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Geometry of quantum computations /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Giorgadze, Gia (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hauppauge], New York : Nova Publishers, [2013]
Colección:Computational mathematics and analysis series
Mathematics research developments
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Giorgadze, Gia,  |e author. 
245 1 0 |a Geometry of quantum computations /  |c Gia Giorgadze. 
264 1 |a [Hauppauge], New York :  |b Nova Publishers,  |c [2013] 
300 |a 1 online resource (ix, 177 pages). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Computational mathematics and analysis series 
490 0 |a Mathematics research developments 
504 |a Includes bibliographical references (pages 165-174) and index. 
588 0 |a Print version record. 
505 0 |a GEOMETRY OF QUANTUM COMPUTATION ; GEOMETRY OF QUANTUM COMPUTATION ; Contents; Preface; Basics of Quantum Computation; 1.1. The Space of Quantum Bits; 1.2. Logical Gates for Quantum Computer; 1.3 .Construction of Single Qubit Gates; 1.4. The Entangled Operator; 1.5. Geometric Character for Quantum Computing; 1.5.1. Adiabatic Theorem; 1.5.2. Holonomy and Monodromy Operators; Quantum Computers Based on Exactly Solvable Models and Geometric Phases; 2.1. Construction of a Time-Dependent Hamiltonian; 2.2. Geometric Phases; 2.3. Construction of an Universal Set of Gates. 
505 8 |a Quantum Processor Based on the Three-Level Quantum System3.1. Atom-photon Interactions Hamiltonian; 3.2. Simpli cation of Atom-Photon Interactions Hamiltonian; 3.2.1. Selection the Real Transitions and Rotating Wave Approximation; 3.2.2. Interaction Representation; 3.3. The Quantum Dynamics of a Three-Level Atom; 3.4. Calculation of the Time Evolution Operator and Unitary Transformations; 3.5. Probability Amplitude Method; 3.6. Control of Three-Leve lQuantum System; Methods of Geometric Control Theory for Quantum Computations; 4.1.Basic Notation from Geometric Control Theory. 
505 8 |a 4.1.1. Dynamical Polysystems and Control Group4.1.2. The Structure of an Orbit o fDynamical Polysystem; 4.1.3. Control System and Accessibility Problem; 4.1.4. Two Notions of Controllability; 4.2. Control Systems on Lie Groups; 4.2.1. Homogeneous and Af ne Cases; 4.2.2. Control system on Compact Lie Group with Continuous Hamiltonian; 4.2.3. Minimal Set of Generators for su(n); 4.3. Recursive Construction o fQuantum Gates; 4.4. Vector Bundle with Connection on Grassmann Manifold; 4.4.1. The Differential Structure on Complex Grassmann Manifold. 
505 8 |a 5.1. Fuchsian System and Vector Bundle on the Riemann Sphere5.2. Schr odinger Equations and Fuchsian Systems; 5.3. Monodromy Approach to Quantum Computing; 5.4. Scattering Matrices as the Gates for Quantum Computer; 5.4.1. Scattering on the Line and Universal Gates; 5.4.2. Two-Level System in Electric Field; 5.4.3. The Fuchsian Systems Monodromy and S-Matrix; 5.5. Quantum Monodromy; References; Index. 
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650 0 |a Geometry  |x Data processing. 
650 0 |a Quantum theory  |x Mathematics. 
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650 6 |a Théorie quantique  |x Mathématiques. 
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650 7 |a Quantum computers  |2 fast 
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