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Quantum Chaos is Quantum [PDF]
Quantum, 2021 It is well known that a quantum circuit on $N$ qubits composed of Clifford gates with the addition of $k$ non Clifford gates can be simulated on a classical computer by an algorithm scaling as $\text{poly}(N)\exp(k)$\cite{bravyi2016improved}.
Lorenzo Leone +3 more
doaj +7 more sources
Quantum Chaos and Quantum Randomness—Paradigms of Entropy Production on the Smallest Scales [PDF]
Entropy, 2019 Quantum chaos is presented as a paradigm of information processing by dynamical systems at the bottom of the range of phase-space scales. Starting with a brief review of classical chaos as entropy flow from micro- to macro-scales, I argue that quantum ...
Thomas Dittrich
doaj +4 more sources
Robustness of quantum chaos and anomalous relaxation in open quantum circuits. [PDF]
Nat Commun, 2023 Dissipation is a ubiquitous phenomenon that affects the fate of chaotic quantum many-body dynamics. Here, we show that chaos can be robust against dissipation but can also assist and anomalously enhance relaxation. We compute exactly the dissipative form
Yoshimura T, Sá L.
europepmc +3 more sources
Quantum Chaos in the Dynamics of Molecules [PDF]
Entropy, 2022 Quantum chaos is reviewed from the viewpoint of “what is molecule?”, particularly placing emphasis on their dynamics. Molecules are composed of heavy nuclei and light electrons, and thereby the very basic molecular theory due to Born and Oppenheimer ...
Kazuo Takatsuka
doaj +2 more sources
Dissipative quantum chaos unveiled by stochastic quantum trajectories [PDF]
Physical Review Research, 2023 We define quantum chaos and integrability in open quantum many-body systems as a dynamical property of single stochastic realizations, referred to as quantum trajectories.
Filippo Ferrari +5 more
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Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday [PDF]
Entropy, 2023 Quantum chaos is the study of phenomena in the quantum domain which correspond to classical chaos [...]
Marko Robnik
doaj +2 more sources
Isospectral Twirling and Quantum Chaos [PDF]
Entropy, 2021 We show that the most important measures of quantum chaos, such as frame potentials, scrambling, Loschmidt echo and out-of-time-order correlators (OTOCs), can be described by the unified framework of the isospectral twirling, namely the Haar average of a
Lorenzo Leone +2 more
doaj +2 more sources
Quantum Chaos in Quantum Wells [PDF]
Physica D: Nonlinear Phenomena, 1998 We develop a quantitative semiclassical theory for the resosnant tunneling through a quantum well in a tilted magnetic field. It is shown, that in the leading semiclassical approximation the tunneling current depends only on periodic orbits within the ...
A.Douglas Stone +32 more
core +3 more sources
Performance comparison between Chaos and quantum-chaos based image encryption techniques. [PDF]
Multimed Tools Appl, 2021 Today’s digital era has undertaken most of the responsibilities of public and private sectors, not only the industries or big organizations dependent on the internet but individual’s household needs also lying on it.
Kumari M, Gupta S.
europepmc +2 more sources
Multifractality in Quasienergy Space of Coherent States as a Signature of Quantum Chaos. [PDF]
Entropy (Basel), 2021 We present the multifractal analysis of coherent states in kicked top model by expanding them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of phase space structures in the multifractal properties of coherent states.
Wang Q, Robnik M.
europepmc +3 more sources