By Shuang Cong
Advanced study reference interpreting the closed and open quantum systems
Control of Quantum platforms: idea and techniques provides an perception into the trendy methods to manage of quantum platforms evolution, with a spotlight on either closed and open (dissipative) quantum platforms. the subject is well timed protecting the latest learn within the box, and offers and summarizes sensible equipment and addresses the extra theoretical points of keep watch over, that are of excessive present curiosity, yet which aren't lined at this point in different textual content books.
The quantum keep watch over idea and strategies written within the e-book are the result of blend of macro-control concept and microscopic quantum approach good points. because the improvement of the nanotechnology progresses, the quantum regulate thought and techniques proposed this present day are anticipated to be beneficial in genuine quantum structures inside of 5 years. The growth of the quantum regulate concept and techniques will advertise the development and improvement of quantum info, quantum computing, and quantum communication.
Equips readers with the capability theories and complicated ways to clear up current difficulties in quantum optics/information/computing, mesoscopic structures, spin platforms, superconducting units, nano-mechanical units, precision metrology.
Ideal for researchers, teachers and engineers in quantum engineering, quantum computing, quantum info, quantum communique, quantum physics, and quantum chemistry, whose examine pursuits are quantum platforms control.
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Extra info for Control of Quantum Systems: Theory and Methods
The measurement must give either |H⟩ or |V⟩, so the total probability of measuring |H⟩ and |V⟩ must be 1. This leads to a constraint that |????|2 + |????|2 = 1; more generally, the sum of the squared moduli of the probability amplitudes of all the possible states is equal to 1. The wave function that fulfills this constraint is called the normalized wave function. The probability amplitude interprets the physical meaning of the wave function. In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density.
Materny, A. H. (1994) Femtosecond control of an elementary unimolecular reaction from the transition-state region. Chemical Physics Letters, 228(1–3), 15–25. E. et al. (2004) High spectral resolution multiplex CARS spectroscopy using chirped pulses. Chemical Physics Letters, 387(4–6), 436–441. 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.
3. To solve partial differential equations, a time-consuming computation is needed. 4. It is difficult to solve the equation of a controlled system in a non-standard form. 5. The model of a controlled system is less accurate. The parameterized control field in a general form is u(t) = M ∑ am cos(????m t + ????m ), where am , m=1 ????m , and ????m are parameters to be optimized according to the control theory. The most typical problem in a quantum system is to design a set of control functions um (t), m = 1, … , M, to steer the system from its initial state to a desired target one.
Control of Quantum Systems: Theory and Methods by Shuang Cong