Optimal diagonal qutrit gates for creating Wigner negativity

DOI10.1016/j.physleta.2022.128620OpenAlexW4313593355MaRDI QIDQ2678810

Shun Long Luo, Xiao-Hui Li

Publication date: 24 January 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2022.128620

zbMATH Keywords

Clifford groupstabilizer formalismdiagonal gatesqutrit \(T\)-gateWigner negativity

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• The negativity of Wigner function as a measure of quantum correlations
• Negativity bounds for Weyl-Heisenberg quasiprobability representations
• Constructing all qutrit controlled Clifford+\(T\) gates in Clifford+\(T\)
• Detecting magic states via characteristic functions
• Canonical forms for single-qutrit Clifford+\(T\) operators
• Quantum Computation and Quantum Information
• Universal quantum computation with ideal Clifford gates and noisy ancillas
• Discrete phase space based on finite fields
• Negativity and Contextuality are Equivalent Notions of Nonclassicality
• The resource theory of stabilizer quantum computation
• Hudson’s theorem for finite-dimensional quantum systems
• Classicality of spin states
• Qutrit magic state distillation
• Negative quasi-probability as a resource for quantum computation
• T-Count Optimization and Reed–Muller Codes
• Universal quantum computation with metaplectic anyons
• Quantum Error-Correcting Codes for Qudit Amplitude Damping

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