By Shuang Cong
Advanced learn reference reading the closed and open quantum systems
Control of Quantum structures: idea and techniques provides an perception into the fashionable techniques to manage of quantum structures evolution, with a spotlight on either closed and open (dissipative) quantum platforms. the subject is well timed masking the most recent learn within the box, and offers and summarizes useful equipment and addresses the extra theoretical facets of keep an eye on, that are of excessive present curiosity, yet which aren't lined at this point in different textual content books.
The quantum keep watch over conception and techniques written within the booklet are the result of mix of macro-control thought and microscopic quantum procedure positive factors. because the improvement of the nanotechnology progresses, the quantum regulate idea and strategies proposed at the present time are anticipated to be worthwhile in actual quantum structures inside of 5 years. The development of the quantum keep watch over idea and techniques will advertise the development and improvement of quantum details, quantum computing, and quantum communication.
Equips readers with the capability theories and complicated the way to clear up current difficulties in quantum optics/information/computing, mesoscopic platforms, spin structures, superconducting units, nano-mechanical units, precision metrology.
Ideal for researchers, lecturers and engineers in quantum engineering, quantum computing, quantum info, quantum communique, quantum physics, and quantum chemistry, whose study pursuits are quantum platforms control.
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Additional info for Control of Quantum Systems: Theory and Methods
Example text
The advantage of the Lyapunov-based method is that control law can be obtained directly from the Lyapunov indirect stability theorem without iterations from the solution of partial differential equations, which makes it possible to realize rapid quantum control. The main shortcoming of the Lyapunov-based method is that it is usually only a stable control method, not a convergent control method. A given target state requires the control system to be convergent to guarantee that the system achieves the desired target state.
Lyapunov-based control methods are powerful tools for feedback controller design in classical control theory (Dong and Petersen, 2010). In quantum control, the acquisition of feedback information through measurements usually destroys the state being measured, which makes it difficult to directly apply Lyapunov approaches to quantum feedback controller design. However, one may first complete the feedback control design by simulation on a computer, which will give a sequence of controls, then apply the control sequence to the quantum system to be controlled in an open-loop form (Mirrahimi, Rouchon, and Turinici, 2005; Kuang and Cong, 2008).
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. For unitary evolution in a Hamiltonian system, the frequency spectrum of ????(t) is time-independent or Tr[????n (t)] = Tr[????n0 (t)], ∀n ∈ 1, … , N. That is to say, to make sure the target state ????f is achievable, the same frequency spectrum (or entropy) is used for both ????0 and ????f . The system is controllable for its density matrix.