Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Quantum collapse rules from the maximum relative entropy principle

- F. Hellmann, W. Kami'nski, Ryszard Pawel Kostecki
- Physics
- 29 July 2014

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… Expand

9 2- PDF

W*-algebras and noncommutative integration

- Ryszard Pawel Kostecki
- Mathematics
- 18 July 2013

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… Expand

11 1- PDF

The General Form of γ-Family of Quantum Relative Entropies

- Ryszard Pawel Kostecki
- Mathematics, Computer Science
- Open Syst. Inf. Dyn.
- 11 June 2011

TLDR

6 1- PDF

The general form of gamma-family of quantum relative entropies

- Ryszard Pawel Kostecki
- Mathematics
- 11 June 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… Expand

3

Local quantum information dynamics

- Ryszard Pawel Kostecki
- Physics, Mathematics
- 6 May 2016

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… Expand

3- PDF

Noncommutative Orlicz spaces over W*-algebras

- Ryszard Pawel Kostecki
- Mathematics
- 31 August 2014

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… Expand

4- PDF

Lüders' and quantum Jeffrey's rules as entropic projections

- Ryszard Pawel Kostecki
- Mathematics, Physics
- ArXiv
- 15 August 2014

TLDR

6- PDF

Equivalence of tensor products over a category of W*-algebras

- Ryszard Pawel Kostecki, T. Tylec
- Mathematics, Physics
- 20 December 2017

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… Expand

Quantum Schwarzschild space-time

- Paweł Duch, Ryszard Pawel Kostecki
- Physics
- 29 October 2011

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… Expand

2- PDF

Quantum Brègman distances and categories

- Ryszard Pawel Kostecki
- Computer Science, Physics
- ArXiv
- 5 October 2017

TLDR