The next meeting of the Algebra and Logic Seminar will be held on September 23, 2022 (Friday) at 1:00 pm (UTC+2) in Room 578 of IMI – BAS.

A talk on:

Geometry and logic in quantum computations

will be delivered by Nikolay M. Nikolov (INRNE – BAS).

Abstract. In 1936, Garrett Birkhoff and John Von Neumann published one of the most general axiomatic foundations of Quantum Theory, which has become known to this day as “Quantum Logic” (Annals of Mathematics, vol. 37 (1936) 823-843). In this work, they start from an ortho-modular lattice that serves as a model of the partially ordered set of all quantum events. They also found a connection with Projective Geometry. The main case of geometries is on complex numbers, but there are also possibilities for more general division rings, including non-commutative ones. After a brief presentation of these results, I will discuss the connections with finite geometries and the so-called “Quantum Computation”.

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