#### Filter Results:

- Full text PDF available (8)

#### Publication Year

2011

2017

- This year (0)
- Last 5 years (6)
- Last 10 years (9)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

We show that the von Neumann–Luders collapse rules in quantum mechanics always select the unique state that maximises the quantum relative entropy with respect to the premeasurement state, subject to… (More)

- Ryszard Pawel Kostecki
- Open Syst. Inform. Dynam.
- 2011

We use the Falcone–Takesaki non-commutative flow of weights and the resulting theory of non-commutative Lp spaces in order to define the family of relative entropy functionals that naturally… (More)

This text is a detailed overview of the theories of W*-algebras and noncommutative integration, up to the Falcone-Takesaki theory of noncommutative Lp spaces over arbitrary W*-algebras, and its… (More)

In this paper we: 1) show how the smooth geometry of spaces of normal quantum states over W*-algebras (generalised spaces of density matrices) may be used to substantially enrich the description of… (More)

Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No quantisation… (More)

- Ryszard Pawel Kostecki
- ArXiv
- 2014

We prove that the standard quantum mechanical description of a quantum state change due to measurement, given by Luders’ rules, is a special case of the constrained maximisation of a quantum relative… (More)

We prove the equivalence of two tensor products over a category of W*-algebras with normal (not necessarily unital) *-homomorphisms, defined by Guichardet and Dauns, respectively. This structure… (More)

Using the Falcone--Takesaki theory of noncommutative integration, we construct a family of noncommutative Orlicz spaces that are canonically associated to an arbitrary W*-algebra without any choice… (More)

- Ryszard Pawel Kostecki
- ArXiv
- 2017

We introduce, and investigate the properties of, the family of quantum Br\`{e}gman distances, based on embeddings into suitable vector spaces (with the reflexive noncommutative Orlicz spaces over… (More)