Dept. of Mathematics, Faculty of Civil Engineerig in Bratislava, Slovak University of Technology, Mathematical Institute, Slovak Academy of Sciences, JSMF

# Quantum Structures 2011

**Third international workshop**

**May 16 – 20, 2011, Kočovce, Slovakia**

### Programme

**Monday May 16**

13:00 - 18:00 **Registration**

18:20 **Opening ceremony**

**Chairman:** Pulmannova, S.

18:30 Dvurečenskij, A. (Slovakia):

**States on Effect Algebras versus Integrals**

**Chairman:** Garola, C.

19:15 Round Table:

**Quantum Structures - Applications**

**Tuesday May 17**

**Chairman:** Navara, M.

9:00 Pulmannová, S. and Foulis, D.J. (Slovakia and USA):

**Projections and ideals in a synaptic algebra**9:30 Pykacz, J. and Frąckiewicz, P. (Poland):

**Quantization of extensive games**

**Chairman:** Riečan, B.

10:30 Hudson, R. (Great Britain):

**Quantum Levy area**

**Chairman:** Pykacz, J.

11:30 Garola, C. (Italy):

**On the representation of mixtures in the ESR model for QM**

**Chairman:** Paseka, J.

16:00 Chovanec, F. and Jurečková, M. (Slovakia):

**Dimension of fractal D-posets**16:30 Bohdalová, M., Kalina, M. and Nánásiová, O. (Slovakia):

**Classical versus quantum models of time series - accuracy of predictions**

**Chairman:** Kalina, M.

17:10 Gabriels, J.J.M. and Navara M. (Germany and Czech Republic ):

**Properties of OML operations and the role of computers in proofs**17:40 Kuková, M. (Slovakia):

**An Extension of a State from Interval Valued Fuzzy Sets to MV-Algebra**

**Wednesday May 18**

**Chairman:** Hudson, R.

9:00 Riečanová, Z. (Slovakia):

**Operator effect algebras in Hilbert spaces**9:30 Paseka, J. (Czech Republic):

**The role of meager elements in homogeneous effect algebras**

**Chairman:** Garola, C.

10:30 Riečan, B. (Slovakia):

**On the product of some algebraic structures**11:00 Battilotti, G. (Italy):

**Duality of quantum states from basic logic**

**Chairman:** Riečanová, Z.

11:40 Frič, R. and Papčo, M. (Slovakia):

**Lukasiewicz tribes as probability domains**12:10 Caragheorgheopol, D. and Tkadlec, J. (Romania and Czech Republic):

**Effect algebras with compression bases**

**Chairman:** Pykacz, J.

- 19:15 Round table

**Thursday May 19**

**Chairman:** Battilotti, G.

9:00 Kalina, M. (Slovakia):

**On a pathological behavior of conditional states on OML's**9:30 Hyčko, M. (Slovakia):

**State operators on Boolean algebras**

**Chairman:** Pulmannová, S.

10:30 Svozil, K. (Austria):

**How much contextuality?**

**Chairman:** Svozil, K.

11:30 Olejček, V. (Slovakia):

**Fractal contruction of an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements**12:00 Pulmannová, S. and Vinceková, E. (Slovakia):

**A note on abelian extensions of partial monoids**

**Chairman:** Pykacz, J.

- 18:30 Open Problems Session
- What have "archimedian" structures in common with Archimedes?
- How to characterize algebraically entanglement?
- How to introduce dynamics into quantum structures?

**Friday May 20**

**Chairman:** Tkadlec, J.

9:00 Xie, Y., Li., Y. and Dvurečenskij, A.(China and Slovakia):

**The Greechie diagrams of Lattice-ordered Effect Algebras**9:30 Zajac, M. (Slovakia):

**Unbounded linear operators in effect algebras**

**Chairman:** Chovanec, F.

10:00 Drobná, E., Nánásiová, O. and Valášková, Ľ. (Slovakia):

**Quantum logics and two-dimensional states**10:30 Nánásiová, O. and Valášková, Ľ. (Slovakia):

**A note to the existence of n-dimensional s-maps on quantum logics**

**Closing ceremony** May 20 11:00