Wisconsin Quantum Institute

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Events on Tuesday, April 26th, 2022

IQUIST seminar: Qubit symmetries, combinatorial designs, and a rainbow of four basic colors: Common Patterns
Time: 11:00 am - 12:00 pm
Speaker: A. Ravi P. Rau, Louisiana State University
Abstract: A recreational puzzle posed 175 years ago of 15 schoolgirls to walk three abreast to school for seven days of the week so that no girl sees a friend repeated in her row has links to many areas of mathematics: combinatorics, finite projective geometries, design and coding theory, etc. A link can also be made to states and operators of two qubits in today's quantum information, those Lie algebras and groups also providing a systematic way to get the required arrangements of the girls. These patterns can be further linked to four-color vision and analogs in acoustics. They may be useful for

manipulating states and operators of a pair of qubits, with generalization also to multiple qubits. The Bloch Sphere is a well-known and very useful geometrical picture of a single qubit. Similar geometries and pictures will be discussed for two or more qubits. This will be an easily accessible pedagogical presentation, also to students, undergraduate and graduate.
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