we have the pleasure to invite you to the Particle Theory Seminar on Tuesday,
June 14 at 12:15, which will be given by
Karol Życzkowski (IFT)
“Thirty-six quantum officers of Euler: quantum solution of a classically impossible problem”
Abstract: Negative solution to the famous problem of 36 officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution, provided the ranks and the units of each officer can be entangled, and construct quantum orthogonal Latin squares of this size. The solution can be visualized on a chessboard of size six, which shows that 36 officers are split in nine groups, each containing of four entangled states. This design provides a unique example of extremal quantum state and allows us to construct an original quantum error detection code.
The seminar will be in a hybrid mode, local people are invited to meet in the seminar room D-2-02.