SOME CONSTRUCTIONS OF MUTUALLY UNBIASED BASES OVER FINITE FIELDS

Date

2024-2-26

Author

Elmas, Gökhan

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Mutually unbiased bases, as a mathematical concept, has important implications in quantum information theory where the information is encoded as linear combinations of vectors in Hilbert spaces instead of as arrays of digits. Offering a designation on the preparation and measurement of the quantum states, mutually unbiased bases provide mathematics based security to many quantum computation protocols including the famous quantum key distribution protocol named BB84. The construction of mutually unbiased bases, however, is not straight forward and it requires an extensive mathematical approach based on the properties of the finite fields.

Subject Keywords

mutually unbiased bases, quantum computation, Hilbert spaces, bent functions

URI

https://hdl.handle.net/11511/108759

Collections

Graduate School of Applied Mathematics, Thesis