov-Glick model, metric quantities such as…
Classical Dynamics of Quantum Entanglement
Giulio Casati, Italo Guarneri, Jose Reslen
We numerically analyze the dynamical generation of quantum entanglement in a system of 2 interacting particles, started in a coherent separable state, for decreasing values of $\hb…
Phase-space characterization of complexity in quantum many-body dynamics
Vinitha Balachandran, Giuliano Benenti, Giulio Casati +1
We propose a phase-space Wigner harmonics entropy measure for many-body quantum dynamical complexity. This measure, which reduces to the well known measure of complexity in classic…
Thermalization and ergodicity in many-body open quantum systems
Marko Znidaric, Tomaz Prosen, Giuliano Benenti +2
We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation t…
How complex is the quantum motion?
Giuliano Benenti, Giulio Casati
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 t…
Entanglement-induced Decoherence and Energy Eigenstates
Wen-ge Wang, Jiangbin Gong, G. Casati +1
Using recent results in the field of quantum chaos we derive explicit expressions for the time scale of decoherence induced by the system-environment entanglement. For a generic sy…
Detecting entanglement of random states with an entanglement witness
Marko Znidaric, Tomaz Prosen, Giuliano Benenti +1
The entanglement content of high-dimensional random pure states is almost maximal, nevertheless, we show that, due to the complexity of such states, the detection of their entangle…
Dynamical chaos versus quantum interference
Valentin V. Sokolov, Giuliano Benenti, Giulio Casati
We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end a new extension of fidelity for mixed states is in…
Stability of quantum motion in regular systems: a uniform semiclassical approach
Wen-ge Wang, G. Casati, Baowen Li
We study the stability of quantum motion of classically regular systems in presence of small perturbations. Onthe base of a uniform semiclassical theory we derive the fidelity deca…
Conservative chaotic map as a model of quantum many-body environment
Davide Rossini, Giuliano Benenti, Giulio Casati
We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator…
Quantum dephasing and decay of classical correlation functions in chaotic systems
Valentin V. Sokolov, Giuliano Benenti, Giulio Casati
We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end we consider a suitable extension of fidelity for m…
Entanglement Across a Transition to Quantum Chaos
Carlos Mejia-Monasterio, Giuliano Benenti, Gabriel G. Carlo +1
We study the relation between entanglement and quantum chaos in one- and two-dimensional spin-1/2 lattice models, which exhibit mixing of the noninteracting eigenfunctions and tran…
Classical versus quantum errors in quantum computation of dynamical systems
Davide Rossini, Giuliano Benenti, Giulio Casati
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…
Simulating noisy quantum protocols with quantum trajectories
Gabriel G. Carlo, Giuliano Benenti, Giulio Casati +1
The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that…
Quantum computing and information extraction for a dynamical quantum system
Giuliano Benenti, Giulio Casati, Simone Montangero
We discuss the simulation of a complex dynamical system, the so-called quantum sawtooth map model, on a quantum computer. We show that a quantum computer can be used to efficiently…
Entanglement Echoes in Quantum Computation
Davide Rossini, Giuliano Benenti, Giulio Casati
We study the stability of entanglement in a quantum computer implementing an efficient quantum algorithm, which simulates a quantum chaotic dynamics. For this purpose, we perform a…
Stability of Quantum Motion: Beyond Fermi-golden-rule and Lyapunov decay
Wen-ge Wang, G. Casati, Baowen Li
We study, analytically and numerically, the stability of quantum motion for a classically chaotic system. We show the existence of different regimes of fidelity decay which deviate…