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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
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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
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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
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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
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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
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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
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Avoiding Quantum Chaos in Quantum Computation [PDF]
Physical Review E, 2000 We study a one-dimensional chain of nuclear $1/2-$spins in an external time-dependent magnetic field. This model is considered as a possible candidate for experimental realization of quantum computation.
A. P. Young +14 more
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Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker? [PDF]
, 2006 We discuss the questions: How to compare quantitatively classical chaos with quantum chaos? Which one is stronger?
D. Huard +25 more
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Quantum Instantons and Quantum Chaos [PDF]
Physics Letters A, 2001 Based on a closed form expression for the path integral of quantum transition amplitudes, we suggest rigorous definitions of both, quantum instantons and quantum chaos.
Blümel +29 more
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Quantum Chaos & Quantum Computers
, 2000 The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined.
Shepelyansky, D. L.
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