36 entangled officers of Euler: A quantum solution to a classically impossible problem

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Speaker

Arul Lakshminarayan (IIT Madras, Chennai)

Date & Time

Mon, 06 June 2022, 15:30 to 17:00

Venue

Online and Madhava Lecture Hall

Resources

Abstract

The 36 officers problem of Euler is a well-known impossible classical combinatorial puzzle and involves orthogonal Latin squares akin to the popular game of Sudoku. I will discuss the history around this and show how a natural quantum construction of orthogonal Latin squares leads to solutions that are classically impossible. The solutions lead to constructions of so-called absolutely maximally entangled states that are of relevance to quantum information and many-body physics.