1,508,801 research outputs found
Scheme for direct measurement of a general two-qubit Hamiltonian
The construction of two-qubit gates appropriate for universal quantum
computation is of enormous importance to quantum information processing.
Building such gates is dependent on accurate knowledge of the interaction
dynamics between two qubit systems. This letter will present a systematic
method for reconstructing the full two-qubit interaction Hamiltonian through
experimental measures of concurrence. This not only gives a convenient method
for constructing two qubit quantum gates, but can also be used to
experimentally determine various Hamiltonian parameters in physical systems. We
show explicitly how this method can be employed to determine the first and
second order spin-orbit corrections to the exchange coupling in quantum dots.Comment: 4 Pages, 1 Figur
Memory in network flows and its effects on spreading dynamics and community detection
Random walks on networks is the standard tool for modelling spreading
processes in social and biological systems. This first-order Markov approach is
used in conventional community detection, ranking, and spreading analysis
although it ignores a potentially important feature of the dynamics: where flow
moves to may depend on where it comes from. Here we analyse pathways from
different systems, and while we only observe marginal consequences for disease
spreading, we show that ignoring the effects of second-order Markov dynamics
has important consequences for community detection, ranking, and information
spreading. For example, capturing dynamics with a second-order Markov model
allows us to reveal actual travel patterns in air traffic and to uncover
multidisciplinary journals in scientific communication. These findings were
achieved only by using more available data and making no additional
assumptions, and therefore suggest that accounting for higher-order memory in
network flows can help us better understand how real systems are organized and
function.Comment: 23 pages and 16 figure
Distributed multi-vehicle coordinated control via local information exchange
This paper describes a distributed coordination scheme with local information exchange for multiple vehicle systems. We introduce second-order consensus protocols that take into account motions of the information states and their derivatives, extending first-order protocols from the literature. We also derive necessary and sufficient conditions under which consensus can be reached in the context of unidirectional information exchange topologies. This work takes into account the general case where information flow may be unidirectional due to sensors with limited fields of view or vehicles with directed, power-constrained communication links. Unlike the first-order case, we show that having a (directed) spanning tree is a necessary rather than a sufficient condition for consensus seeking with second-order dynamics. This work focuses on a formal analysis of information exchange topologies that permit second-order consensus. Given its importance to the stability of the coordinated system, an analysis of the consensus term control gains is also presented, specifically the strength of the information states relative to their derivatives. As an illustrative example, consensus protocols are applied to coordinate the movements of multiple mobile robots. Copyright © 2006 John Wiley & Sons, Ltd.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/56082/1/1147_ftp.pd
Responding to a complex world: explorations in spatial planning
This article discusses three aspects in relation to complexity theory. First, from an understanding of time and space specificities in the rise of theories, it discusses the wider socio-political reasons that may account for the rise of Complexity Theory and its interest for planners today. The rise of the third sector in governance; the decentralisation of the nation state; the rise of informality; the exponential rise of information and knowledge in every sphere of human and non-human activity and the rise of new normative ideologies are argued to provide the social context for interest in Complexity Theory. Second, this article positions complexity theory within general social science theories and argues that complexity theory best suits the second order realm of social science theorisation. Third, this article positions complexity theory within planning theory and suggests that complexity theorists within planning might engage with the theory in three ways. These are by suggesting new ways of ordering of society and space by configuring or re-configuring planning systems in the first order; unravelling new opportunities for actors to work in society and space with largely self-organised entities and finally by searching for and discovering new dynamics for systems in the first order in society and space
Non-Markovianity and Quantum Correlations in Qubit-Systems
In this Thesis I discuss the exact dynamics of simple non-Markovian systems. I focus on fundamental questions at the core of non-Markovian theory and investigate the dynamics of quantum correlations under non-Markovian decoherence.
In the first context I present the connection between two different non-Markovian approaches, and compare two distinct definitions of non-Markovianity. The general aim is to characterize in exemplary cases which part of the environment is responsible for the feedback of information typical of non- Markovian dynamics. I also show how such a feedback of information is not always described by certain types of master equations commonly used to tackle non-Markovian dynamics.
In the second context I characterize the dynamics of two qubits in a common non-Markovian reservoir, and introduce a new dynamical effect in a wellknown model, i.e., two qubits under depolarizing channels. In the first model the exact solution of the dynamics is found, and the entanglement behavior is extensively studied. The non-Markovianity of the reservoir and reservoirmediated-interaction between the qubits cause non-trivial dynamical features.
The dynamical interplay between different types of correlations is also investigated. In the second model the study of quantum and classical correlations demonstrates the existence of a new effect: the sudden transition between classical and quantum decoherence. This phenomenon involves the complete preservation of the initial quantum correlations for long intervals of time of the order of the relaxation time of the system.Siirretty Doriast
Memory Effects in the Dynamics of Open Quantum Systems
In this Thesis various aspects of memory effects in the dynamics of open quantum systems are studied. We develop a general theoretical framework for open quantum systems beyond the Markov approximation which allows us to investigate different sources of memory effects and to develop methods for harnessing them in order to realise controllable open quantum systems.
In the first part of the Thesis a characterisation of non-Markovian dynamics in terms of information flow is developed and applied to study different sources of memory effects. Namely, we study nonlocal memory effects which arise due to initial correlations between two local environments and further the memory effects induced by initial correlations between the open system and the environment.
The last part focuses on describing two all-optical experiment in which through selective preparation of the initial environment states the information flow between the system and the environment can be controlled. In the first experiment the system is driven from the Markovian to the non- Markovian regime and the degree of non-Markovianity is determined. In the second experiment we observe the nonlocal nature of the memory effects and provide a novel method to experimentally quantify frequency correlations in photonic environments via polarisation measurements.Siirretty Doriast
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