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About the Lecture More than 2 centuries ago, Euler solved and generalized a puzzle supposedly posed by Queen Catherine I of Russia concerning arrangements called orthogonal Latin squares, very similar to the modern Sudoku. While clear that such arrangements are not possible for 2X2 squares, he conjectured that they do not exist in squares of sizes 6, 10,14, and so on. In 1900, the case of 6 was shown to be correct while every other case was shown to be false by two Indian mathematicians in the 1950's. There has been a recent realization that special classes of states in quantum physics, called absolutely maximally entangled states are related to such arrangements. It was then an open problem if the case of 6 has a `"quantum solution". We recently showed that this was indeed the case and that quantum versions of Euler's 36 officers can have satisfy the constraints of a quantum orthogonal Latin square.
Introduction
Arul Lakshminarayan
Professor & Head, Department of Physics, IIT Madras. Chennai
The 36 officers of Euler: From puzzle to quantum physics
Q & A
Prof. Arul Lakshminarayan Professor at the Indian Institute of Technology Madras, in the Department of Physics. A theoretical physicist, research interests are in dynamical systems, especially Hamiltonian and quantum chaotic systems, quantum information, especially entanglement, many-body physics and thermalization, random matrix theory and its applications.