-
1
-
-
27644523720
-
Principles and applications of control in quantum systems
-
DOI 10.1002/rnc.1016, Control at Small Length Scales: Issue 1
-
H. Mabuchi and N. Khaneja, Principles and applications of control in quantum systems, Int. J. Robust Nonlinear Control, 15 (2005), pp. 647-667. (Pubitemid 41568321)
-
(2005)
International Journal of Robust and Nonlinear Control
, vol.15
, Issue.15
, pp. 647-667
-
-
Mabuchi, H.1
Khaneja, N.2
-
2
-
-
0034224703
-
Quantum feedback control and classical control theory
-
A. C. Doherty, S. Habib, K. Jacobs, H. Mabuchi, and S. M. Tan, Quantum feedback control and classical control theory, Phys. Rev. A, 62 (2000), 012105.
-
(2000)
Phys. Rev. A
, vol.62
, pp. 012105
-
-
Doherty, A.C.1
Habib, S.2
Jacobs, K.3
Mabuchi, H.4
Tan, S.M.5
-
3
-
-
54049094701
-
H∞ control of linear quantum stochastic systems
-
M. R. James, H. I. Nurdin, and I. R. Petersen, H∞ control of linear quantum stochastic systems, IEEE Trans. Automat. Control, 53 (2008), pp. 1787-1803.
-
(2008)
IEEE Trans. Automat. Control
, vol.53
, pp. 1787-1803
-
-
James, M.R.1
Nurdin, H.I.2
Petersen, I.R.3
-
4
-
-
36749114459
-
On the controllability of quantum-mechanical systems
-
G. M. Huang, T. J. Tarn, and J. W. Clark, On the controllability of quantum-mechanical systems, J. Math. Phys., 24 (1983), pp. 2608-2618.
-
(1983)
J. Math. Phys.
, vol.24
, pp. 2608-2618
-
-
Huang, G.M.1
Tarn, T.J.2
Clark, J.W.3
-
5
-
-
0035709068
-
Notions of controllability for quantum mechanical systems
-
F. Albertini and D. D'Alessandro, Notions of controllability for quantum mechanical systems, in Proceedings of the 40th IEEE Conference on Decision and Control, IEEE Press, Piscataway, NJ, 2001, pp. 1589-1594. (Pubitemid 34139164)
-
(2001)
Proceedings of the IEEE Conference on Decision and Control
, vol.2
, pp. 1589-1594
-
-
Albertini, F.1
D'Alessandro, D.2
-
6
-
-
0035981789
-
Controllability of quantum mechanical systems by root space decomposition of su(N)
-
C. Altafini, Controllability of quantum mechanical systems by root space decomposition of su(N), J. Math. Phys., 43 (2002), pp. 2051-2062.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 2051-2062
-
-
Altafini, C.1
-
7
-
-
84862968798
-
Controllability and diameter of single-input quantum systems
-
IEEE Press, Piscataway, NJ
-
A. Agrachev and T. Chambrion, Controllability and diameter of single-input quantum systems, in Proceedings of the 1st IEEE International Conference on Physics and Control, Vol. 3, IEEE Press, Piscataway, NJ, 2003, pp. 720-725.
-
(2003)
Proceedings of the 1st IEEE International Conference on Physics and Control
, vol.3
, pp. 720-725
-
-
Agrachev, A.1
Chambrion, T.2
-
9
-
-
58249137155
-
Controllability of the discretespectrum Schrödinger equation driven by an external field
-
T. Chambrion, P. Mason, M. Sigalotti, and U. Boscain, Controllability of the discretespectrum Schrödinger equation driven by an external field, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26 (2009), pp. 329-349.
-
(2009)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.26
, pp. 329-349
-
-
Chambrion, T.1
Mason, P.2
Sigalotti, M.3
Boscain, U.4
-
10
-
-
77955391740
-
Finite controllability of infinite-dimensional quantum systems
-
A. M. Bloch, R. W. Brockett, and C. Rangan, Finite controllability of infinite-dimensional quantum systems, IEEE Trans. Automat. Control, 55 (2010), pp. 1797-1805.
-
(2010)
IEEE Trans. Automat. Control
, vol.55
, pp. 1797-1805
-
-
Bloch, A.M.1
Brockett, R.W.2
Rangan, C.3
-
11
-
-
77952090264
-
Controllability issues for continuousspectrum systems and ensemble controllability of Bloch equations
-
K. Beauchard, J.-M. Coron, and P. Rouchon, Controllability issues for continuousspectrum systems and ensemble controllability of Bloch equations, Comm. Math. Phys., 296 (2010), pp. 525-557.
-
(2010)
Comm. Math. Phys.
, vol.296
, pp. 525-557
-
-
Beauchard, K.1
Coron, J.-M.2
Rouchon, P.3
-
12
-
-
0035280053
-
Time optimal control in spin systems
-
N. Khaneja, R. Brockett, and S. J. Glaser, Time optimal control in spin systems, Phys. Rev. A, 63 (2001), 032308.
-
(2001)
Phys. Rev. A
, vol.63
, pp. 032308
-
-
Khaneja, N.1
Brockett, R.2
Glaser, S.J.3
-
13
-
-
0035365364
-
Optimal control of two-level quantum systems
-
PII S0018928601051303
-
D. D'Alessandro and M. Dahleh, Optimal control of two-level quantum systems, IEEE Trans. Automat. Control, 46 (2001), pp. 866-876. (Pubitemid 32609874)
-
(2001)
IEEE Transactions on Automatic Control
, vol.46
, Issue.6
, pp. 866-876
-
-
D'Alessandro, D.1
Dahleh, M.2
-
14
-
-
0035981790
-
Optimal control in laser-induced population transfer for two-and three-level quantum systems
-
U. Boscain, G. Charlot, J.-P. Gauthier, S. Guerin, and H.-R. Jauslin, Optimal control in laser-induced population transfer for two-and three-level quantum systems, J. Math. Phys., 43 (2002), pp. 2107-2132.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 2107-2132
-
-
Boscain, U.1
Charlot, G.2
Gauthier, J.-P.3
Guerin, S.4
Jauslin, H.-R.5
-
15
-
-
1942443824
-
Optimal control of coupled spins in the presence of longitudinal and transverse relaxation
-
D. Stefanatos, N. Khaneja, and S. J. Glaser, Optimal control of coupled spins in the presence of longitudinal and transverse relaxation, Phys. Rev. A, 69 (2004), 022319.
-
(2004)
Phys. Rev. A
, vol.69
, pp. 022319
-
-
Stefanatos, D.1
Khaneja, N.2
Glaser, S.J.3
-
16
-
-
33244492132
-
Relaxation-optimized transfer of spin order in Ising spin chains
-
D. Stefanatos, N. Khaneja, S. J. Glaser, and N. Khaneja, Relaxation-optimized transfer of spin order in Ising spin chains, Phys. Rev. A, 72 (2005), 062320.
-
(2005)
Phys. Rev. A
, vol.72
, pp. 062320
-
-
Stefanatos, D.1
Khaneja, N.2
Glaser, S.J.3
Khaneja, N.4
-
17
-
-
67649265400
-
Time-minimal control of dissipative two-level quantum systems: The integrable case
-
B. Bonnard and D. Sugny, Time-minimal control of dissipative two-level quantum systems: The integrable case, SIAM J. Control Optim., 48 (2009), pp. 1289-1308.
-
(2009)
SIAM J. Control Optim.
, vol.48
, pp. 1289-1308
-
-
Bonnard, B.1
Sugny, D.2
-
18
-
-
77649089505
-
Singular extremals for the time-optimal control of dissipative spin 1/2 particles
-
M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, Singular extremals for the time-optimal control of dissipative spin 1/2 particles, Phys. Rev. Lett., 104 (2010), 083001.
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 083001
-
-
Lapert, M.1
Zhang, Y.2
Braun, M.3
Glaser, S.J.4
Sugny, D.5
-
19
-
-
77957870283
-
Constrained minimum-energy optimal control of the dissipative Bloch equations
-
D. Stefanatos and J.-S. Li, Constrained minimum-energy optimal control of the dissipative Bloch equations, Systems Control Lett., 59 (2010), pp. 601-607.
-
(2010)
Systems Control Lett.
, vol.59
, pp. 601-607
-
-
Stefanatos, D.1
Li, J.-S.2
-
20
-
-
78049438255
-
The energy minimization problem for two-level dissipative quantum systems
-
B. Bonnard, O. Cots, N. Shcherbakova, and D. Sugny, The energy minimization problem for two-level dissipative quantum systems, J. Math. Phys., 51 (2010), 092705.
-
(2010)
J. Math. Phys.
, vol.51
, pp. 092705
-
-
Bonnard, B.1
Cots, O.2
Shcherbakova, N.3
Sugny, D.4
-
21
-
-
35949011561
-
Optimal control of quantum mechanical systems: Existence, numerical approximations, and applications
-
A. Peirce, M. Dahleh, and H. Rabitz, Optimal control of quantum mechanical systems: Existence, numerical approximations, and applications, Phys. Rev. A, 37 (1988), pp. 4950-4964.
-
(1988)
Phys. Rev. A
, vol.37
, pp. 4950-4964
-
-
Peirce, A.1
Dahleh, M.2
Rabitz, H.3
-
22
-
-
0001680426
-
Control of photochemical branching: Novel procedures for finding optimal pulses and global upper bounds
-
Plenum, New York
-
D. J. Tannor, V. Kazakov, and V. Orlov, Control of photochemical branching: Novel procedures for finding optimal pulses and global upper bounds, in Time Dependent Quantum Molecular Dynamics, Plenum, New York, 1992, pp. 347-360.
-
(1992)
Time Dependent Quantum Molecular Dynamics
, pp. 347-360
-
-
Tannor, D.J.1
Kazakov, V.2
Orlov, V.3
-
23
-
-
11344283019
-
Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms
-
DOI 10.1016/j.jmr.2004.11.004, PII S1090780704003696
-
N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms, J. Magn. Reson., 172 (2005), pp. 296-305. (Pubitemid 40072534)
-
(2005)
Journal of Magnetic Resonance
, vol.172
, Issue.2
, pp. 296-305
-
-
Khaneja, N.1
Reiss, T.2
Kehlet, C.3
Schulte-Herbruggen, T.4
Glaser, S.J.5
-
24
-
-
72049097715
-
A pseudospectral method for optimal control of open quantum systems
-
J.-S. Li, J. Ruths, and D. Stefanatos, A pseudospectral method for optimal control of open quantum systems, J. Chem. Phys., 131 (2009), 164110.
-
(2009)
J. Chem. Phys.
, vol.131
, pp. 164110
-
-
Li, J.-S.1
Ruths, J.2
Stefanatos, D.3
-
25
-
-
77954811176
-
Gradient flows for optimization in quantum information and quantum dynamics: Foundations and applications
-
T. Schulte-Herbrüggen, S. J. Glaser, G. Dirr, and U. Helmke, Gradient flows for optimization in quantum information and quantum dynamics: Foundations and applications, Rev. Math. Phys., 22 (2010), pp. 597-667.
-
(2010)
Rev. Math. Phys.
, vol.22
, pp. 597-667
-
-
Schulte-Herbrüggen, T.1
Glaser, S.J.2
Dirr, G.3
Helmke, U.4
-
26
-
-
77749293171
-
A smoothing monotonic convergent optimal control algorithm for nuclear magnetic resonance pulse sequence design
-
I. I. Maximov, J. Salomon, G. Turinici, and N. C. Nielsen, A smoothing monotonic convergent optimal control algorithm for nuclear magnetic resonance pulse sequence design, J. Chem. Phys., 132 (2010), 084107.
-
(2010)
J. Chem. Phys.
, vol.132
, pp. 084107
-
-
Maximov, I.I.1
Salomon, J.2
Turinici, G.3
Nielsen, N.C.4
-
27
-
-
79952119589
-
Optimal pulse design in quantum control: A unified computational method
-
J.-S. Li, J. Ruths, T.-Y. Yu, H. Arthanari, and G. Wagner, Optimal pulse design in quantum control: A unified computational method, Proc. Natl. Acad. Sci. USA, 108 (2011), pp. 1879-1884.
-
(2011)
Proc. Natl. Acad. Sci. USA
, vol.108
, pp. 1879-1884
-
-
Li, J.-S.1
Ruths, J.2
Yu, T.-Y.3
Arthanari, H.4
Wagner, G.5
-
28
-
-
79961185094
-
Optimal control methods for rapidly time-varying Hamiltonians
-
F. Motzoi, J. M. Gambetta, S. T. Merkel, and F. K. Wilhelm, Optimal control methods for rapidly time-varying Hamiltonians, Phys. Rev. A, 84 (2011), 022307.
-
(2011)
Phys. Rev. A
, vol.84
, pp. 022307
-
-
Motzoi, F.1
Gambetta, J.M.2
Merkel, S.T.3
Wilhelm, F.K.4
-
29
-
-
79960643149
-
Optimal control technique for many-body quantum dynamics
-
P. Doria, T. Calarco, and S. Montangero, Optimal control technique for many-body quantum dynamics, Phys. Rev. Lett., 106 (2011), 190501.
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 190501
-
-
Doria, P.1
Calarco, T.2
Montangero, S.3
-
30
-
-
0033096567
-
Atom cooling, trapping, and quantum manipulation
-
C. E. Wieman, D. E. Pritchard, and D. J Wineland, Atom cooling, trapping, and quantum manipulation, Rev. Mod. Phys., 71 (1999), pp. S253-S262.
-
(1999)
Rev. Mod. Phys.
, vol.71
-
-
Wieman, C.E.1
Pritchard, D.E.2
Wineland, D.J.3
-
31
-
-
1842421912
-
New frontiers in quantum information with atoms and ions
-
J. I. Cirac and P. Zoller, New frontiers in quantum information with atoms and ions, Physics Today, 57 (2004), pp. 38-44.
-
(2004)
Physics Today
, vol.57
, pp. 38-44
-
-
Cirac, J.I.1
Zoller, P.2
-
32
-
-
36749021775
-
An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field
-
H. R. Lewis and W. B. Riesenfeld, An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field, J. Math. Phys., 10 (1969), pp. 1458-1473.
-
(1969)
J. Math. Phys.
, vol.10
, pp. 1458-1473
-
-
Lewis, H.R.1
Riesenfeld, W.B.2
-
33
-
-
0141818363
-
Cooling Bose-Einstein condensates below 500 picokelvin
-
DOI 10.1126/science.1088827
-
A. E. Leanhardt, T. A. Pasquini, M. Saba, A. Schirotzek, Y. Shin, D. Kielpinski, D. E. Pritchard, and W. Ketterle, Adiabatic and evaporative cooling of Bose-Einstein condensates below 500 picokelvin, Science, 301 (2003), pp. 1513-1515. (Pubitemid 37128538)
-
(2003)
Science
, vol.301
, Issue.5639
, pp. 1513-1515
-
-
Leanhardt, A.E.1
Pasquini, T.A.2
Saba, M.3
Schirotzek, A.4
Shin, Y.5
Kielpinski, D.6
Pritchard, D.E.7
Ketterte, W.8
-
34
-
-
21044453030
-
Cold atom clocks and applications
-
DOI 10.1088/0953-4075/38/9/002, PII S0953407505939278
-
S. Bize, P. Laurent, M. Abgrall, H. Marion, I. Maksimovic, L. Cacciapuoti, J. Grnert, C. Vian, F. Pereira dos Santos, P. Rosenbusch, P. Lemonde, G. Santarelli, P. Wolf, A. Clairon, A. Luiten, M. Tobar, and C. Salomon, Cold atom clocks and applications, J. Phys. B: At. Mol. Opt. Phys., 38 (2005), pp. S449-S468. (Pubitemid 40871831)
-
(2005)
Journal of Physics B: Atomic, Molecular and Optical Physics
, vol.38
, Issue.9
-
-
Bize, S.1
Laurent, P.2
Abgrall, M.3
Marion, H.4
Maksimovic, I.5
Cacciapuoti, L.6
Grunert, J.7
Vian, C.8
Pereira Dos Santos, F.9
Rosenbusch, P.10
Lemonde, P.11
Santarelli, G.12
Wolf, P.13
Clairon, A.14
Luiten, A.15
Tobar, M.16
Salomon, C.17
-
35
-
-
38349169118
-
Adiabatic quantum computation is equivalent to standard quantum computation
-
DOI 10.1137/S0097539705447323
-
D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, Adiabatic quantum computation is equivalent to standard quantum computation, SIAM J. Comput., 37 (2007), pp. 166-194. (Pubitemid 351321992)
-
(2007)
SIAM Journal on Computing
, vol.37
, Issue.1
, pp. 166-194
-
-
Aharonov, D.1
Van Dam, W.2
Kempe, J.3
Landau, Z.4
Lloyd, S.5
Regev, O.6
-
36
-
-
59549083098
-
Maximum work in minimum time from a conservative quantum system
-
P. Salamon, K. H. Hoffmann, Y. Rezek, and R. Kosloff, Maximum work in minimum time from a conservative quantum system, Phys. Chem. Chem. Phys., 11 (2009), pp. 1027-1032.
-
(2009)
Phys. Chem. Chem. Phys.
, vol.11
, pp. 1027-1032
-
-
Salamon, P.1
Hoffmann, K.H.2
Rezek, Y.3
Kosloff, R.4
-
37
-
-
76649095659
-
Fast optimal frictionless atom cooling in harmonic traps: Shortcut to adiabaticity
-
X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, Fast optimal frictionless atom cooling in harmonic traps: Shortcut to adiabaticity, Phys. Rev. Lett., 104 (2010), 063002.
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 063002
-
-
Chen, X.1
Ruschhaupt, A.2
Schmidt, S.3
Del Campo, A.4
Guéry-Odelin, D.5
Muga, J.G.6
-
38
-
-
78650996089
-
Frictionless atom cooling in harmonic traps: A timeoptimal approach
-
D. Stefanatos, J. Ruths, and J.-S. Li, Frictionless atom cooling in harmonic traps: A timeoptimal approach, Phys. Rev. A, 82 (2010), 063422.
-
(2010)
Phys. Rev. A
, vol.82
, pp. 063422
-
-
Stefanatos, D.1
Ruths, J.2
Li, J.-S.3
-
39
-
-
64549107780
-
Second-order differential equations: Conditions of complete integrability
-
V. P. Ermakov, Second-order differential equations: Conditions of complete integrability, Appl. Anal. Discrete Math., 2 (2008), pp. 123-145.
-
(2008)
Appl. Anal. Discrete Math.
, vol.2
, pp. 123-145
-
-
Ermakov, V.P.1
-
40
-
-
0001086844
-
Evolution of a Bose-condensed gas under variations of the confining potential
-
Y. Kagan, E. L. Surkov, and G. V. Shlyapnikov, Evolution of a Bose-condensed gas under variations of the confining potential, Phys. Rev. A, 54 (1996), pp. R1753-R1756. (Pubitemid 126609031)
-
(1996)
Physical Review A - Atomic, Molecular, and Optical Physics
, vol.54
, Issue.3
-
-
Kagan, Yu.1
Surkov, E.L.2
Shlyapnikov, G.V.3
-
41
-
-
0003716450
-
-
Interscience Publishers, John Wiley & Sons, Inc., New York-London
-
L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Interscience Publishers, John Wiley & Sons, Inc., New York-London, 1962.
-
(1962)
The Mathematical Theory of Optimal Processes
-
-
Pontryagin, L.S.1
Boltyanskii, V.G.2
Gamkrelidze, R.V.3
Mishchenko, E.F.4
-
42
-
-
0020302383
-
Time-optimal control in the plane
-
Springer-Verlag, Berlin
-
H. J. Sussmann, Time-optimal control in the plane, in Feedback Control of Linear and Nonlinear Systems, Lecture Notes in Control and Inform. Sci. 39, Springer-Verlag, Berlin, 1982, pp. 244-260.
-
(1982)
Feedback Control of Linear and Nonlinear Systems, Lecture Notes in Control and Inform. Sci.
, vol.39
, pp. 244-260
-
-
Sussmann, H.J.1
-
43
-
-
0023305961
-
Structure of time-optimal trajectories for single-input systems in the plane: the c infinity nonsingular case
-
H. J. Sussmann, The structure of time-optimal trajectories for single-input systems in the plane: The C∞ nonsingular case, SIAM J. Control Optim., 25 (1987), pp. 433-465. (Pubitemid 17532934)
-
(1987)
SIAM Journal on Control and Optimization
, vol.25
, Issue.2
, pp. 433-465
-
-
Sussmann, H.J.1
-
44
-
-
23644451027
-
Optimal Syntheses for Control Systems on 2-D Manifolds
-
Springer-Verlag, Berlin
-
U. Boscain and B. Piccoli, Optimal Syntheses for Control Systems on 2-D Manifolds, Math. Appl. (Berlin), Springer-Verlag, Berlin, 2004.
-
(2004)
Math. Appl. (Berlin)
-
-
Boscain, U.1
Piccoli, B.2
-
47
-
-
78649616234
-
Frictionless dynamics of Bose-Einstein condensates under fast trap variations
-
J. G. Muga, X. Chen, A. Ruschhaupt, and D. Guéry-Odelin, Frictionless dynamics of Bose-Einstein condensates under fast trap variations, J. Phys. B: At. Mol. Opt. Phys., 42 (2009), 241001.
-
(2009)
J. Phys. B: At. Mol. Opt. Phys.
, vol.42
, pp. 241001
-
-
Muga, J.G.1
Chen, X.2
Ruschhaupt, A.3
Guéry-Odelin, D.4
-
48
-
-
80053208002
-
Frictionless quantum quenches in ultracold gases: A quantum dynamical microscope
-
A. del Campo, Frictionless quantum quenches in ultracold gases: A quantum dynamical microscope, Phys. Rev. A, 84 (2011), 031606(R).
-
(2011)
Phys. Rev. A
, vol.84
-
-
Del Campo, A.1
|