Control of Quantum Systems: Theory and Methods by Shuang Cong

By Shuang Cong

Advanced study reference interpreting the closed and open quantum systems

Control of Quantum platforms: thought and techniques provides an perception into the fashionable ways to manage of quantum structures evolution, with a spotlight on either closed and open (dissipative) quantum structures. the subject is well timed overlaying the latest examine within the box, and provides and summarizes useful equipment and addresses the extra theoretical features of regulate, that are of excessive present curiosity, yet which aren't coated at this point in different textual content books.

The quantum regulate concept and strategies written within the ebook are the result of mix of macro-control conception and microscopic quantum method gains. because the improvement of the nanotechnology progresses, the quantum regulate thought and techniques proposed at the present time are anticipated to be precious in actual quantum structures inside of 5 years. The growth of the quantum regulate thought and strategies will advertise the growth and improvement of quantum details, quantum computing, and quantum communication.

Equips readers with the capability theories and complex tips on how to remedy present 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 details, quantum communique, quantum physics, and quantum chemistry, whose learn pursuits are quantum platforms control.

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Sample text

The space to be searched for optimization is always infinite: it can be defined in either a finite [0, tf ] or an infinite [0, ∞) interval. In practice, one way to reduce optimization space is to obtain a finite-dimensional solution with control parameters that is the most common one and can be realized by means of smoothing constant function approximation. 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.

The first term of the time evolution describes the standard coherent two-level dynamics and the last term accounts for the gain and the damping mechanism. 15) ???? = [Fi Fi ???? + ????Fi† Fi − 2Fi ????Fi† ] where Fi and Fi+ form a collection of generalized atomic creation and annihilation operators characteristic for a particular problem. The Lindblad form of the master equation guarantees that the interaction with the damping reservoir preserves the positivity of the density operator. In realistic setups, the qubit is usually exposed to a noisy channel leading to the decoherence of quantum information.

1. 1 Presentation of qubit on the Bloch sphere State Transfer and Analysis of Quantum Systems on the Bloch Sphere 23 A qubit can be any point on the surface of this sphere. It can therefore hold an infinite amount of information. However, this actually is not the case because a qubit collapses to either |0⟩ or |1⟩ after being measured. Measurements are possible in something other than the computational basis. In terms of the Bloch sphere, the usual measurement operator described really measures zero for “up” and one for “down,” but it could just as easily measure “left” and “right” (along the y-axis).

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