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Development of robust quantum control has been challenging and there are numerous obstacles to applying classical robust control to quantum system including bilinearity, marginal stability, state preparation errors, nonlinear figures of…

Quantum Physics · Physics 2022-07-26 C. A. Weidner , S. G. Schirmer , F. C. Langbein , E. A. Jonckheere

Non-Markovian features of a system evolution, stemming from memory effects, may be utilized to transfer, storage, and revive basic quantum properties of the system states. It is well known that an atom qubit undergoes non-Markovian dynamics…

Quantum Physics · Physics 2025-11-26 Ali Mortezapour , Mahdi Ahmadi Borji , DaeKil Park , Rosario Lo Franco

In this work we study the non-Markovian behaviour of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both…

Quantum Physics · Physics 2014-03-03 I. Garcia-Mata , Carlos Pineda , Diego A. Wisniacki

An unstable quantum state generally decays following an exponential law, as environmental decoherence is expected to prevent the decay products from recombining to reconstruct the initial state. Here we show the existence of deviations from…

Quantum Physics · Physics 2017-10-02 M. Beau , J. Kiukas , I. L. Egusquiza , A. del Campo

In practical applications, quantum systems are inevitably subject to significant uncertainties, including unknown initial states, imprecise physical parameters, and unmodeled environmental noise, all of which pose major challenges to robust…

Mathematical Physics · Physics 2025-11-12 Weichao Liang , Daoyi Dong

The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments are studied by the time-convolutionless master-equation approach. The influence of non-Markovian effect…

Quantum Physics · Physics 2018-11-06 Hong-Mei Zou , Mao-Fa Fang , Bai-Yuan Yang , You-Neng Guo , Wei He , Shi-Yang Zhang

The stability of dynamical systems against perturbations (variations in initial conditions/model parameters) is a property referred to as structural stability. The study of sensitivity to perturbation is essential because in experiment…

Quantum Physics · Physics 2014-11-18 Elliott Tammaro

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

We show that when a quantum system is coupled to an environment in a mean field way, then its effective dynamics is governed by a unitary group with a time-dependent Hamiltonian. The time-dependent modification of the bare system…

Quantum Physics · Physics 2024-09-25 Michele Fantechi , Marco Merkli

Engineering quantum systems offers great opportunities both technologically and scientifically for communication, computation, and simulation. The construction and operation of large scale quantum information devices presents a grand…

Quantum Physics · Physics 2012-05-30 Sophie G. Schirmer , Daniel K. L. Oi , Weiwei Zhou , Erling Gong , Ming Zhang

The non-Markovia dynamics of quantum evolution plays an important role in open quantum sytem. However, how to quantify non-Markovian behavior and what can be obtained from non- Markovianity are still open questions, especially in complex…

Quantum correlations between two systems can be impaired by the presence of an environment, as it can make systems decohere. We wish to evaluate how much coherence has been irreversibly lost. To do so, we study two qubits which leak…

Quantum Physics · Physics 2016-01-25 Filippo M. Miatto , Kevin Piche , Thomas Brougham , Robert W. Boyd

Instabilities of equilibrium quantum mechanics are common and well-understood. They are manifested for example in phase transitions, where a quantum system becomes so sensitive to perturbations that a symmetry can be spontaneously broken.…

Quantum Physics · Physics 2015-02-27 Jasper van Wezel

We investigate the decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling to the strong-coupling regimes. Due to the existence of localized modes in the…

Quantum Physics · Physics 2016-10-14 Yu-Chen Lin , Pei-Yun Yang , Wei-Min Zhang

In this paper, we propose a non-Markovian quantum channel approach to mitigating the degradation of the average fidelity in continuous-variable quantum teleportation. The non-Markovian quantum channel is modeled by an augmented system,…

Quantum Physics · Physics 2023-10-17 Yanfang Wang , Shibei Xue , Hongbin Song , Min Jiang

We study the implementation of one-, two-, and three-qubit quantum gates for interacting qubits using optimal control. Different Markovian and non-Markovian environments are compared and efficient optimisation algorithms utilising analytic…

Quantum Physics · Physics 2012-10-23 Frederik Floether , Pierre de Fouquieres , Sophie Schirmer

Modeling the environment of a single qubit as an N dimensional quantum system, we show that the dynamics of the qubit alone, if measured in sufficient detail, can reveal the parameters of the qubit-environment coupling Hamiltonian. We show…

Quantum Physics · Physics 2015-10-02 Vinayak Jagadish , Anil Shaji

We present a formalism for detection of non-Markovianity through uncertainty relations. We show that when there is an information back-flow to the system from its environment through CP-divisibility breaking, the Choi-states corresponding…

Quantum Physics · Physics 2020-03-20 Ananda G. Maity , Samyadeb Bhattacharya , A. S. Majumdar

Chaotic evolutions exhibit exponential sensitivity to initial conditions. This suggests that even very small perturbations resulting from weak coupling of a quantum chaotic environment to the position of a system whose state is a non-local…

Quantum Physics · Physics 2009-11-07 Robin Blume-Kohout , Wojciech H. Zurek

In this paper we analyze the dynamics in a spin-model of quantum computer. Main attention is paid to the dynamical fidelity (associated with dynamical errors) of an algorithm that allows to create an entangled state for remote qubits. We…

Quantum Physics · Physics 2014-07-29 G. P. Berman , F. Borgonovi , G. Celardo , F. M. Izrailev , D. I. Kamenev