The next meeting of the Algebra and Logic Seminar will take place on April 3, 2026 (Friday) at 1:00 pm (UTC+3) in online format via Zoom.

A talk on:

On Pairs of Non-commuting Hermitian Operators on the Unitary Plane which are Permutable Measurements

will be delivered by

Valentin Iliev (IMI-BAS).

Abstract. In this presentation we study observables with spectre {-1,1} on quantum systems with the unitary plane as a space of states. Examples of such quantum systems are spin-1/2 particles. We find necessary and sufficient conditions for two non-commuting observables to be permutable measurements, that is, the probability of obtaining a particular pair of results does not depend on the order of taking these measurements. Several examples are presented.

Everybody is invited.

Algebra and Logic Department, IMI – BAS
http://www.math.bas.bg/algebra/seminarAiL/
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