414,382 research outputs found
Controlling electron-electron correlation in frustrated double ionization of molecules with orthogonally polarized two-color laser fields
We demonstrate the control of electron-electron correlation in frustrated
double ionization (FDI) of the two-electron triatomic molecule D when
driven by two orthogonally polarized two-color laser fields. We employ a
three-dimensional semi-classical model that fully accounts for the electron and
nuclear motion in strong fields. We analyze the FDI probability and the
distribution of the momentum of the escaping electron along the polarization
direction of the longer wavelength and more intense laser field. These
observables when considered in conjunction bear clear signatures of the
prevalence or absence of electron-electron correlation in FDI, depending on the
time-delay between the two laser pulses. We find that D is a better
candidate compared to H for demonstrating also experimentally that
electron-electron correlation indeed underlies FDI.Comment: 5 pages, 4 figure
Mixed Qubit Cannot Be Universally Broadcast
We show that there does not exist any universal quantum cloning machine that
can broadcast an arbitrary mixed qubit with a constant fidelity. Based on this
result, we investigate the dependent quantum cloner in the sense that some
parameter of the input qubit is regarded as
constant in the fidelity. For the case of constant , we establish the
optimal symmetric dependent cloner with a fidelity 1/2. It is also
shown that the optimal quantum cloning machine for pure qubits is also
optimal for mixed qubits, when is the unique parameter in the
fidelity. For general broadcasting of mixed qubits, the situation is
very different.Comment: 5 pages, Revte
Entanglement of Formation of Bipartite Quantum States
We give an explicit tight lower bound for the entanglement of formation for
arbitrary bipartite mixed states by using the convex hull construction of a
certain function. This is achieved by revealing a novel connection among the
entanglement of formation, the well-known Peres-Horodecki and realignment
criteria. The bound gives a quite simple and efficiently computable way to
evaluate quantitatively the degree of entanglement for any bipartite quantum
state.Comment: 4 page
Consensus with Linear Objective Maps
A consensus system is a linear multi-agent system in which agents communicate
to reach a so-called consensus state, defined as the average of the initial
states of the agents. Consider a more generalized situation in which each agent
is given a positive weight and the consensus state is defined as the weighted
average of the initial conditions. We characterize in this paper the weighted
averages that can be evaluated in a decentralized way by agents communicating
over a directed graph. Specifically, we introduce a linear function, called the
objective map, that defines the desired final state as a function of the
initial states of the agents. We then provide a complete answer to the question
of whether there is a decentralized consensus dynamics over a given digraph
which converges to the final state specified by an objective map. In
particular, we characterize not only the set of objective maps that are
feasible for a given digraph, but also the consensus dynamics that implements
the objective map. In addition, we present a decentralized algorithm to design
the consensus dynamics
Concurrence of arbitrary dimensional bipartite quantum states
We derive an analytical lower bound for the concurrence of a bipartite
quantum state in arbitrary dimension. A functional relation is established
relating concurrence, the Peres-Horodecki criterion and the realignment
criterion. We demonstrate that our bound is exact for some mixed quantum
states. The significance of our method is illustrated by giving a quantitative
evaluation of entanglement for many bound entangled states, some of which fail
to be identified by the usual concurrence estimation method.Comment: 4 pages, published versio
Hidden and Generalized Conformal Symmetry of Kerr-Sen Spacetimes
It is recently conjectured that generic non-extremal Kerr black hole could be
holographically dual to a hidden conformal field theory in two dimensions.
Moreover, it is known that there are two CFT duals (pictures) to describe the
charged rotating black holes which correspond to angular momentum and
electric charge of the black hole. Furthermore these two pictures can be
incorporated by the CFT duals (general picture) that are generated by
modular group. The general conformal structure can be
revealed by looking at charged scalar wave equation in some appropriate values
of frequency and charge. In this regard, we consider the wave equation of a
charged massless scalar field in background of Kerr-Sen black hole and show in
the "near region", the wave equation can be reproduced by the Casimir operator
of a local hidden conformal
symmetry. We can find the exact agreement between macroscopic and microscopic
physical quantities like entropy and absorption cross section of scalars for
Kerr-Sen black hole. We then find an extension of vector fields that in turn
yields an extended local family of hidden conformal symmetries, parameterized by one
parameter. For some special values of the parameter, we find a copy of
hidden conformal algebra for the charged
Gibbons-Maeda-Garfinkle-Horowitz-Strominger black hole in the strong deflection
limit.Comment: 16 pages, new material and results added, extensive improvements in
interpretation of results, references adde
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