393 citations
- Polish Academy of SciencesPL194 papers
- Jagiellonian UniversityPL58 papers
- Center for Theoretical PhysicsPL38 papers
- Silesian University of TechnologyPL29 papers
- University of Silesia in KatowicePL22 papers
- University of GdańskPL12 papers
- University of Maryland, Baltimore CountyUS9 papers
- Institute of PhysicsPL8 papers
- HUN-REN Wigner Research Centre for PhysicsHU7 papers
- National Quantum Information Centre in GdanskPL7 papers
- Institute of MathematicsPL5 papers
- Joint Quantum InstituteUS5 papers
7 papers · 1 filter
Models of quantum computation and quantum programming languages
J. A. Miszczak
The goal of the presented paper is to provide an introduction to the basic computational models used in quantum information theory. We review various models of quantum Turing machi…
Singular value decomposition and matrix reorderings in quantum information theory
J. A. Miszczak
We review Schmidt and Kraus decompositions in the form of singular value decomposition using operations of reshaping, vectorization and reshuffling. We use the introduced notation…
Numerical shadows: measures and densities on the numerical range
Charles F. Dunkl, Piotr Gawron, John A. Holbrook +2
For any operator acting on an -dimensional Hilbert space we introduce its numerical shadow, which is a probability measure on the complex plane supported by the numeri…
Product numerical range in a space with tensor product structure
Zbigniew Puchała, Piotr Gawron, Jarosław Adam Miszczak +3
We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds f…
Stationary states of two-level open quantum systems
Bartlomiej Gardas, Zbigniew Puchala
A problem of finding stationary states of open quantum systems is addressed. We focus our attention on a generic type of open system: a qubit coupled to its environment. We apply t…
Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath
Bartlomiej Gardas
The two-level quantum system (qubit) in a precessing magnetic field and in contact with a heat bath is investigated. The exact reduced dynamics for the qubit in question is obtaine…