Some topics in dynamics and control of open quantum systems
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 155-161.

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This work reviews several topics in the non-equilibrium dynamics and control of open quantum systems, including the dynamics in the weak coupling and low density regimes, incoherent control and universal Kraus maps.
Keywords: open quantum systems, quantum control, incoherent control.
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A. N. Pechen. Some topics in dynamics and control of open quantum systems. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 155-161. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a19/

[1] Breuer H.-P., Petruccione F., The theory of open quantum systems, Oxford University Press, Oxford, 2002, 648 pp. ; Broier Kh.-P., Petruchchione F., Teoriya otkrytykh kvantovykh sistem, RKhD, Izhevsk, 2010, 824 pp. | MR | Zbl

[2] Accardi L., Lu Y. G., Volovich I. V., Quantum theory and its stochastic limit, Springer-Verlag, Berlin, 2002, 473 pp. | MR | Zbl

[3] Pechen A. N., Volovich I. V., “Quantum multipole noise and generalized quantum stochastic equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 5:4 (2002), 441–464, arXiv: math-ph/0202046 | DOI | MR | Zbl

[4] Pechen' A. N., “On an asymptotic expansion in quantum theory”, Math. Notes, 75:3 (2004), 426–429 | DOI | DOI | MR | Zbl

[5] Dümcke R., “The low density limit for an $N$-level system interacting with a free Bose or Fermi gas”, Comm. Math. Phys., 97:3 (1985), 331–359 | DOI | MR | Zbl

[6] Bogolyubov N. N., Collection of scientific works in twelve volumes, v. 5, Nonequilibrium Statistical Mechanics, Nauka, Moscow, 2006, 804 pp.

[7] Accardi L., Pechen A. N., Volovich I. V., “A stochastic golden rule and quantum Langevin equation for the low density limit”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 6:3 (2003), 431–453, arXiv: math-ph/0206032 | DOI | MR | Zbl

[8] Pechen A. N., “Quantum stochastic equation for a test particle interacting with a dilute Bose gas”, J. Math. Phys., 45:1 (2004), 400–417, arXiv: math-ph/0303020 | DOI | MR | Zbl

[9] Butkovskiy A. G., Samoylenko Yu. I., Control of quantum mechanical processes, Nauka, Moscow, 1984, 256 pp. | MR

[10] Rice S. A., Zhao M., Optical control of molecular dynamics, Wiley, New York, 2000, 437 pp. | Zbl

[11] Brumer P. W., Shapiro M., Principles of the quantum control of molecular processes, Wiley-Interscience, Hoboken, NJ, 2003, 354 pp.

[12] Letokhov V. S., Laser control of atoms and molecules, Oxford University Press, Oxford, New York, 2007, 310 pp.

[13] Brif C., Chakrabarti R., Rabitz H., “Control of quantum phenomena: past, present and future”, New Journal of Physics, 12:7 (2010), 075008, 69 pp., arXiv: [quant-ph] 0912.5121 | DOI | MR

[14] Tannor D J., Rice S. A., “Control of selectivity of chemical reaction via control of wave packet evolution”, J. Chem. Phys., 83:10 (1985), 5013, 6 pp. | DOI

[15] Dantus M., Lozovoy V. V., “Experimental coherent laser control of physicochemical processes”, Chem. Rev., 104:4 (2004), 1813–1860 | DOI

[16] Ruskov R., Korotkov A. N., “Quantum feedback control of a solid-state qubit”, Phys. Rev. B, 66:4 (2002), 041401(R), 4 pp., arXiv: [cond-mat.mes-hall] cond-mat/0204516 | DOI

[17] Zhdanov D. V., Zadkov V. N., “Laser-assisted control of molecular orientation at high temperatures”, Phys. Rev. A, 77:1 (2008), 011401(R), 4 pp. | DOI | MR

[18] Tarasov V. E., “Quantum computer with mixed states and four-valued logic”, J. Phys. A, 35:25 (2002), 5207–5235, arXiv: quant-ph/0312131 | DOI | MR | Zbl

[19] Pechen A., Rabitz H., “Teaching the environment to control quantum systems”, Phys. Rev. A, 73:6 (2006), 062102, 6 pp., arXiv: quant-ph/0609097 | DOI

[20] Wu R., Pechen A., Brif C., Rabitz H., “Controllability of open quantum systems with Kraus-map dynamics”, J. Phys. A, 40:21 (2007), 5681–5693, arXiv: quant-ph/0611215 | DOI | MR | Zbl

[21] Kraus K., States, effects, and operations, Lecture Notes in Physics, 190, Springer-Verlag, Berlin, 1983, 151 pp. | DOI | MR | Zbl