The 36 officers of Euler: From puzzle to quantum physics


Venue: Ramanujam Audititorium,
The Institute of Mathematical Sciences,
Taramani, Chennai

November 19, 2022
4:00 pm - 06:00 pm

Organised by Tamil Nadu Science Forum

About Program







This is part of its efforts to popularize science to the general public and students who are pursuing science as their career. TNSF attempt to focus on students on higher science as everyone knows that learning of science at college within the curriculum is not enough to acquire holistic knowledge of science at the appropriate time. Hence, to fill the gap between what students are acquiring through the curriculum and what it is required, TNSF is planning its activities on higher science to students who are pursuing higher education.



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.

இரு நூற்றாண்டுகளுக்கு முன்பு, ஆய்லர் ரஷ்யாவின் ராணி கேத்தரின் I ஆல் முன்வைக்கப்பட்டதாகக் கூறப்படும் ஒரு புதிரைத் தீர்த்து பொதுமைப்படுத்தினார். ஆர்த்தோகனல் லத்தீன் சதுரங்கள் எனப்படும் ஏற்பாடுகள் நவீன சுடோகுவை மிகவும் ஒத்திருக்கிறது.

SCHEDULE

Time: 4:00 pm to 6:00 pm - November 19, 2022

Attendenace Registration starts at 3:30 pm

4:00 pm

Introduction

4:15 pm

Arul Lakshminarayan
Professor & Head, Department of Physics, IIT Madras. Chennai

The 36 officers of Euler: From puzzle to quantum physics

05:15 pm

Q & A

Speaker

Prof. Arul Lakshminarayan

Prof. Arul Lakshminarayan

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.

Venue

The Institute of Mathematical Sciences,
IV Cross Road, CIT Campus Taramani
Chennai 600 113

Call

+91 9176512565

Email us

tamilnadutnsfchennai@gmail.com

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