Quantum optimal control using the adjoint method

• Autorzy: Alfio Borzì
• Języki publikacji: EN

Abstrakty

EN

Control of quantum systems is central in a variety of present and perspective applications ranging from quantum optics and quantum chemistry to semiconductor nanostructures, including the emerging fields of quantum computation and quantum communication. In this paper, a review of recent developments in the field of optimal control of quantum systems is given with a focus on adjoint methods and their numerical implementation. In addition, the issues of exact controllability and optimal control are discussed for finite- and infinitedimensional quantum systems. Some insight is provided considering ’two-level’ models. This work is completed with an outlook to future developments.

Słowa kluczowe

EN

Quantum systems; Schrödinger equation; Optimal control theory; Numerical optimization

Kategorie tematyczne

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 82.37.Gk: STM and AFM manipulations of a single molecule(for atom manipulation see 37.10.Gh, Pq in atomic and molecular physics; see also 81.16.Ta Atom manipulation in methods of nanofabrication and processing; 87.80.Nj Single-molecule techniques in biological physics)
• 32.80.Qk: Coherent control of atomic interactions with photons
• 82.53.-k: Femtochemistry[see also 78.47.J-; Ultrafast spectroscopy (<1>

• 65M06: Finite difference methods
• 49K20: Problems involving partial differential equations
• 35Q40: PDEs in connection with quantum mechanics
• 65N06: Finite difference methods
• 90C53: Methods of quasi-Newton type
• 65H10: Systems of equations

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2012
• Tom: 1
• Strony: 93-111

Daty

otrzymano

2012-09-26

poprawiono

2012-11-07

zaakceptowano

2012-11-24

online

2012-11-29

Twórcy

autor

Alfio Borzì

• Institut für Mathematik, Universität Würzburg
  Emil-Fischer-Strasse 30, 97074 Würzburg, Germany

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Identyfikatory

DOI

10.2478/nsmmt-2012-0007