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Browsing Artykuły (WFAIS) by Author "Kossakowski, Andrzej"

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Browsing Artykuły (WFAIS) by Author "Kossakowski, Andrzej"

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  • Chruściński, Dariusz; Kossakowski, Andrzej; Młodawski, Krzysztof; Matsuoka, Takashi (2010)
    We analyze special class of bipartite states - so called Bell diagonal states. In particular we provide new examples of bound entangled Bell diagonal states and construct the class of entanglement witnesses diagonal in the ...
  • Chruściński, Dariusz; Kossakowski, Andrzej; Aniello, P.; Marmo, Giuseppe; Ventriglia, F. (2010-04-08)
    We analyze a class of dynamics of open quantum systems which is governed by the dynamical map mutually commuting at different times. Such evolution may be effectively described via spectral analysis of the corresponding ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2007-11-28)
    We construct a new class of positive indecomposable maps in the algebra of `d x d' complex matrices. These maps are characterized by the `weakest' positivity property and for this reason they are called atomic. This class ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2006-04-03)
    We construct a new class of PPT states for bipartite "d x d" systems. This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases almost all known examples of PPT states. Theses ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2010-11-02)
    We provide a simple class of 2-qudit states for which one is able to formulate necessary and sufficient conditions for separability. As a byproduct we generalize well known construction provided by Horodecki et al. for ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2010-10-22)
    We provided a class of legitimate memory kernels leading to completely positive trace preserving dynamical maps. Our construction is based on a simple normalization procedure. Interestingly, when applied to the celebrated ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2010-06-14)
    We propose a complete treatment of a local in time dynamics of open quantum systems. In this approach Markovian evolution turns out to be a special case of a general non-Markovian one. We provide a general representation ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2009-02-05)
    We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2007-12-07)
    We present very simple method for constructing indecomposable entanglement witnesses out of a given pair -- an entanglement witness W and the corresponding state detected by W. This method may be used to produce new classes ...
  • Chruściński, Dariusz; Kossakowski, Andrzej; Pascazio, Saverio (2010-01-19)
    If the dynamics of an open quantum systems is non-Markovian, its {asymptotic} state strongly depends on the initial conditions, even if the dynamics possesses an {invariant} state. This is the very essence of memory effects. ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2012-01-28)
    We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2007-10-10)
    We construct a large class of multipartite qudit states which are positive under the family of partial transpositions. The construction is based on certain direct sum decomposition of the total Hilbert space displaying ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2010-01-10)
    We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2007-06-13)
    We construct a large class of quantum "d x d" states which are positive under partial transposition (so called PPT states). The construction is based on certain direct sum decomposition of the total Hilbert space displaying ...
  • Accardi, L.; Chruściński, Dariusz; Kossakowski, Andrzej; Matsuoka, Takashi; Ohya, Masanori (2011-02-01)
    We analyze the procedure of lifting in classical stochastic and quantum systems. It enables one to `lift' a state of a system into a state of `system+reservoir'. This procedure is important both in quantum information ...
  • Chruściński, Dariusz; Kossakowski, Andrzej; Rivas, Ángel (2011-03-24)
    We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We provide a toy model to show ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2006-02-01)
    We construct a new class of multipartite states possessing orthogonal symmetry. This new class defines a convex hull of multipartite states which are invariant under the action of local unitary operations introduced in our ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2006-02-01)
    We propose a natural generalization of bipartite Werner and isotropic states to multipartite systems consisting of an arbitrary even number of d-dimensional subsystems (qudits). These generalized states are invariant under ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2005-11-28)
    Using well known duality between quantum maps and states of composite systems we introduce the notion of Schmidt number of a quantum channel. It enables one to define classes of quantum channels which partially break quantum ...
  • Chruściński, Dariusz; Kossakowski, Andrzej (2006-06-26)
    We construct a new class of positive indecomposable maps in the algebra of 'd x d' complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes a Choi map for d=3. It provides ...

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