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You searched for subject:(holonomic quantum computation). Showing records 1 – 3 of 3 total matches.

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University of Sydney

1. Williamson, Dominic. Symmetry-protected adiabatic quantum transistors .

Degree: 2014, University of Sydney

The standard circuit model of quantum computation differs in principle from a modern day computer chip in that computation is brought to stationary qubits in the former whereas information is routed spatially across a chip by transistors in the latter. Recently a model was proposed that addresses this key difference in implementation, it was dubbed the adiabatic quantum transistor model to emphasise its similarity to a classical transistor. Here we generalise this model to the setting of spin chains in inherently quantum phases of matter with a property called symmetry-protected order. Our generalisation is significant as it shows the computational properties of the model persist robustly throughout each symmetry-protected quantum phase of matter.

Subjects/Keywords: Quantum computation; Symmetry-protected topological order; Adiabatic quantum computation; Holonomic quantum computation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Williamson, D. (2014). Symmetry-protected adiabatic quantum transistors . (Thesis). University of Sydney. Retrieved from http://hdl.handle.net/2123/13083

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Williamson, Dominic. “Symmetry-protected adiabatic quantum transistors .” 2014. Thesis, University of Sydney. Accessed December 08, 2019. http://hdl.handle.net/2123/13083.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Williamson, Dominic. “Symmetry-protected adiabatic quantum transistors .” 2014. Web. 08 Dec 2019.

Vancouver:

Williamson D. Symmetry-protected adiabatic quantum transistors . [Internet] [Thesis]. University of Sydney; 2014. [cited 2019 Dec 08]. Available from: http://hdl.handle.net/2123/13083.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Williamson D. Symmetry-protected adiabatic quantum transistors . [Thesis]. University of Sydney; 2014. Available from: http://hdl.handle.net/2123/13083

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Southern California

2. Oreshkov, Ognyan. Topics in quantum information and the theory of open quantum systems.

Degree: PhD, Physics, 2008, University of Southern California

This thesis examines seven topics in quantum information and the theory of open quantum systems. The first one concerns weak measurements and their universality as a means of generating quantum measurements. It is shown that every generalized measurement can be decomposed into a sequence of weak measurements which allows us to think of measurements as resulting form continuous stochastic processes. The second topic concerns an application of the decomposition into weak measurements to the theory of entanglement. Necessary and sufficient differential conditions for entanglement monotones are derived, and are used tofind a new entanglement monotone for three-qubit states. The third topic examines the performance of different master equations for the description of non-Markovian dynamics. The system studied is a qubit coupled to a spin bath via the Ising interaction. The fourthtopic studies continuous quantum error-correction in the case of non-Markovian decoherence. It is shown that due to the existence of a Zeno regime in non-Markovian dynamics, the performance of continuous quantum error correction may exhibit a quadratic improvement if the time resolution of the error-correcting operations is sufficiently high.; The fifth topic concerns conditions for correctability of subsystem codes in the case of continuous decoherence. The obtained conditions on the Lindbladian and the system-environment Hamiltonian can be thought of as generalizations of the previously known conditions for noiseless sub-systems to the case where the subsystem is time-dependent. The sixth topic examines the robustness of quantum error-correcting codes against initialization errors. It is shown that operator codes are robust against imperfect initialization without the need for restriction of the standard error-correction conditions. For this purpose, a new measure of fidelity for encoded information is introduced and its properties are discussed. The last topic concerns holonomic quantum computation and stabilizer codes. A fault-tolerant scheme for holonomic computations is presented, demonstrating the scalability of the holonomic method. The scheme opens the possibility for combining the benefits of error correction with the inherent resilience of the holonomic approach. Advisors/Committee Members: Brun, Todd A. (Committee Chair), Lidar, Daniel (Committee Member), Zanardi, Paolo (Committee Member), Haas, Stephan (Committee Member), Dappen, Werner (Committee Member).

Subjects/Keywords: weak measurements; entanglement; non-Markovian dynamics; continuous quantum error correction; operator quantum error correction; holonomic quantum computation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Oreshkov, O. (2008). Topics in quantum information and the theory of open quantum systems. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/67313/rec/7504

Chicago Manual of Style (16th Edition):

Oreshkov, Ognyan. “Topics in quantum information and the theory of open quantum systems.” 2008. Doctoral Dissertation, University of Southern California. Accessed December 08, 2019. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/67313/rec/7504.

MLA Handbook (7th Edition):

Oreshkov, Ognyan. “Topics in quantum information and the theory of open quantum systems.” 2008. Web. 08 Dec 2019.

Vancouver:

Oreshkov O. Topics in quantum information and the theory of open quantum systems. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2019 Dec 08]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/67313/rec/7504.

Council of Science Editors:

Oreshkov O. Topics in quantum information and the theory of open quantum systems. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/67313/rec/7504

3. Knut Bakke Filho. Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos.

Degree: 2009, Universidade Federal da Paraíba

Neste trabalho estudamos inicialmente o surgimento de fases geometricas nas dinâmicas quânticas relativística e não-relativística de uma partícula neutra que possui momento de dipolo magnético e elétrico permanente interagindo com campos elétricos e magnéticos externos na presença de defeitos topológicos lineares. Para descrevermos defeitos topológicos lineares usamos a aproximação proposta por Katanaev e Volovich, onde defeitos lineares em sólidos são descritos por elementos de linha que são soluções das equações de Einstein no contexto da relatividade geral. Analisamos também a inuência de efeitos não-inerciais na dinâmica quântica de uma partícula neutra em dois tipos distintos de referenciais para os observadores: um é o referencial de Fermi-Walker e outro é um referencial girante. Vemos que a diferença entre dois referenciais está na presença/ausência de efeitos de arrasto do espaço-tempo que irá influenciar diretamente na mudança de fase na funçãao de onda da partícula neutra. Em seguida, usamos nosso estudo de fases geométricas para fazer aplicações na Computação Quântica Holonômica onde mostramos uma nova maneira de implementar a Computação Quântica Holonômica através da interação entre momentos de dipolo e campos externos e pela presença de defeitos topológicos lineares. Outra aplicação para a Computação Quântica Holonômica está baseada na estrutura de defeitos topológicos em um material chamado grafeno. Na presença de defeitos topológicos lineares, esse material apresenta duas fases quânticas de origens distintas: uma da mistura dos pontos de Fermi e outra da topologia do defeito. Para dar uma descrição geométrica para a origem de cada fase no grafeno usamos a Teoria de Kaluza-Klein, onde a dimensão extra sugerida por esta teoria descreve os pontos de Fermi no grafeno. Portanto, a implementação da Computação Quântica Holonômica no grafeno está baseada na possibilidade de construir cones e anticones de grafite de tal maneira que se possa controlar os fluxos quânticos no grafeno. Na última parte deste trabalho estudamos a quantização de Landau para partículas neutras tanto na dinâmica não-relativística quanto na dinâmica relativística. Na dinâmica não-relativítica, estudamos a quantização de Landau na presença de defeitos em um referecial inercial e, em seguida, em um referencial nãoo-inercial. Na dinâmica relativística, estudamos inicialmente a quantização de Landau no espaço-tempo plano em duas configurações de campos diferentes. Por fim, estudamos a quantização de Landau relativística para partículas neutras no espaço-tempo da deslocação cósmica. Advisors/Committee Members: Claudio Benedito Silva Furtado.

Subjects/Keywords: FISICA; Defeitos topológicos; Fases geométricas; Espaço-tempo curvo; Espaço-tempo curvo e com torção; Computação quântica holonômica; Quantização de Landau; Efeito Aharonov-Casher; Efeito He-McKellar-Wilkens; Efeito Mashhoon; Efeito Sagnac; Geometric phases; Topological defects; Curved spacetime; cuverd spacetime with torsion field; Holonomic quantum computation; graphene; Kaluza-Klein Theory; Landau quantization; Aharonov- Casher efect; He-McKellar-Wilkens efect; Mashhoon efect; Sagnac efect; Anandan quantum phases; local reference frame; Fermi-Walker reference frame; rotating frames; Dirac equation; Foldy-Wouthuyssen approach; spinors

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Filho, K. B. (2009). Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos. (Thesis). Universidade Federal da Paraíba. Retrieved from http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=429

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Filho, Knut Bakke. “Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos.” 2009. Thesis, Universidade Federal da Paraíba. Accessed December 08, 2019. http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=429.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Filho, Knut Bakke. “Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos.” 2009. Web. 08 Dec 2019.

Vancouver:

Filho KB. Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos. [Internet] [Thesis]. Universidade Federal da Paraíba; 2009. [cited 2019 Dec 08]. Available from: http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=429.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Filho KB. Fases Geométricas, Quantização de Landau e Computação Quâantica Holonômica para Partículas Neutras na Presença de Defeitos Topológicos. [Thesis]. Universidade Federal da Paraíba; 2009. Available from: http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=429

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.