Perturbation Theory for Solid-state Quantum Computation With Many Quantum Bits
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Perturbation Theory for Solid-state Quantum Computation With Many Quantum Bits by Gennady P. Berman

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Published by Rinton Press .
Written in English


  • Non-Classifiable,
  • Engineering - General,
  • Technology,
  • Nonfiction - General,
  • Perturbation (Quantum dynamics),
  • Quantum computers,
  • Science/Mathematics

Book details:

The Physical Object
Number of Pages224
ID Numbers
Open LibraryOL12365712M
ISBN 101589490517
ISBN 109781589490512

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Author of Introduction to Quantum Computers, Perturbation Theory for Solid-State Quantum Computation with Many Quantum Bits, and Crossover-Time in Quantum Boson and Spin Systems/5. Time-dependent perturbation theory Review of interaction picture Dyson series Fermi’s Golden Rule. Time-independent perturbation. theory. Because of the complexity of many physical problems, very few can be solved exactly (unless they involve only small Hilbert spaces).File Size: KB. of Quantum Logic Operations witha Large Number of Qubits G. P. Berman1, G. D. Doolen1, D. I. Kamenev1, G. V. Lo´pez2, and V. I. Tsifrinovich3 Abstract. The perturbation theory is developed based on small parameters which naturally appear in solid state quantum computation. We report the. In addition, multiple uses of (higher-order) perturbation theory lead to Hamiltonians with undesirable qubit overhead and complexity. Consequently, existing models of Hamiltonian quantum computation based on pairwise qubit interactions are not particularly suitable for physical implementation using, e.g., solid-state quantum information processors.

Time-dependent perturbation theory Literature Perturbation theory Quantum mechanics 2 - Lecture 2 Igor Luka cevi c UJJS, Dept. of Physics, Osijek listopada Igor Luka cevi c Perturbation theory. Contents Time-independent nondegenerate perturbation theory. Quantum Mechanics Lecture Notes by Joel Franklin. This lecture note explains the following topics: Schrodinger’s Equation, Piecewise Potentials, Linear Algebra and Function Space, Angular Momentum and Spin, Multiple Particles, Perturbation Theory – Fine Structure, Time Dependent Perturbation Theory, Relativistic Quantum Mechanics: The Dirac Equation. It is intended for master students and requires knowledge of quantum mechanics at an advanced undergraduate level, as well as familiarity with basic concepts of solid-state physics. Approximately half ot the lecture material is based on the book "Many-body quantum theory in condensed matter physics" by H. Bruus and K. Flensberg, while the rest. Overview of classical complexity theory, quantum complexity, efficient quantum algorithms, fault-tolerant quantum computation, physical implementations of quantum computation. Part c not offered in Instructors: Preskill, Kitaev.

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak disturbance to the system. class of problems related to quantum information theory, including aspects of clas-sical and quantum cryptography, as well as the computational complexity theory and quantum algorithms. On the another hand, when it comes to the realization of quantum computers in the applications of topological theory . Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits M. Merkli,1 G. P. Berman,2 and I. M. Sigal3 1 Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NF, Canada A1C 5S7 2 Theoretical Division, MS B, Los Alamos National Laboratory, Los Alamos, NM , USA. A bit unusual for a physics book, but that's their style. The rest of the book deals with the usual and other material: zero-temperature Green's functions and perturbation theory (for energy, Green's function, etc.) The treatment is detailed and relatively exhaustive. Then there is Reviews: