Quantum optimal control theory
By J. Werschnik, Eberhard K. U. Gross. 2007
362 citations recorded by the source corpus.
The control of quantum dynamics via specially tailored laser pulses is a long-standing goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulse-shaping experiments allow us to coherently control product ratios of chemical reactions. The theoretical design of the laser pulse to transfer an initial state to a given final state can be achieved with the help of quantum optimal control theory (QOCT). This tutorial provides an introduction to QOCT. It shows how the control equations defining such an optimal pulse follow from the variation of a properly defined functional. We explain the most successful schemes to solve these control equations and show how to incorporate additional constraints in the pulse design. The algorithms are then applied to simple quantum systems and the obtained pulses are analysed. Besides the traditional final-time control methods, the tutorial also presents an algorithm and an example to handle time-dependent control targets.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/30d32632c0e278735913f87595868e24279934c3
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In Atomic and Molecular Physics, and Optics
- Thomas Schulte-Herbrüggen
- Vadim N. Smelyanskiy
- Simon C. Benjamin
- Ronnie Kosloff
- Zhang Jiang
- Dominique Sugny
- Tommaso Calarco
- Christiane P. Koch
Citations in the corpus
- Quantum algorithms to simulate many-body physics of correlated fermions. (2017, methodology): “Using methods in quantum optimal control [64], one can prepare the desired quantum states by applying sequences of Hamiltonian evolutions to initial states that are easy to prepare.”
- Quantum control theory and applications: A survey (2009, neutral): “ems and applied to search for optimal controls. Optimal control techniques have been widely applied to control quantum phenomena in physical chemistry (for details, see, e.g., [8], [10], [11], [103], [104]) and NMR experiments [38], [39], [77]. Here we present a simple example to demonstrate optimal”
- Bang–bang control of fullerene qubits using ultrafast phase gates (2006, background): “Quantum bang-bang control provides a solution by repeatedly applying ‘kicks’ to a qubit [2, 3], thus disrupting an environmental interaction.”
- Training Schrödinger’s cat: quantum optimal control (2015, background): “Modifications to account for experimental imperfections and limitations and to ensure robustness of the solution have been introduced [167, 180, 218, 237, 283, 335, 383, 391, 438, 445], and numerical optimal control theory has been extended to open quantum systems [22, 128, 145, 190, 365, 368].”