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- Gen Kimura, Andrzej Kossakowski
- Open Syst. Inform. Dynam.
- 2005

Bloch-vector spaces for N -level systems are investigated from the spherical-coordinate point of view in order to understand their geometrical aspects. We present a characterization of the space byâ€¦ (More)

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 generalizesâ€¦ (More)

We provide a partial classification of positive linear maps in matrix algebras which is based on a family of spectral conditions. This construction generalizes celebrated Choi example of a map whichâ€¦ (More)

- Dariusz Chruscinski, Andrzej Kossakowski
- Physical review letters
- 2013

We provide a new approach to open quantum systems which is based on the Feshbach projection method. Instead of looking for a master equation for the dynamical map acting in the space of densityâ€¦ (More)

- Dariusz Chruscinski, Andrzej Kossakowski
- Physical review letters
- 2010

We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing the evolution of such a system may be described either by a nonlocal master equation with aâ€¦ (More)

- Andrzej Kossakowski, Masanori Ohya, Yoshio Togawa
- Open Syst. Inform. Dynam.
- 2003

- Dariusz Chruscinski, Andrzej Kossakowski
- Open Syst. Inform. Dynam.
- 2007

We construct a new class of positive indecomposable maps in the algebra of d Ã— d complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes a Choiâ€¦ (More)

- Manuel Asorey, Andrzej Kossakowski, Giuseppe Marmo, E. C. George Sudarshan
- Open Syst. Inform. Dynam.
- 2005

The relation between completely positive maps and compound states is investigated in terms of the notion of quantum conditional probability.

- Dariusz Chruscinski, Andrzej Kossakowski
- Open Syst. Inform. Dynam.
- 2006

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 channelsâ€¦ (More)

- Gen Kimura, Andrzej Kossakowski
- Open Syst. Inform. Dynam.
- 2003

A class of linear positive, trace preserving maps in Mn is given in terms of affine maps in R n 2 âˆ’1 which map the closed unit ball into itself.