Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape
Abstract
The broad success of theoretical and experimental quantum optimal control is intimately connected to the topology of the underlying control landscape. For several common quantum control goals, including the maximization of an observable expectation value, the landscape has been shown to lack local optima if three assumptions are satisfied: (i) the quantum system is controllable, (ii) the Jacobian of the map from the control field to the evolution operator is full rank, and (iii) the control field is not constrained. In the case of the observable objective, this favorable analysis shows that the associated landscape also contains saddles, i.e., critical points that are not local suboptimal extrema. In this paper, we investigate whether the presence of these saddles affects the trajectories of gradient-based searches for an optimal control. We show through simulations that both the detailed topology of the control landscape and the parameters of the system Hamiltonian influence whether the searches are attracted to a saddle. For some circumstances with a special initial state and target observable, optimizations may approach a saddle very closely, reducing the efficiency of the gradient algorithm. Encounters with such attractive saddles are found to be quite rare. Neither the presence of a large numbermore »
- Authors:
-
- Princeton Univ., NJ (United States)
- Tsinghua Univ., Beijing (China)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); US Army Research Office (ARO); National Science Foundation (NSF)
- OSTI Identifier:
- 1535745
- Alternate Identifier(s):
- OSTI ID: 1365603
- Grant/Contract Number:
- FG02-02ER15344; W911NF-16-1-0014; CHE-1464569
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 6; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; optics; physics; coherent control; quantum control; semiclassical physics
Citation Formats
Riviello, Gregory, Wu, Re-Bing, Sun, Qiuyang, and Rabitz, Herschel. Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape. United States: N. p., 2017.
Web. doi:10.1103/physreva.95.063418.
Riviello, Gregory, Wu, Re-Bing, Sun, Qiuyang, & Rabitz, Herschel. Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape. United States. https://doi.org/10.1103/physreva.95.063418
Riviello, Gregory, Wu, Re-Bing, Sun, Qiuyang, and Rabitz, Herschel. Thu .
"Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape". United States. https://doi.org/10.1103/physreva.95.063418. https://www.osti.gov/servlets/purl/1535745.
@article{osti_1535745,
title = {Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape},
author = {Riviello, Gregory and Wu, Re-Bing and Sun, Qiuyang and Rabitz, Herschel},
abstractNote = {The broad success of theoretical and experimental quantum optimal control is intimately connected to the topology of the underlying control landscape. For several common quantum control goals, including the maximization of an observable expectation value, the landscape has been shown to lack local optima if three assumptions are satisfied: (i) the quantum system is controllable, (ii) the Jacobian of the map from the control field to the evolution operator is full rank, and (iii) the control field is not constrained. In the case of the observable objective, this favorable analysis shows that the associated landscape also contains saddles, i.e., critical points that are not local suboptimal extrema. In this paper, we investigate whether the presence of these saddles affects the trajectories of gradient-based searches for an optimal control. We show through simulations that both the detailed topology of the control landscape and the parameters of the system Hamiltonian influence whether the searches are attracted to a saddle. For some circumstances with a special initial state and target observable, optimizations may approach a saddle very closely, reducing the efficiency of the gradient algorithm. Encounters with such attractive saddles are found to be quite rare. Neither the presence of a large number of saddles on the control landscape nor a large number of system states increases the likelihood that a search will closely approach a saddle. Finally, even for applications that encounter a saddle, well-designed gradient searches with carefully chosen algorithmic parameters will readily locate optimal controls.},
doi = {10.1103/physreva.95.063418},
journal = {Physical Review A},
number = 6,
volume = 95,
place = {United States},
year = {Thu Jun 22 00:00:00 EDT 2017},
month = {Thu Jun 22 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 6 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Optimization schemes for selective molecular cleavage with tailored ultrashort laser pulses
journal, November 2011
- Krieger, Kevin; Castro, Alberto; Gross, E. K. U.
- Chemical Physics, Vol. 391, Issue 1
Control strategies for semiconductor-quantum-dot-based single and double qubits
journal, March 2009
- Roloff, R.; Wenin, M.; Pötz, W.
- Journal of Computational Electronics, Vol. 8, Issue 1
Optical pulse shaping approaches to coherent control
journal, February 2003
- Goswami, Debabrata
- Physics Reports, Vol. 374, Issue 6, p. 385-481
Multichannel Carotenoid Deactivation in Photosynthetic Light Harvesting as Identified by an Evolutionary Target Analysis
journal, July 2003
- Wohlleben, Wendel; Buckup, Tiago; Herek, Jennifer L.
- Biophysical Journal, Vol. 85, Issue 1
Experimental observation of saddle points over the quantum control landscape of a two-spin system
journal, April 2015
- Sun, Qiuyang; Pelczer, István; Riviello, Gregory
- Physical Review A, Vol. 91, Issue 4
Robust Optimal Quantum Gates for Josephson Charge Qubits
journal, October 2007
- Montangero, Simone; Calarco, Tommaso; Fazio, Rosario
- Physical Review Letters, Vol. 99, Issue 17
Enhanced Squeezing of a Collective Spin via Control of Its Qudit Subsystems
journal, October 2012
- Norris, Leigh M.; Trail, Collin M.; Jessen, Poul S.
- Physical Review Letters, Vol. 109, Issue 17
Optimal quantum control of Bose-Einstein condensates in magnetic microtraps
journal, February 2007
- Hohenester, Ulrich; Rekdal, Per Kristian; Borzì, Alfio
- Physical Review A, Vol. 75, Issue 2
Quantum Computation with Vibrationally Excited Molecules
journal, September 2002
- Tesch, Carmen M.; de Vivie-Riedle, Regina
- Physical Review Letters, Vol. 89, Issue 15
Strong-field-ionization suppression by light-field control
journal, September 2012
- Räsänen, Esa; Madsen, Lars Bojer
- Physical Review A, Vol. 86, Issue 3
Search complexity and resource scaling for the quantum optimal control of unitary transformations
journal, January 2011
- Moore, Katharine W.; Chakrabarti, Raj; Riviello, Gregory
- Physical Review A, Vol. 83, Issue 1
Nonresonant Control of Multimode Molecular Wave Packets at Room Temperature
journal, January 2002
- Bartels, R. A.; Weinacht, T. C.; Leone, S. R.
- Physical Review Letters, Vol. 88, Issue 3, Article No. 033001
Coherent control of the ultrafast dissociative ionization dynamics of bromochloroalkanes
journal, January 2011
- Plenge, J.; Wirsing, A.; Wagner-Drebenstedt, I.
- Physical Chemistry Chemical Physics, Vol. 13, Issue 19
New quantum control pathway for a coupled-potential system
journal, February 2003
- Ohtsuki, Yukiyoshi; Ohara, Kazuki; Abe, Mayumi
- Chemical Physics Letters, Vol. 369, Issue 5-6
Wavepacket dancing: Achieving chemical selectivity by shaping light pulses
journal, December 1989
- Kosloff, R.; Rice, S. A.; Gaspard, P.
- Chemical Physics, Vol. 139, Issue 1
Selective Bond Dissociation and Rearrangement with Optimally Tailored, Strong-Field Laser Pulses
journal, March 2001
- Levis, Robert J.; Menkir, Getahun M.; Rabitz, Herschel
- Science, Vol. 292, Issue 5517, p. 709-713
Volume fractions of the kinematic ‘near-critical’ sets of the quantum ensemble control landscape
journal, May 2011
- Dominy, Jason; Rabitz, Herschel
- Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 25
Quantum optimal control of unbounded molecular dynamics: Application to NaI predissociation
journal, October 2002
- Nakagami, Kazuyuki; Ohtsuki, Yukiyoshi; Fujimura, Yuichi
- The Journal of Chemical Physics, Vol. 117, Issue 14
Quantum optimal control of molecular isomerization in the presence of a competing dissociation channel
journal, February 2006
- Artamonov, Maxim; Ho, Tak-San; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 124, Issue 6
Landscape for optimal control of quantum-mechanical unitary transformations
journal, November 2005
- Rabitz, Herschel; Hsieh, Michael; Rosenthal, Carey
- Physical Review A, Vol. 72, Issue 5
Whither the Future of Controlling Quantum Phenomena?
journal, May 2000
- Rabitz, Herschel; de Vivie-Riedle, Regina; Motzkus, Marcus
- Science, Vol. 288, Issue 5467, p. 824-828
Enhancement of high-order harmonic generation at tuned wavelengths through adaptive control
journal, January 2004
- Reitze, David H.; Kazamias, Sophie; Weihe, Frederick
- Optics Letters, Vol. 29, Issue 1
Resolution of strongly competitive product channels with optimal dynamic discrimination: Application to flavins
journal, January 2011
- Roslund, Jonathan; Roth, Matthias; Guyon, Laurent
- The Journal of Chemical Physics, Vol. 134, Issue 3
Controlling the Dynamics of Many-Electron Systems from First Principles: A Combination of Optimal Control and Time-Dependent Density-Functional Theory
journal, October 2012
- Castro, A.; Werschnik, J.; Gross, E. K. U.
- Physical Review Letters, Vol. 109, Issue 15
Searching for quantum optimal controls under severe constraints
journal, April 2015
- Riviello, Gregory; Tibbetts, Katharine Moore; Brif, Constantin
- Physical Review A, Vol. 91, Issue 4
Control of cis- Stilbene Photochemistry Using Shaped Ultraviolet Pulses
journal, March 2009
- Greenfield, M.; McGrane, S. D.; Moore, D. S.
- The Journal of Physical Chemistry A, Vol. 113, Issue 11
Colloquium : Optimal control of high-harmonic generation
journal, January 2008
- Winterfeldt, Carsten; Spielmann, Christian; Gerber, Gustav
- Reviews of Modern Physics, Vol. 80, Issue 1
Optimal control for generating quantum gates in open dissipative systems
journal, July 2011
- Schulte-Herbrüggen, T.; Spörl, A.; Khaneja, N.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 15
Quantum control of energy flow in light harvesting
journal, May 2002
- Herek, Jennifer L.; Wohlleben, Wendel; Cogdell, Richard J.
- Nature, Vol. 417, Issue 6888, p. 533-535
Femtosecond Lasers for Quantum Information Technology
journal, November 2007
- de Vivie-Riedle, Regina; Troppmann, Ulrike
- Chemical Reviews, Vol. 107, Issue 11
Femtosecond quantum control of molecular bond formation
journal, May 2010
- Nuernberger, P.; Wolpert, D.; Weiss, H.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 23
Optimal Control for Open Quantum Systems: Qubits and Quantum Gates
journal, August 2009
- Roloff, R.; Wenin, M.; Pötz, W.
- Journal of Computational and Theoretical Nanoscience, Vol. 6, Issue 8
Exploring constrained quantum control landscapes
journal, October 2012
- Moore, Katharine W.; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 137, Issue 13
Robust control of Josephson charge qubits
journal, April 2009
- Wenin, M.; Roloff, R.; Pötz, W.
- Journal of Applied Physics, Vol. 105, Issue 8
Control of Chemical Reactions by Feedback-Optimized Phase-Shaped Femtosecond Laser Pulses
journal, October 1998
- Assion, A.; Baumert, T.; Bergt, M.
- Science, Vol. 282, Issue 5390, p. 919-922
Closing the Loop on Bond Selective Chemistry Using Tailored Strong Field Laser Pulses
journal, July 2002
- Levis, R. J.; Rabitz, H. A.
- The Journal of Physical Chemistry A, Vol. 106, Issue 27, p. 6427-6444
Controlling open quantum systems: tools, achievements, and limitations
journal, May 2016
- Koch, Christiane P.
- Journal of Physics: Condensed Matter, Vol. 28, Issue 21
Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays
journal, July 2000
- Bartels, R.; Backus, S.; Zeek, E.
- Nature, Vol. 406, Issue 6792, p. 164-166
Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe
journal, December 2015
- Glaser, Steffen J.; Boscain, Ugo; Calarco, Tommaso
- The European Physical Journal D, Vol. 69, Issue 12
Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms
journal, February 2005
- Khaneja, Navin; Reiss, Timo; Kehlet, Cindie
- Journal of Magnetic Resonance, Vol. 172, Issue 2
Optimal control landscape for the generation of unitary transformations
journal, April 2008
- Hsieh, Michael; Rabitz, Herschel
- Physical Review A, Vol. 77, Issue 4
Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
journal, October 2002
- Palao, José P.; Kosloff, Ronnie
- Physical Review Letters, Vol. 89, Issue 18
Mapping Excited-State Dynamics by Coherent Control of a Dendrimer's Photoemission Efficiency
journal, October 2009
- Kuroda, D. G.; Singh, C. P.; Peng, Z.
- Science, Vol. 326, Issue 5950
Optimal control of a leaking qubit
journal, February 2009
- Rebentrost, P.; Wilhelm, F. K.
- Physical Review B, Vol. 79, Issue 6
Exploring quantum control landscapes: Topology, features, and optimization scaling
journal, July 2011
- Moore, Katharine W.; Rabitz, Herschel
- Physical Review A, Vol. 84, Issue 1
Coherent Control of Decoherence
journal, May 2008
- Branderhorst, M. P. A.; Londero, P.; Wasylczyk, P.
- Science, Vol. 320, Issue 5876
Optimized dynamical decoupling in a model quantum memory
journal, April 2009
- Biercuk, Michael J.; Uys, Hermann; VanDevender, Aaron P.
- Nature, Vol. 458, Issue 7241
Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry
journal, May 2003
- Brixner, Tobias; Gerber, Gustav
- ChemPhysChem, Vol. 4, Issue 5
Optimal control of bond selectivity in unimolecular reactions
journal, February 1991
- Shi, Shenghua; Rabitz, Herschel
- Computer Physics Communications, Vol. 63, Issue 1-3
Singlet versus triplet dynamics of β-carotene studied by quantum control spectroscopy
journal, June 2006
- Buckup, Tiago; Lebold, Timo; Weigel, Alexander
- Journal of Photochemistry and Photobiology A: Chemistry, Vol. 180, Issue 3
Quantum optimal control of isomerization dynamics of a one-dimensional reaction-path model dominated by a competing dissociation channel
journal, July 2009
- Kurosaki, Yuzuru; Artamonov, Maxim; Ho, Tak-San
- The Journal of Chemical Physics, Vol. 131, Issue 4
Quantum control landscapes
journal, October 2007
- Chakrabarti, Raj; Rabitz, Herschel
- International Reviews in Physical Chemistry, Vol. 26, Issue 4
A comparison of the selective excitation of molecular modes in gas and liquid phase using femtosecond pulse shaping
journal, January 2008
- Scaria, A.; Konradi, J.; Namboodiri, V.
- Journal of Raman Spectroscopy, Vol. 39, Issue 6
Optimal Control of Photoisomerization
journal, February 2005
- Vogt, G.; Krampert, G.; Niklaus, P.
- Physical Review Letters, Vol. 94, Issue 6
Quantum control experiment reveals solvation-induced decoherence
journal, April 2009
- van der Walle, P.; Milder, M. T. W.; Kuipers, L.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 19
Measuring the distance from saddle points and driving to locate them over quantum control landscapes
journal, October 2015
- Sun, Qiuyang; Riviello, Gregory; Wu, Re-Bing
- Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 46
Experimental Coherent Laser Control of Physicochemical Processes
journal, April 2004
- Dantus, Marcos; Lozovoy, Vadim V.
- Chemical Reviews, Vol. 104, Issue 4, p. 1813-1860
Quantum optimal control theory
journal, September 2007
- Werschnik, J.; Gross, E. K. U.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, Issue 18
Tracking Excited State Dynamics with Coherent Control: Automated Limiting of Population Transfer in LDS750
journal, September 2005
- Nahmias, Omer; Bismuth, Oshrat; Shoshana, Ofir
- The Journal of Physical Chemistry A, Vol. 109, Issue 37
Ultrafast laser control of electron dynamics in atoms, molecules and solids
journal, January 2011
- Wollenhaupt, Matthias; Baumert, Thomas
- Faraday Discussions, Vol. 153
Optimal control of entangling operations for trapped-ion quantum computing
journal, January 2009
- Nebendahl, V.; Häffner, H.; Roos, C. F.
- Physical Review A, Vol. 79, Issue 1
Coherent learning control of vibrational motion in room temperature molecular gases
journal, August 2001
- Weinacht, T. C.; Bartels, R.; Backus, S.
- Chemical Physics Letters, Vol. 344, Issue 3-4, p. 333-338
Mechanisms of Molecular Response in the Optimal Control of Photoisomerization
journal, December 2006
- Dietzek, Benjamin; Brüggemann, Ben; Pascher, Torbjörn
- Physical Review Letters, Vol. 97, Issue 25
Optimized single-qubit gates for Josephson phase qubits
journal, February 2009
- Safaei, Shabnam; Montangero, Simone; Taddei, Fabio
- Physical Review B, Vol. 79, Issue 6
Multiobjective genetic approach for optimal control of photoinduced processes
journal, August 2007
- Bonacina, Luigi; Extermann, Jérôme; Rondi, Ariana
- Physical Review A, Vol. 76, Issue 2
Femtosecond pump–shaped-dump quantum control of retinal isomerization in bacteriorhodopsin
journal, December 2006
- Vogt, G.; Nuernberger, P.; Brixner, T.
- Chemical Physics Letters, Vol. 433, Issue 1-3
Why do effective quantum controls appear easy to find?
journal, June 2006
- Ho, Tak-San; Rabitz, Herschel
- Journal of Photochemistry and Photobiology A: Chemistry, Vol. 180, Issue 3
Control of quantum phenomena: past, present and future
journal, July 2010
- Brif, Constantin; Chakrabarti, Raj; Rabitz, Herschel
- New Journal of Physics, Vol. 12, Issue 7
Optimal control of curve‐crossing systems
journal, February 1992
- Gross, Peter; Neuhauser, Daniel; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 96, Issue 4
Learning from learning algorithms: Application to attosecond dynamics of high-harmonic generation
journal, October 2004
- Bartels, Randy A.; Murnane, Margaret M.; Kapteyn, Henry C.
- Physical Review A, Vol. 70, Issue 4
On the relationship between quantum control landscape structure and optimization complexity
journal, April 2008
- Moore, Katharine; Hsieh, Michael; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 128, Issue 15
Topology of the quantum control landscape for observables
journal, March 2009
- Hsieh, Michael; Wu, Rebing; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 130, Issue 10
Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits
journal, September 2009
- Motzoi, F.; Gambetta, J. M.; Rebentrost, P.
- Physical Review Letters, Vol. 103, Issue 11
Coherent control of the population transfer in complex solvated molecules at weak excitation. An experimental study
journal, May 2005
- Prokhorenko, Valentyn I.; Nagy, Andrea M.; Miller, R. J. Dwayne
- The Journal of Chemical Physics, Vol. 122, Issue 18, Article No. 184502
Optimal control theory for unitary transformations
journal, December 2003
- Palao, José P.; Kosloff, Ronnie
- Physical Review A, Vol. 68, Issue 6
Optimal control of molecular states in a learning loop with a parameterization in frequency and time domain
journal, August 2000
- Hornung, T.; Meier, R.; Motzkus, M.
- Chemical Physics Letters, Vol. 326, Issue 5-6
Coherent Control of Retinal Isomerization in Bacteriorhodopsin
journal, September 2006
- Prokhorenko, V. I.
- Science, Vol. 313, Issue 5791
Quantum Control of Tightly Competitive Product Channels
journal, June 2009
- Roth, Matthias; Guyon, Laurent; Roslund, Jonathan
- Physical Review Letters, Vol. 102, Issue 25
Optimal Control of Molecular Motion: Design, Implementation, and Inversion
journal, August 2000
- Rabitz, Herschel; Zhu, Wusheng
- Accounts of Chemical Research, Vol. 33, Issue 8, p. 572-578
Implementation of quantum gates via optimal control
journal, March 2009
- Schirmer, Sonia
- Journal of Modern Optics, Vol. 56, Issue 6
Femtosecond x-ray science
journal, January 2006
- Pfeifer, T.; Spielmann, C.; Gerber, G.
- Reports on Progress in Physics, Vol. 69, Issue 2
Application of feedback-controlled pulse shaping for control of CARS spectra: the role of phase and amplitude modulation
journal, January 2007
- Konradi, J.; Scaria, A.; Namboodiri, V.
- Journal of Raman Spectroscopy, Vol. 38, Issue 8
Optimal Control of a Qubit Coupled to a Non-Markovian Environment
journal, March 2009
- Rebentrost, P.; Serban, I.; Schulte-Herbrüggen, T.
- Physical Review Letters, Vol. 102, Issue 9
Feedback optimization of shaped femtosecond laser pulses for controlling the wavepacket dynamics and reactivity of mixed alkaline clusters
journal, June 2001
- Vajda, Štefan; Bartelt, Andreas; Kaposta, Eva-Cristina
- Chemical Physics, Vol. 267, Issue 1-3
Optimizing atom interferometry on atom chips
journal, October 2009
- Hohenester, U.; Grond, J.; Schmiedmayer, J.
- Fortschritte der Physik, Vol. 57, Issue 11-12
Quantum Optimally Controlled Transition Landscapes
journal, March 2004
- Rabitz, H. A.
- Science, Vol. 303, Issue 5666
Searching for quantum optimal control fields in the presence of singular critical points
journal, July 2014
- Riviello, Gregory; Brif, Constantin; Long, Ruixing
- Physical Review A, Vol. 90, Issue 1
Characterization of the critical submanifolds in quantum ensemble control landscapes
journal, December 2007
- Wu, Rebing; Rabitz, Herschel; Hsieh, Michael
- Journal of Physics A: Mathematical and Theoretical, Vol. 41, Issue 1
Natural variables for controlling quantum dynamics
journal, September 2008
- Hsieh, Michael; Ho, Tak-San; Rabitz, Herschel
- Chemical Physics, Vol. 352, Issue 1-3
Landscape of unitary transformations in controlled quantum dynamics
journal, January 2009
- Ho, Tak-San; Dominy, Jason; Rabitz, Herschel
- Physical Review A, Vol. 79, Issue 1
On benchmarking functions for genetic algorithms
journal, January 2001
- Digalakis, J. G.; Margaritis, K. G.
- International Journal of Computer Mathematics, Vol. 77, Issue 4
State-independent control theory for weakly dissipative quantum systems
journal, July 2008
- Wenin, M.; Pötz, W.
- Physical Review A, Vol. 78, Issue 1
Controlling Vibrational Excitation with Shaped Mid-IR Pulses
journal, July 2007
- Strasfeld, David B.; Shim, Sang-Hee; Zanni, Martin T.
- Physical Review Letters, Vol. 99, Issue 3
Optimal control landscapes for quantum observables
journal, May 2006
- Rabitz, Herschel; Hsieh, Michael; Rosenthal, Carey
- The Journal of Chemical Physics, Vol. 124, Issue 20
Optimal control of the electronic current density: Application to one- and two-dimensional one-electron systems
journal, April 2011
- Kammerlander, David; Castro, Alberto; Marques, Miguel A. L.
- Physical Review A, Vol. 83, Issue 4
Quantum optimal control of ozone isomerization
journal, October 2004
- Artamonov, Maxim; Ho, Tak-San; Rabitz, Herschel
- Chemical Physics, Vol. 305, Issue 1-3
Selective excitation of molecular modes in a mixture by optimal control of electronically nonresonant femtosecond four-wave mixing spectroscopy
journal, June 2006
- Konradi, J.; Singh, A. K.; Materny, A.
- Journal of Photochemistry and Photobiology A: Chemistry, Vol. 180, Issue 3
Controllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds
journal, March 2009
- Altafini, Claudio
- Systems & Control Letters, Vol. 58, Issue 3
Strong field laser control of photochemistry
journal, January 2015
- Solá, Ignacio R.; González-Vázquez, Jesús; de Nalda, Rebeca
- Physical Chemistry Chemical Physics, Vol. 17, Issue 20
Controlling the Femtochemistry of Fe(CO)5
journal, December 1999
- Bergt, M.; Brixner, T.; Kiefer, B.
- The Journal of Physical Chemistry A, Vol. 103, Issue 49, p. 10381-10387
Minimization of environment-induced decoherence in quantum subsystems and application to solid-state-based quantum gates
journal, October 2008
- Wenin, M.; Pötz, W.
- Physical Review B, Vol. 78, Issue 16
Optimal control-based efficient synthesis of building blocks of quantum algorithms: A perspective from network complexity towards time complexity
journal, October 2005
- Schulte-Herbrüggen, T.; Spörl, A.; Khaneja, N.
- Physical Review A, Vol. 72, Issue 4
Exploring families of quantum controls for generating unitary transformations
journal, May 2008
- Dominy, Jason; Rabitz, Herschel
- Journal of Physics A: Mathematical and Theoretical, Vol. 41, Issue 20
Quantum optimal control: Hessian analysis of the control landscape
journal, May 2006
- Shen, Zhenwen; Hsieh, Michael; Rabitz, Herschel
- The Journal of Chemical Physics, Vol. 124, Issue 20
Topology of optimally controlled quantum mechanical transition probability landscapes
journal, July 2006
- Rabitz, H.; Ho, T. -S.; Hsieh, M.
- Physical Review A, Vol. 74, Issue 1
Optimal quantum gates for semiconductor qubits
journal, October 2006
- Hohenester, Ulrich
- Physical Review B, Vol. 74, Issue 16
Photoselective adaptive femtosecond quantum control in the liquid phase
journal, November 2001
- Brixner, T.; Damrauer, N. H.; Niklaus, P.
- Nature, Vol. 414, Issue 6859, p. 57-60
Deciphering the Reaction Dynamics Underlying Optimal Control Laser Fields
journal, January 2003
- Daniel, Chantal; Full, Jurgen; Gonzalez, Leticia
- Science, Vol. 299, Issue 5606, p. 536-539
Environment-invariant measure of distance between evolutions of an open quantum system
journal, January 2010
- Grace, Matthew D.; Dominy, Jason; Kosut, Robert L.
- New Journal of Physics, Vol. 12, Issue 1
Controlling the efficiency of an artificial light-harvesting complex
journal, May 2008
- Savolainen, J.; Fanciulli, R.; Dijkhuizen, N.
- Proceedings of the National Academy of Sciences, Vol. 105, Issue 22
Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
journal, April 2007
- Grace, Matthew; Brif, Constantin; Rabitz, Herschel
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, Issue 9
Feedback quantum control of molecular electronic population transfer
journal, November 1997
- Bardeen, Christopher J.; Yakovlev, Vladislav V.; Wilson, Kent R.
- Chemical Physics Letters, Vol. 280, Issue 1-2, p. 151-158
Coherent control of vibrational transitions: Discriminating molecules in mixtures
journal, January 2011
- van Rhijn, A. C. W.; Jafarpour, A.; Jurna, M.
- Faraday Discussions, Vol. 153
Role of controllability in optimizing quantum dynamics
journal, June 2011
- Wu, Re-Bing; Hsieh, Michael A.; Rabitz, Herschel
- Physical Review A, Vol. 83, Issue 6
Optimal control landscape for the generation of unitary transformations with constrained dynamics
journal, June 2010
- Hsieh, Michael; Wu, Rebing; Rabitz, Herschel
- Physical Review A, Vol. 81, Issue 6
Strongly Enhanced Spin Squeezing via Quantum Control
journal, November 2010
- Trail, Collin M.; Jessen, Poul S.; Deutsch, Ivan H.
- Physical Review Letters, Vol. 105, Issue 19
Control landscapes for observable preparation with open quantum systems
journal, February 2008
- Wu, Rebing; Pechen, Alexander; Rabitz, Herschel
- Journal of Mathematical Physics, Vol. 49, Issue 2
Optimal control of number squeezing in trapped Bose-Einstein condensates
journal, November 2009
- Grond, Julian; von Winckel, Gregory; Schmiedmayer, Jörg
- Physical Review A, Vol. 80, Issue 5
Document Structure and Layout Analysis
book, January 2007
- Namboodiri, Anoop M.; Jain, Anil K.
- Digital Document Processing
Time-dependent and time-independent wavepacket approaches to reactive scattering and photodissociation dynamics
journal, July 2008
- Balint-Kurti, Gabriel G.
- International Reviews in Physical Chemistry, Vol. 27, Issue 3
Projected pixel localization and artifact removal in captured images
conference, November 2008
- Arora, Himanshu; Namboodiri, Anoop
- TENCON 2008 - 2008 IEEE Region 10 Conference
Quantum Control Landscapes Are Almost Always Trap Free
preprint, January 2016
- Russell, Benjamin; Rabitz, Herschel; Wu, Rebing
- arXiv
Works referencing / citing this record:
Optimal and robust control of quantum state transfer by shaping the spectral phase of ultrafast laser pulses
journal, January 2018
- Guo, Yu; Dong, Daoyi; Shu, Chuan-Cun
- Physical Chemistry Chemical Physics, Vol. 20, Issue 14