Jan Ševic presents Reichenbach's causal completeness of quantum probability spaces; Contextuality
On 2025-05-16 13:30:00 at G205, Karlovo náměstí 13, Praha 2
The seminar contains three short presentations:
1. Rehearsal of a work submitted for the forthcoming competition SVOČ,
Reichenbach's causal completeness of quantum probability spaces
by D. Burešová, K. Houšková, and J. Ševic.
Reichenbach's common cause principle (RCCP) is a metaphysical claim about the
causal structure of the world. We adopt its mathematical formulation in quantum
probability. We discuss which event structures fulfill this principle and which
do not. We construct embeddings into systems in which correlated events do have
common causes.
2. Rehearsal of a work accepted for the International Symposium on Fuzzy Sets,
Is there a link between Reichenbach implication and Reichenbach’s common
cause
principle?
by D. Burešová, K. Houšková, M. Navara, P. Pták, and J. Ševic.
We show a relation between the Reichenbach fuzzy implication and Reichenbach's
common cause principle.
3. Presentation of the paper
Navara, M., Svozil, K.: Exploring Quantum Contextuality with the Quantum
Möbius-Escher-Penrose hypergraph. Physical Review A 111 (2025), 042209. DOI
10.1103/PhysRevA.111.042209
We present a quantum structure with strange state-space properties. It
restricts
the sum of values of states on some "unrelated" events while keeping much
freedom in their individual values. Although designed in graph-theoretical
terms, we have found its representation by vectors in a three-dimensional
space, thus it has a physical interpretation in the standard model.
1. Rehearsal of a work submitted for the forthcoming competition SVOČ,
Reichenbach's causal completeness of quantum probability spaces
by D. Burešová, K. Houšková, and J. Ševic.
Reichenbach's common cause principle (RCCP) is a metaphysical claim about the
causal structure of the world. We adopt its mathematical formulation in quantum
probability. We discuss which event structures fulfill this principle and which
do not. We construct embeddings into systems in which correlated events do have
common causes.
2. Rehearsal of a work accepted for the International Symposium on Fuzzy Sets,
Is there a link between Reichenbach implication and Reichenbach’s common
cause
principle?
by D. Burešová, K. Houšková, M. Navara, P. Pták, and J. Ševic.
We show a relation between the Reichenbach fuzzy implication and Reichenbach's
common cause principle.
3. Presentation of the paper
Navara, M., Svozil, K.: Exploring Quantum Contextuality with the Quantum
Möbius-Escher-Penrose hypergraph. Physical Review A 111 (2025), 042209. DOI
10.1103/PhysRevA.111.042209
We present a quantum structure with strange state-space properties. It
restricts
the sum of values of states on some "unrelated" events while keeping much
freedom in their individual values. Although designed in graph-theoretical
terms, we have found its representation by vectors in a three-dimensional
space, thus it has a physical interpretation in the standard model.