Essays about: "non-abelian systems"

Found 4 essays containing the words non-abelian systems.

  1. 1. Robust non-Abelian geometric phases on three-qubit spin codes

    University essay from Uppsala universitet/Materialteori

    Author : Parham Azish; [2024]
    Keywords : Quantum information theory; Holonomic quantum computing; non-abelian systems;

    Abstract : Quantum holonomies are non-Abelian Geometric Phases predominantly observed in adiabatic, non-adiabatic, or measurement-based quantum evolutions. Their significance lies in their potential utility within quantum computing due to their robustness against noise throughout the parameter path. READ MORE

  2. 2. Time-optimal holonomic quantum computation

    University essay from Uppsala universitet/Materialteori

    Author : Gabriel O. Alves; [2022]
    Keywords : Holonomic quantum computation; Open quantum systems; Non-adiabatic quantum gate; Geometrical phase;

    Abstract : A three-level system can be used in a Λ-type configuration in order to construct auniversal set of non-adiabatic quantum gates through the use of non-Abelian non-adiabatic geometrical phases. Such construction allows for high-speed operation times which diminish the effects of decoherence. READ MORE

  3. 3. Studies on Reverse Engineering of Constant Frequence Geometric Quantum Gates

    University essay from Uppsala universitet/Materialteori

    Author : Wu Zijin; [2022]
    Keywords : ;

    Abstract : Geometric Quantum Computation (GQC) is one of the effective methods to realizequantum computation. By using geometric phases, it shows robustness to certainerrors. This thesis aims to develop a new systematic technique for implementing GQC,especially in non-adiabatic systems. READ MORE

  4. 4. Non-abelian braiding in abelian lattice models from lattice dislocations

    University essay from Institutionen för ingenjörsvetenskap och fysik

    Author : Mattias Flygare; [2014]
    Keywords : Topological order; Topological degeneracy; Ground state degeneracy; Quantum computer; Fault-tolerant quantum computation; Lattice model; Lattice dislocations; Toric code; Non-abelian anyons; Braiding;

    Abstract : Topological order is a new field of research involving exotic physics. Among other things it has been suggested as a means for realising fault-tolerant quantum computation. Topological degeneracy, i.e. READ MORE