Introduction to Quantum Control and DynamicsThe introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental ph |
Contents
Quantum Mechanics | 1 |
Modeling of Quantum Control Systems Examples | 35 |
Controllability | 75 |
Observability and State Determination | 107 |
Lie Group Decompositions and Control | 123 |
Optimal Control of Quantum Systems | 157 |
More Tools for Quantum Control | 191 |
Analysis of Quantum Evolutions Entanglement Entanglement Measures and Dynamics | 217 |
Positive and Completely Positive Maps Quantum Operations and Generalized Measurement Theory | 287 |
Lagrangian and Hamiltonian Formalism in Classical Electrodynamics | 291 |
Cartan Semisimplicity Criterion and Calculation of the Levi Decomposition | 305 |
Proof of the Controllability Test of Theorem 321 | 309 |
The BakerCampbellHausdorff Formula and Some Exponential Formulas | 315 |
Proof of Theorem 621 | 317 |
| 321 | |
| 337 | |
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Common terms and phrases
adiabatic algorithm angular momentum applied associated assume bipartite calculate called Cartan decomposition Cartan involution Cartan subalgebra Chapter commutation components conjugate Consider control problem corresponding coset defined definition degrees of freedom denoted density matrix described diagonal differential equation dimension dimensional dynamical Lie algebra eigenstate eigenvalues eigenvector elements energy levels ensemble equal equivalent evolution example Exercise external field fact finite formula frequency function given gives Hamiltonian Hermitian operator Hilbert space identity initial condition interaction invariant isomorphic j-th Lagrangian Lie group Lie group decompositions linear operator Lyapunov magnetic field multipartite observable obtain optimal control orbit parameters partial trace particles particular positive Proposition pure quantum control systems quantum mechanical quantum systems qubits result satisfies Schrödinger equation so(n solution spanned spin su(n subsection symmetry tensor product Theorem theory trajectory transformation variables zero
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