Importance of Mutually Unbiased Bases in Quantum Information

• Grant number: 24/07740-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2024
• End date: June 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Breno Marques Goncalves Teixeira
• Grantee: Mariana Gonzalez Veiga
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 21/14303-1 - Photonic chips to implement quantum information protocols, AP.JP

Abstract

The aspect that differentiate a quantum system and a classical system allow us to thinkof many applications in information theory. The quantum information and quantum communication study how to use quantum systems to implement information processes. Theydo not substitute the actual technology, but open new possibilities how to manipulate information. Many of this protocols are based on preparation and measurement in mutuallyunbiased bases (MUB). In this work we will study the characteristic of the MUB and findinteresting implementation possibilities in photonic chips, spatially for d-level quantumsystems.