Essays about: "non abelian"

Showing result 1 - 5 of 19 essays containing the words non abelian.

  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

  3. 2. Asymptotic Symmetries and Dressed States in QED and QCD

    University essay from Stockholms universitet/Fysikum

    Author : Saimeng Zhou; [2023]
    Keywords : Dressed states; Large gauge transformation; Faddeev-Kulish formalism; Generalized coherent state operator; Wilson line; Infrared divergence; Asymptotic Hamiltonian; QED; QCD;

    Abstract : Infrared divergences arising in theories with massless gauge bosons have been shown to cancel in scattering amplitudes when using dressed states constructed from the Faddeev- Kulish approach to the asymptotic states. It has been established that these states are closely related to asymptotic symmetries of the theory, that is, non-vanishing gauge trans- formations at the asymptotic boundary. READ MORE

  4. 3. Geometric Phases In Weak Measurements

    University essay from Uppsala universitet/Materialteori

    Author : Isabela Dias; [2023]
    Keywords : Geometric phase; Weak measurements; Weak values;

    Abstract : We explore a natural extension of the Abelian geometric phase factor in sequences of incomplete measurements to include high dimensional quantum states in the weak measurement scenario. To achieve the goal, we focus on sequential weak measurements of non-commuting projectors and combine the idea of weak measurements and the notion of a non-Abelian geometric phase. READ MORE

  5. 4. 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

  6. 5. Holonomic Optimal Control for Qudits

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Tomas André; [2022]
    Keywords : ;

    Abstract : Non-adiabatic Holonomic Quantum Computation (NHQC) is a method used to implement quantum gates with holonomies that arise solely from non-Abelian geometric phases. Due to high noise tolerance these phases can be used to construct resiliant quantum gates. READ MORE