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We present an efficient quantum algorithm to measure the average fidelity decay of a quantum map under perturbation using a single bit of quantum information. Our algorithm scales only as the complexity of the map under investigation, so…

Quantum Physics · Physics 2009-11-10 David Poulin , Robin Blume-Kohout , Raymond Laflamme , Harold Ollivier

Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local…

Statistical Mechanics · Physics 2017-08-23 Ivan Kukuljan , Sašo Grozdanov , Tomaž Prosen

This paper investigates the use of dynamical chaotic systems to encrypt and exchange images between different devices. Two devices were used to simulate the Cubic Map, having the same set of initial conditions, to generate an encryption…

Cryptography and Security · Computer Science 2019-10-15 T. A. Santos , E. P. Magalhaes , D. R. Fiorio , E. G. Nepomuceno

We investigate the effect of stochastic control errors on the Hamiltonian that controls a closed quantum system. Quantum information technologies require careful control for preparing a desired state used as an information resource.…

Quantum Physics · Physics 2023-09-04 Kohei Kobayashi

We study the role of randomness in the scrambling of quantum information within integrable free-fermionic systems. Considering quadratic Hamiltonians with varying degrees of randomness, we analyze entanglement-based measures to characterize…

Quantum Physics · Physics 2025-11-11 Ali Mollabashi , Mohammad-Javad Vasli

We study the standard generic quantum computer model, which describes a realistic isolated quantum computer with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. It is shown that in the limit where…

Quantum Physics · Physics 2009-11-06 B. Georgeot , D. L. Shepelyansky

The method of restricted path integrals allows one to effectively consider continuous (prolonged in time) measurements of quantum systems. Monitoring of the system coordinates is such a continuous measurement that allows one to describe a…

chao-dyn · Physics 2008-02-03 Michael Mensky

This work theoretically investigates the transition from topology to chaos in a periodically driven system consisting of a quantum top coupled to a spin-1/2 particle. The system is driven by two alternating interaction kicks per period. For…

Quantum Physics · Physics 2025-06-26 J. Mumford , H. -Y. Xie , R. J. Lewis-Swan

The spreading of quantum information in closed systems, often termed scrambling, is a hallmark of many-body quantum dynamics. In open systems, scrambling competes with noise, errors and decoherence. Here, we provide a universal framework…

Quantum Physics · Physics 2022-08-29 Thomas Schuster , Norman Y. Yao

When an observer wants to identify a quantum state, which is known to be one of a given set of non-orthogonal states, the act of observation causes a disturbance to that state. We investigate the tradeoff between the information gain and…

Quantum Physics · Physics 2009-10-28 Christopher A. Fuchs , Asher Peres

The maximum unitarily extractable work from a quantum system -- ergotropy -- is the basic principle behind quantum batteries, a rapidly emerging field. This work studies ergotropy in two quantum chaotic systems, the quantum kicked top and…

Quantum Physics · Physics 2025-08-11 Sreeram PG , J. Bharathi Kannan , S. Harshini Tekur , M. S. Santhanam

We investigate the relationship between the emergence of chaos synchronization and the information flow in dynamical systems possessing homogeneous or heterogeneous global interactions whose origin can be external (driven systems) or…

Chaotic Dynamics · Physics 2015-06-16 G. Paredes , O. Alvarez-Llamoza , M. G. Cosenza

We demonstrate that the unitary dynamics of a multi-qubit system can display hypersensitivity to initial state perturbation. This contradicts the common belief that the classical approach based on the exponential divergence of initially…

Quantum Physics · Physics 2023-07-28 Andrzej Grudka , Paweł Kurzyński , Adam S. Sajna , Jan Wójcik , Antoni Wójcik

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…

Disordered Systems and Neural Networks · Physics 2015-02-26 Gabor Vattay , Stuart Kauffman , Samuli Niiranen

The main signature of chaos in a quantum system is provided by spectral statistical analysis of the nearest neighbor spacing distribution and the spectral rigidity given by $\Delta_3(L)$. It is shown that some standard unfolding procedures,…

Chaotic Dynamics · Physics 2016-09-08 J. M. G. Gomez , R. A. Molina , A. Relano , J. Retamosa

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

Quantum chaos is usually characterized through its statistical implications on the energy spectrum of a given system. In this work we propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system…

Quantum Physics · Physics 2021-04-14 Nicolás Mirkin , Diego Wisniacki , Paula I. Villar , Fernando C. Lombardo

In this study, we explore the information capacity of open quantum systems, focusing on the effective channels formed by the subsystem of random quantum circuits and quantum Hamiltonian evolution. By analyzing the subsystem information…

Quantum Physics · Physics 2025-06-26 Yu-Qin Chen , Shuo Liu , Shi-Xin Zhang

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

A measure describing the chaos of a dynamics was introduced by two complexities in information dynamics, and it is called the chaos degree. In particular, the entropic chaos degree has been used to characterized several dynamical maps such…

Quantum Physics · Physics 2007-05-23 Kei Inoue , Andrzej Kossakowski , Masanori Ohya
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