Control of Quantum Systems: Theory and Methods by Shuang Cong

By Shuang Cong

Advanced examine reference reading the closed and open quantum systems

Control of Quantum structures: concept and strategies provides an perception into the fashionable methods to regulate of quantum platforms evolution, with a spotlight on either closed and open (dissipative) quantum structures. the subject is well timed overlaying the latest learn within the box, and provides and summarizes sensible equipment and addresses the extra theoretical facets of keep watch over, that are of excessive present curiosity, yet which aren't coated at this point in different textual content books.

The quantum keep watch over thought and techniques written within the ebook are the result of mix of macro-control conception and microscopic quantum approach positive factors. because the improvement of the nanotechnology progresses, the quantum regulate idea and strategies proposed this present day are anticipated to be precious in actual quantum structures inside of 5 years. The growth of the quantum regulate thought and techniques will advertise the growth and improvement of quantum details, quantum computing, and quantum communication.

Equips readers with the capability theories and complex how you can remedy present difficulties in quantum optics/information/computing, mesoscopic platforms, spin platforms, superconducting units, nano-mechanical units, precision metrology.

Ideal for researchers, teachers and engineers in quantum engineering, quantum computing, quantum details, quantum communique, quantum physics, and quantum chemistry, whose examine pursuits are quantum structures control.

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Kuang, S. and Cong, S. (2008) Lyapunov control methods of closed quantum systems. Automatica, 44(1), 98–108. Mabuchi, H. and Khaneja, N. (2005) Principles and applications of control in quantum systems. International Journal of Robust and Nonlinear Control, 15(15), 647–667. , Sobotta, C. et al. (2005) Chirp dependence of wave packet motion in oxazine 1. Journal of Physical Chemistry A, 109(46), 10488–10492. , Intravaia, F. et al. (2004) Lindblad- and non-Lindblad-type dynamics of a quantum Brownian particle.

For the diagonal Lyapunov function, the construction and adjustment principles of diagonal elements are presented. The initial state is also considered. A necessary and sufficient convergence condition is introduced and strict proof of convergence will be presented. For the case where the convergence condition is not satisfied, a path programming the control strategy of the quantum state transfer is presented to solve the problem. Quantum control systems that do not satisfied the necessary and sufficient convergence conditions are called non-degenerate cases.

1 Probability A quantum system can be in two possible states, for example the polarization of a photon. When the polarization is measured, it could be horizontal, labeled as state |H⟩, or vertical, labeled state |V⟩. Until its polarization is measured, the photon can be in a superposition of both these states, so its wave function |????⟩ would be written: |????⟩ = ????|H⟩ + ????|V⟩ The probability amplitudes of states |H⟩ and |V⟩ are ???? and ????, respectively. When the photon’s polarization is measured, the system is horizontally polarized with probability |????|2 and vertically polarized with probability |????|2 .

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