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We study the quantum dynamics generated by the repeated action of a non-unitary evolution operator on a system of qubits. Breaking unitarity can lead to the purification of mixed initial states, which corresponds to the loss of sensitivity…

量子物理 · 物理学 2025-12-03 Yi-Cheng Wang , Ehud Altman , Samuel J. Garratt

The dynamics of an ensemble of identically prepared two-qubit systems is investigated which is subjected to the iteratively applied measurements and conditional selection of a typical entanglement purification protocol. It is shown that the…

量子物理 · 物理学 2011-09-19 T. Kiss , S. Vymětal , L. D. Tóth , A. Gábris , I. Jex , G. Alber

We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex…

量子物理 · 物理学 2007-05-23 T. Kiss , I. Jex , G. Alber , S. Vymetal

We find that characteristics of quantum tunneling in the presence of chaos can be regarded as a manifestation of the Julia set of the complex dynamical system. Several numerical evidences for the standard map together with a rigorous…

混沌动力学 · 物理学 2009-11-07 A. Shudo , Y. ishii , K. S. Ikeda

Quantum information processing exploits all the features quantum mechanics offers. Among them there is the possibility to induce nonlinear maps on a quantum system by involving two or more identical copies of the given system in the same…

量子物理 · 物理学 2019-03-05 Martin Malachov , Igor Jex , Orsolya Kálmán , Tamás Kiss

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

量子物理 · 物理学 2021-03-02 Manik Kapil , Amarendra K. Sarma

The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation --…

量子物理 · 物理学 2009-11-10 Salman Habib , Kurt Jacobs , Kosuke Shizume

In this paper, the purity of quantum states is applied to probe chaotic dissipative dynamics. To achieve this goal, a comparative analysis of regular and chaotic regimes of nonlinear dissipative oscillator (NDO) are performed on the base of…

量子物理 · 物理学 2014-09-01 A. R. Shahinyan , Lock Yue Chew , G. Yu. Kryuchkyan

Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespectively of its initial condition, because of an {\em effective non-unitary evolution}. If the target state…

量子物理 · 物理学 2018-07-24 B. Militello , K. Yuasa , H. Nakazato , A. Messina

We examine whether the chaotic behavior of classical systems with a limited number of degrees of freedom can produce quantum dephasing, against the conventional idea that dephasing takes place only in large systems with a huge number of…

量子物理 · 物理学 2009-10-30 Hiromichi Nakazato , Mikio Namiki , Saverio Pascazio , Yoshiya Yamanaka

We report on the numerical simulation of the double-slit experiment, where the initial wave-packet is bounded inside a billiard domain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is…

混沌动力学 · 物理学 2009-11-10 Giulio Casati , Tomaz Prosen

Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to…

高能物理 - 理论 · 物理学 2025-03-27 Arpan Bhattacharyya , Suddhasattwa Brahma , Satyaki Chowdhury , Xiancong Luo

We investigate the effect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting…

量子物理 · 物理学 2008-02-03 B. Kaulakys

We introduce the concept of a physical process that purifies a mixed quantum state, taken from a set of states, and investigate the conditions under which such a purification map exists. Here, a purification of a mixed quantum state is a…

量子物理 · 物理学 2007-05-23 M. Kleinmann , H. Kampermann , T. Meyer , D. Bruss

Any real interaction process produces many incompatible system versions, or realisations, giving rise to omnipresent dynamic randomness and universally defined complexity (arXiv:physics/9806002). Since quantum behaviour dynamically emerges…

综合物理 · 物理学 2014-01-30 Andrei P. Kirilyuk

Most classical dynamical systems are chaotic. The trajectories of two identical systems prepared in infinitesimally different initial conditions diverge exponentially with time. Quantum systems, instead, exhibit quasi-periodicity due to…

Characterizing noisy quantum processes is important to quantum computation and communication (QCC), since quantum systems are generally open. To date, all methods of characterization of quantum dynamics (CQD), typically implemented by…

量子物理 · 物理学 2015-01-28 S. Omkar , R. Srikanth , S. Banerjee

A system of quantum computing structures is introduced and proven capable of making emerge, on average, the orbits of classical bounded nonlinear maps on \mathbb{C} through the iterative action of path-dependent quantum gates. The effects…

混沌动力学 · 物理学 2012-08-14 Carlos Pedro Gonçalves

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

物理与社会 · 物理学 2022-09-09 Amin Gasmi

We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity…

高能物理 - 理论 · 物理学 2021-10-20 Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim
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