Transversal Diagonal Logical Operators of Stabiliser Codes

Watch a technical conference talk from TQC 2023 exploring fault-tolerant quantum computing through transversal diagonal logical operators in stabilizer codes. Delve into the implementation of logical Pauli group operators on Calderbank-Shor-Steane (CSS) codes using physical Pauli X and Z gates, while examining algorithms for identifying transversal diagonal logical operators. Learn about methods for constructing CSS codes with desired diagonal logical Clifford hierarchy operators using single qubit phase gates, and discover how representing operators as diagonal XP operators can enhance fault tolerance in quantum error correction. Follow along as Mark Webster presents research findings on storing and transforming quantum information, demonstrating practical applications through examples like the 422 code and exploring the relationship between the Clifford hierarchy and quantum computing universality.