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Geometric Phases in Classical and Quantum Mechanics

- D. Chruściński, A. Jamiołkowski
- Physics
- 2004

Preface - Mathematical background - Adiabatic phases in quantum mechanics - Adiabatic phases in classical mechanics - Geometric approach to classical phases - Geometry of quantum evolution -… Expand

Spectral Conditions for Positive Maps

- D. Chruściński, A. Kossakowski
- Mathematics
- 29 September 2008

We provide partial classification of positive linear maps in matrix algebras which is based on a family of spectral conditions. This construction generalizes the celebrated Choi example of a map… Expand

Degree of non-Markovianity of quantum evolution.

- D. Chruściński, S. Maniscalco
- MathematicsPhysical review letters
- 17 November 2013

We propose a new characterization of non-Markovian quantum evolution based on the concept of non-Markovianity degree. It provides an analog of a Schmidt number in the entanglement theory and reveals… Expand

Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspective

- B. Bylicka, D. Chruściński, S. Maniscalco
- PhysicsScientific reports
- 21 July 2014

TLDR

On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps

- D. Chruściński, A. Kossakowski
- MathematicsOpen Syst. Inf. Dyn.
- 26 June 2006

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 Choi map… Expand

On Partially Entanglement Breaking Channels

- D. Chruściński, A. Kossakowski
- PhysicsOpen Syst. Inf. Dyn.
- 28 November 2005

Using well known duality between quantum maps and states of composite systems we introduce the notion of Schmidt number for a quantum channel. It enables one to define classes of quantum channels… Expand

Operational Characterization of Divisibility of Dynamical Maps.

- J. Bae, D. Chruściński
- MathematicsPhysical review letters
- 21 January 2016

TLDR

Universal Spectra of Random Lindblad Operators.

- S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, K. Życzkowski
- Mathematics, PhysicsPhysical review letters
- 29 November 2018

TLDR

Quantum mechanics of damped systems

- D. Chruściński
- Physics
- 17 January 2003

We show that the quantization of a simple damped system leads to a self-adjoint Hamiltonian with a family of complex generalized eigenvalues. It turns out that they correspond to the poles of energy… Expand

Memory in a Nonlocally Damped Oscillator

- D. Chruściński, J. Jurkowski
- Physics
- 9 July 2007

We analyze the new equation of motion for the damped oscillator. It differs from the standard one by a damping term which is nonlocal in time and hence it gives rise to a system with memory. Both… Expand

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