# Mirko Navara presents New configurations of quantum experiments

On 2023-10-18 14:30:00 at E112, Karlovo náměstí 13, Praha 2

(See also https://cmp.felk.cvut.cz/~navara/lectures/SvozilN_Abstract.html)

In quantum physics, so-called entangled quantum states play an important role.

Quantum entanglement occurs when a group of particles interact in such a way

that the quantum state of each particle of the group cannot be described

independently of the state of the others.

A famous one is the Greenberger–Horne–Zeilinger state.

We studied a diagram related to entanglement, which has specific properties.•

To prove that such a configuration is realistic, we had to show that it is the

orthogonality diagram of a real set of vectors in 3D.

We accomplished this in a joint work with Karl Svozil from TU Wien.

We used only elements of 3D geometry, thus the topic can be understood also by

a wider audience not necessarily familiar with quantum logics.

•For insiders:

The diagram represents a quantum logic (orthomodular lattice) with elements a,

b, c, d, e, f such that, for any probability measure P, we have

P(a)+P(b)+P(c) = P(d)+P(e)+P(f),

while this sum can be almost arbitrary.

In quantum physics, so-called entangled quantum states play an important role.

Quantum entanglement occurs when a group of particles interact in such a way

that the quantum state of each particle of the group cannot be described

independently of the state of the others.

A famous one is the Greenberger–Horne–Zeilinger state.

We studied a diagram related to entanglement, which has specific properties.•

To prove that such a configuration is realistic, we had to show that it is the

orthogonality diagram of a real set of vectors in 3D.

We accomplished this in a joint work with Karl Svozil from TU Wien.

We used only elements of 3D geometry, thus the topic can be understood also by

a wider audience not necessarily familiar with quantum logics.

•For insiders:

The diagram represents a quantum logic (orthomodular lattice) with elements a,

b, c, d, e, f such that, for any probability measure P, we have

P(a)+P(b)+P(c) = P(d)+P(e)+P(f),

while this sum can be almost arbitrary.