Anyons from nonsolvable finite groups are sufficient for universal quantum computation

Journal Article · Sat Feb 01 00:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.022315· OSTI ID:20633695

Mochon, Carlos ^[1]

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1. Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States)

We present a constructive proof that anyonic magnetic charges with fluxes in a nonsolvable finite group can perform universal quantum computations. The gates are built out of the elementary operations of braiding, fusion, and vacuum pair creation, supplemented by a reservoir of ancillas of known flux. Procedures for building the ancilla reservoir and for correcting leakage are also described. Finally, a universal qudit gate set, which is ideally suited for anyons, is presented. The gate set consists of classical computation supplemented by measurements of the X operator.

• OSTI ID: 20633695
• Journal Information: Physical Review. A, Vol. 67, Issue 2; Other Information: DOI: 10.1103/PhysRevA.67.022315; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANYONS
INFORMATION THEORY
MAGNETISM
PAIR PRODUCTION
QUANTUM MECHANICS
QUANTUM OPERATORS