@article{EisertBrowneScheeletal.2004,
  author    = {Eisert, Jens and Browne, Dan E. and Scheel, S. and Plenio, M. B.},
  title     = {Distillation of continuous-variable entanglement with optical means},
  issn      = {0003-4916},
  year      = {2004},
  abstract  = {We present an event-ready procedure that is capable of distilling Gaussian two-mode entangled states from a supply of weakly entangled states that have become mixed in a decoherence process. This procedure relies on passive optical elements and photon detectors distinguishing the presence and the absence of photons, but does not make use of photon counters. We identify fixed points of the iteration map, and discuss in detail its convergence properties. Necessary and sufficient criteria for the convergence to two-mode Gaussian states are presented. On the basis of various examples we discuss the performance of the procedure as far as the increase of the degree of entanglement and two-mode squeezing is concerned. Finally, we consider imperfect operations and outline the robustness of the scheme under non- unit detection efficiencies of the detectors. This analysis implies that the proposed protocol can be implemented with currently available technology and detector efficiencies. (C) 2004 Elsevier Inc. All rights reserved},
  language  = {en}
}
@article{EisertPlenioBoseetal.2004,
  author    = {Eisert, Jens and Plenio, M. B. and Bose, S. and Hartley, J.},
  title     = {Towards quantum entanglement in nanoelectromechanical devices},
  issn      = {0031-9007},
  year      = {2004},
  abstract  = {We study arrays of mechanical oscillators in the quantum domain and demonstrate how the motions of distant oscillators can be entangled without the need for control of individual oscillators and without a direct interaction between them. These oscillators are thought of as being members of an array of nanoelectromechanical resonators with a voltage being applicable between neighboring resonators. Sudden nonadiabatic switching of the interaction results in a squeezing of the states of the mechanical oscillators, leading to an entanglement transport in chains of mechanical oscillators. We discuss spatial dimensions, Q factors, temperatures and decoherence sources in some detail, and find a distinct robustness of the entanglement in the canonical coordinates in such a scheme. We also briefly discuss the challenging aspect of detection of the generated entanglement},
  language  = {en}
}
@article{PlenioHartleyEisert2004,
  author    = {Plenio, M. B. and Hartley, J. and Eisert, Jens},
  title     = {Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom},
  issn      = {1367-2630},
  year      = {2004},
  abstract  = {We study the entanglement dynamics of a system consisting of a large number of coupled harmonic oscillators in various configurations and for different types of nearest-neighbour interactions. For a one-dimensional chain, we provide compact analytical solutions and approximations to the dynamical evolution of the entanglement between spatially separated oscillators. Key properties such as the speed of entanglement propagation, the maximum amount of transferred entanglement and the efficiency for the entanglement transfer are computed. For harmonic oscillators coupled by springs, corresponding to a phonon model, we observe a non-monotonic transfer efficiency in the initially prepared amount of entanglement, i.e. an intermediate amount of initial entanglement is transferred with the highest efficiency. In contrast, within the framework of the rotating-wave approximation (as appropriate, e.g. in quantum optical settings) one finds a monotonic behaviour. We also study geometrical configurations that are analogous to quantum optical devices (such as beamsplitters and interferometers) and observe characteristic differences when initially thermal or squeezed states are entering these devices. We show that these devices may be switched on and off by changing the properties of an individual oscillator. They may therefore be used as building blocks of large fixed and pre-fabricated but programmable structures in which quantum information is manipulated through propagation. We discuss briefly possible experimental realizations of systems of interacting harmonic oscillators in which these effects may be confirmed experimentally},
  language  = {en}
}
@article{AudenaertEisertJaneetal.2001,
  author    = {Audenaert, Katrien and Eisert, Jens and Jane, E. and Plenio, M. B. and Virmani, S. and Moor, B. D.},
  title     = {The asymptotic relative entropy of entanglement},
  year      = {2001},
  abstract  = {We present an analytical formula for the asymptotic relative entropy of entanglement for Werner states of arbitrary dimensionality. We then demonstrate its validity using methods from convex optimization. This is the first case in which the value of a subadditive entanglement measure has been obtained in the asymptotic limit. This formula also gives the sharpest known upper bound on the distillable entanglement of these states.},
  language  = {en}
}
@article{EisertJacobsPlenioetal.2000,
  author    = {Eisert, Jens and Jacobs, K. and Plenio, M. B. and Papadopolous, P.},
  title     = {Optimal local implementation of nonlocal quantum gates},
  year      = {2000},
  language  = {en}
}
@article{EisertFelbingerPapadopolousetal.2000,
  author    = {Eisert, Jens and Felbinger, Timo and Papadopolous, P. and Plenio, M. B. and Wilkens, Martin},
  title     = {Classical information and distillable entanglement},
  year      = {2000},
  abstract  = {We establish a quantitative connection between the amount of lost classical information about a quantum state and the concomitant loss of entanglement. Using menthods that have been developed for the optimal purification of miced states, we find a class of miced states with known distillable entanglement. These results can be used to determine the quantum capacity of a quantum channel which randomizes the order of transmitted signals.},
  language  = {en}
}
@article{EisertPlenio1999,
  author    = {Eisert, Jens and Plenio, M. B.},
  title     = {A comparison of entanglement measures},
  year      = {1999},
  abstract  = {We compare the entanglement of formation with a measure defined as the modulus of the negative eigenvalue of the partial transpose. In particular we investigate whether both measures give the same ordering of density perators with respect to the amount of entanglement.},
  language  = {en}
}