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@article{INTO_2018_151_a6, author = {A. N. Pechen}, title = {Some {Methods} of {Construction} of {Controls} for {Quantum} {Systems}}, journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory}, pages = {67--72}, publisher = {mathdoc}, volume = {151}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/INTO_2018_151_a6/} }
TY - JOUR AU - A. N. Pechen TI - Some Methods of Construction of Controls for Quantum Systems JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2018 SP - 67 EP - 72 VL - 151 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2018_151_a6/ LA - ru ID - INTO_2018_151_a6 ER -
A. N. Pechen. Some Methods of Construction of Controls for Quantum Systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum probability, Tome 151 (2018), pp. 67-72. http://geodesic.mathdoc.fr/item/INTO_2018_151_a6/
[1] Ananevskii M. S., Fradkov A. L., “Upravlenie nablyudaemymi v konechnourovnevykh kvantovykh sistemakh”, Avtomat. telemekh., 5 (2005), 63–75 | Zbl
[2] Krotov V. F., “Upravlenie kvantovymi sistemami i nekotorye idei teorii optimalnogo upravleniya”, Avtomat. telemekh., 3 (2009), 15–23 | Zbl
[3] Pechen A. N., “O metode skorostnogo gradienta dlya generatsii unitarnykh kvantovykh operatsii v zamknutykh kvantovykh sistemakh”, Usp. mat. nauk, 71:3 (2016), 205–206 | DOI | MR | Zbl
[4] Pechen A. N., Ilin N. B., “Kogerentnoe upravlenie kubitom svobodno ot lovushek”, Tr. mat. in-ta im. V. A. Steklova, 285 (2014), 244–252 | DOI | Zbl
[5] Pechen A. N., Ilin N. B., “Ob ekstremumakh tselevogo funktsionala v zadache generatsii odnokubitnykh kvantovykh ventilei na malykh vremenakh”, Izv. RAN. Ser. mat., 80:6 (2016), 217–229 | DOI | MR | Zbl
[6] Upravlenie molekulyarnymi i kvantovymi sistemami, eds. Fradkov A. L., Yakubovskii O. A., Inst. komp. issled., M.:-Izhevsk, 2003
[7] Fradkov A. L., “Skhema skorostnogo gradienta i ee primenenie v zadachakh adaptivnogo upravleniya”, Avtomat. telemekh., 9 (1979), 90–101 | Zbl
[8] Kholevo A. S., Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010
[9] Accardi L., Lu Y. G., Volovich I. V., Quantum theory and its stohastic limit, Springer-Verlag, 2002 | MR
[10] Broyden C. G., “The convergence of a class of double-rank minimization algorithms. 1. General consideration”, J. Inst. Math. Appl., 6 (1970), 76–90 | DOI | MR | Zbl
[11] Brumer P. W., Shapiro M., Principles of the quantum control of molecular processes, Wiley-Interscience, 2003 | MR
[12] D'Alessandro D., Introduction to quantum control and dynamics, Chapman, Boca Raton, 2007 | MR
[13] Davis E. B., Quantum theory of open systems, Academic Press, 1976 | MR
[14] de Fouquières P., Schirmer S. G., “Quantum control landscapes: acloser look”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 16:3 (2013), 1350021 | DOI | MR | Zbl
[15] Fletcher R. A., “A new approach to variable metric algorithms”, Comput. J., 13 (1970), 317–322 | DOI | Zbl
[16] Goldfarb D. A., “A family of variable-metric methods derived byvariational means”, Math. Comput., 24 (1970), 23–26 | DOI | MR | Zbl
[17] Hentschel A., Sanders B. C., “Efficient algorithm for optimizing adaptive quantum metrology processes”, Phys. Rev. Lett., 107 (2011), 233601 | DOI
[18] Judson R. S., Rabitz H., “Teaching lasers to control molecules”, Phys.Rev. Lett., 68 (1992), 1500–1503 | DOI
[19] Khaneja N., Reiss T., Kehlet C., Schulte-Herbrüggen T.,Glaser S. J., “Optimal control of coupled spin dynamics: design of nmr pulse sequences by gradient ascent algorithms”, J. Magn. Reson., 172:2 (2005), 296–305 | DOI
[20] Letokhov V. S., Laser control of atoms and molecules, Oxford Univ. Press, 2007
[21] Machnes S., Sander U., Glaser S. J., de Fouquières P., Gruslys A., Schirmer S., Schulte-Herbrüggen T., “Comparing, optimizing, and benchmarking quantum-control algorithms in a unifying programming framework”, Phys. Rev. A., 84 (2011), 022305 | DOI
[22] Pechen A., Borisenok S., “Energy transfer in two-level quantum systems via speed gradient-based algorithm”, IFAC-Papers OnLine, 48:11 (2015), 446–450 | DOI
[23] Pechen A., Il'in N., “Trap-free manipulation in the Landau–Zener system”, Phys. Rev. A., 86 (2012), 052117 | DOI
[24] Pechen A., Rabitz H., “Teaching the environment to control quantum systems”, Phys. Rev. A., 73 (2006), 062102 | DOI
[25] Pechen A., Tannor D., “Are there traps in quantum control and scapes?”, Phys. Rev. Lett., 106 (2011), 120402 | DOI
[26] Rabitz H., Hsieh M., Rosenthal C., “Quantum optimally controlled transition landscapes”, Science, 303 (2004), 1998 | DOI
[27] Rice S. A., Zhao M., Optical control of molecular dynamics, Wiley, New York, 2000
[28] Shanno D. F., “Conditioning of quasi-Newton methods for function minimization”, Math. Comput., 24 (1970), 647–656 | DOI | MR
[29] Tannor D. J., Introduction to quantum mechanics: A time dependent perspective, Univ. Sci. Press, Sausalito, 2007
[30] Tannor D. J., Kazakov V., Orlov V., “Control of photochemical branching: Novel procedures for finding optimal pulses and global upper bounds”, Time Dependent Quantum Molecular Dynamics, eds. Broeckhove J., Lathouwers L., Plenum, 1992, 347–360 | DOI
[31] Trushechkin A. S., Volovich I. V., “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, Europhys. Lett., 113 (2016), 30005 | DOI