Coverart for item
The Resource Geometry of quantum computations, Gia Giorgadze

Geometry of quantum computations, Gia Giorgadze

Label
Geometry of quantum computations
Title
Geometry of quantum computations
Statement of responsibility
Gia Giorgadze
Creator
Author
Subject
Genre
Language
eng
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Giorgadze, Gia
Dewey number
530.12
Index
index present
LC call number
QA448.D38
LC item number
G56 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Computational mathematics and analysis series
  • Mathematics research developments
http://library.link/vocab/subjectName
  • Quantum computers
  • Geometry
  • Quantum theory
  • SCIENCE
  • Geometry
  • Quantum computers
  • Quantum theory
Label
Geometry of quantum computations, Gia Giorgadze
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 165-174) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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
  • 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
  • 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
Control code
846551606
Dimensions
unknown
Extent
1 online resource (ix, 177 pages).
Form of item
online
Isbn
9781622573967
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)846551606
Label
Geometry of quantum computations, Gia Giorgadze
Publication
Bibliography note
Includes bibliographical references (pages 165-174) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • 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
  • 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
  • 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
Control code
846551606
Dimensions
unknown
Extent
1 online resource (ix, 177 pages).
Form of item
online
Isbn
9781622573967
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)846551606

Library Locations

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      38.710138 -90.311107
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