Universal quantum computation with metaplectic anyons

DOI10.1063/1.4914941zbMath1308.81056arXiv1405.7778OpenAlexW3100121514MaRDI QIDQ5245228

Zhenghan Wang, Shawn Xingshan Cui

Publication date: 7 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7778

Mathematics Subject Classification ID

Quantum computation (81P68) Other elementary particle theory in quantum theory (81V25) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (14)

Topological quantum computation within the anyonic system the Kauffman-Jones version of \(SU(2)\) Chern-Simons theory at level 4 ⋮ Ternary logic design in topological quantum computing ⋮ Classification of metaplectic modular categories ⋮ Qubit representations of the braid groups from generalized Yang-Baxter matrices ⋮ \(\ell_1\)-norm and entanglement in screening out braiding from Yang-Baxter equation associated with \(\mathbb{Z}_3\) parafermion ⋮ Optimal diagonal qutrit gates for creating Wigner negativity ⋮ The Qudit ZH-Calculus: Generalised Toffoli+Hadamard and Universality ⋮ On the classification of weakly integral modular categories ⋮ Protocol for making a 2-qutrit entangling gate in the Kauffman-Jones version of \(\mathrm{SU}(2)_4\) ⋮ Unnamed Item ⋮ On acyclic anyon models ⋮ Mathematics of topological quantum computing ⋮ Constructing all qutrit controlled Clifford+\(T\) gates in Clifford+\(T\) ⋮ The search for leakage-free entangling Fibonacci braiding gates

Cites Work

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• A finiteness property for braided fusion categories
• A modular functor which is universal for quantum computation
• On metaplectic modular categories and their applications
• Quantum Computation and Quantum Information
• Fault-Tolerant Quantum Computation with Constant Error Rate
• Quantum computations: algorithms and error correction
• Interferometry versus projective measurement of anyons
• Finite and Disconnected Subgroups of SU3 and their Application to the Elementary-Particle Spectrum
• Finite Unitary Reflection Groups

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