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Isospectral Twirling and Quantum Chaos [PDF]
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 +11 more sources
Quantum Chaos in the Dynamics of Molecules [PDF]
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 +3 more sources
Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday [PDF]
Quantum chaos is the study of phenomena in the quantum domain which correspond to classical chaos [...]
Marko Robnik
doaj +4 more sources
Quantum Chaos and Quantum Randomness—Paradigms of Entropy Production on the Smallest Scales [PDF]
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
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Quantum Chaos is Quantum [PDF]
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 +6 more sources
Quantum Chaos and Level Dynamics. [PDF]
We review the application of level dynamics to spectra of quantally chaotic systems. We show that the statistical mechanics approach gives us predictions about level statistics intermediate between integrable and chaotic dynamics. Then we discuss in detail different statistical measures involving level dynamics, such as level avoided-crossing ...
Zakrzewski J.
europepmc +6 more sources
Simulating quantum chaos on a quantum computer. [PDF]
We show that currently available noisy intermediate-scale quantum (NISQ) computers can be used for versatile quantum simulations of chaotic systems. We introduce a novel classical-quantum hybrid approachfor exploring the dynamics of the chaotic quantum kicked top (QKT) on a universal quantum computer.
Anand A +3 more
europepmc +5 more sources
Quantum biology on the edge of quantum chaos. [PDF]
We give a new explanation for why some biological systems can stay quantum coherent for long times at room temperatures, one of the fundamental puzzles of quantum biology. We show that systems with the right level of complexity between chaos and regularity can increase their coherence time by orders of magnitude.
Vattay G, Kauffman S, Niiranen S.
europepmc +8 more sources
About the Concept of Quantum Chaos [PDF]
The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced.
Ignacio S. Gomez +2 more
doaj +5 more sources

