Results 1 to 10 of about 1,616,102 (195)
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
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 +7 more sources
Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal-Entanglement Structure [PDF]
PRX Quantum, 2022 Chaotic systems are highly sensitive to a small perturbation and are ubiquitous throughout the biological sciences, the physical sciences, and even the social sciences.
Neil Dowling, Kavan Modi
doaj +3 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
doaj +2 more sources
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
An Image Encryption Scheme Based on Logistic Quantum Chaos. [PDF]
Entropy (Basel), 2022 This paper proposes an image encryption scheme based on logistic quantum chaos. Firstly, we use compressive sensing algorithms to compress plaintext images and quantum logistic and Hadamard matrix to generate the measurement matrix.
Wang Y, Chen L, Yu K, Gao Y, Ma Y.
europepmc +2 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 +2 more sources
Quantum Chaos and Level Dynamics. [PDF]
Entropy (Basel), 2023 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 +5 more sources