skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Searching for an optimal control in the presence of saddles on the quantum-mechanical observable landscape

; ; ;
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Name: Physical Review A Journal Volume: 95 Journal Issue: 6; Journal ID: ISSN 2469-9926
American Physical Society
Country of Publication:
United States

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. doi: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. doi:10.1103/PhysRevA.95.063418.
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 = {},
doi = {10.1103/PhysRevA.95.063418},
journal = {Physical Review A},
number = 6,
volume = 95,
place = {United States},
year = {2017},
month = {6}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevA.95.063418

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Optimization schemes for selective molecular cleavage with tailored ultrashort laser pulses
journal, November 2011

Control strategies for semiconductor-quantum-dot-based single and double qubits
journal, March 2009

Optical pulse shaping approaches to coherent control
journal, February 2003

Multichannel Carotenoid Deactivation in Photosynthetic Light Harvesting as Identified by an Evolutionary Target Analysis
journal, July 2003

Experimental observation of saddle points over the quantum control landscape of a two-spin system
journal, April 2015

Robust Optimal Quantum Gates for Josephson Charge Qubits
journal, October 2007

Enhanced Squeezing of a Collective Spin via Control of Its Qudit Subsystems
journal, October 2012

Optimal quantum control of Bose-Einstein condensates in magnetic microtraps
journal, February 2007

Quantum Computation with Vibrationally Excited Molecules
journal, September 2002

Strong-field-ionization suppression by light-field control
journal, September 2012

Search complexity and resource scaling for the quantum optimal control of unitary transformations
journal, January 2011

Nonresonant Control of Multimode Molecular Wave Packets at Room Temperature
journal, January 2002

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
  • DOI: 10.1039/c0cp02742a

New quantum control pathway for a coupled-potential system
journal, February 2003

Wavepacket dancing: Achieving chemical selectivity by shaping light pulses
journal, December 1989

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
  • DOI: 10.1126/science.1059133

Volume fractions of the kinematic ‘near-critical’ sets of the quantum ensemble control landscape
journal, May 2011

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
  • DOI: 10.1063/1.1504701

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
  • DOI: 10.1063/1.2165201

Landscape for optimal control of quantum-mechanical unitary transformations
journal, November 2005

Whither the Future of Controlling Quantum Phenomena?
journal, May 2000

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
  • DOI: 10.1364/OL.29.000086

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
  • DOI: 10.1063/1.3518751

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
  • DOI: 10.1103/PhysRevA.91.043401

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
  • DOI: 10.1021/jp801758v

Colloquium : Optimal control of high-harmonic generation
journal, January 2008

  • Winterfeldt, Carsten; Spielmann, Christian; Gerber, Gustav
  • Reviews of Modern Physics, Vol. 80, Issue 1
  • DOI: 10.1103/RevModPhys.80.117

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
  • DOI: 10.1088/0953-4075/44/15/154013

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
  • DOI: 10.1038/417533a

Femtosecond Lasers for Quantum Information Technology
journal, November 2007

  • de Vivie-Riedle, Regina; Troppmann, Ulrike
  • Chemical Reviews, Vol. 107, Issue 11
  • DOI: 10.1021/cr040094l

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
  • DOI: 10.1073/pnas.0913607107

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
  • DOI: 10.1166/jctn.2009.1246

Exploring constrained quantum control landscapes
journal, October 2012

  • Moore, Katharine W.; Rabitz, Herschel
  • The Journal of Chemical Physics, Vol. 137, Issue 13
  • DOI: 10.1063/1.4757133

Robust control of Josephson charge qubits
journal, April 2009

  • Wenin, M.; Roloff, R.; Pötz, W.
  • Journal of Applied Physics, Vol. 105, Issue 8
  • DOI: 10.1063/1.3080242

Control of Chemical Reactions by Feedback-Optimized Phase-Shaped Femtosecond Laser Pulses
journal, October 1998

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
  • DOI: 10.1021/jp0134906

Controlling open quantum systems: tools, achievements, and limitations
journal, May 2016

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
  • DOI: 10.1038/35018029

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
  • DOI: 10.1140/epjd/e2015-60464-1

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
  • DOI: 10.1016/j.jmr.2004.11.004

Optimal control landscape for the generation of unitary transformations
journal, April 2008

Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
journal, October 2002

Mapping Excited-State Dynamics by Coherent Control of a Dendrimer's Photoemission Efficiency
journal, October 2009

Optimal control of a leaking qubit
journal, February 2009

Exploring quantum control landscapes: Topology, features, and optimization scaling
journal, July 2011

Coherent Control of Decoherence
journal, May 2008

Optimized dynamical decoupling in a model quantum memory
journal, April 2009

  • Biercuk, Michael J.; Uys, Hermann; VanDevender, Aaron P.
  • Nature, Vol. 458, Issue 7241
  • DOI: 10.1038/nature07951

Quantum Control of Gas-Phase and Liquid-Phase Femtochemistry
journal, May 2003

Optimal control of bond selectivity in unimolecular reactions
journal, February 1991

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
  • DOI: 10.1016/j.jphotochem.2006.03.001

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
  • DOI: 10.1063/1.3185565

Quantum control landscapes
journal, October 2007

  • Chakrabarti, Raj; Rabitz, Herschel
  • International Reviews in Physical Chemistry, Vol. 26, Issue 4
  • DOI: 10.1080/01442350701633300

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
  • DOI: 10.1002/jrs.1967

Optimal Control of Photoisomerization
journal, February 2005

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
  • DOI: 10.1073/pnas.0901833106

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
  • DOI: 10.1088/1751-8113/48/46/465305

Experimental Coherent Laser Control of Physicochemical Processes
journal, April 2004

  • Dantus, Marcos; Lozovoy, Vadim V.
  • Chemical Reviews, Vol. 104, Issue 4, p. 1813-1860
  • DOI: 10.1021/cr020668r

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
  • DOI: 10.1088/0953-4075/40/18/R01

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
  • DOI: 10.1021/jp052313s

Ultrafast laser control of electron dynamics in atoms, molecules and solids
journal, January 2011

  • Wollenhaupt, Matthias; Baumert, Thomas
  • Faraday Discussions, Vol. 153
  • DOI: 10.1039/c1fd00109d

Optimal control of entangling operations for trapped-ion quantum computing
journal, January 2009

Coherent learning control of vibrational motion in room temperature molecular gases
journal, August 2001

Mechanisms of Molecular Response in the Optimal Control of Photoisomerization
journal, December 2006

Optimized single-qubit gates for Josephson phase qubits
journal, February 2009

Multiobjective genetic approach for optimal control of photoinduced processes
journal, August 2007

Femtosecond pump–shaped-dump quantum control of retinal isomerization in bacteriorhodopsin
journal, December 2006

Why do effective quantum controls appear easy to find?
journal, June 2006

Control of quantum phenomena: past, present and future
journal, July 2010

Optimal control of curve‐crossing systems
journal, February 1992

  • Gross, Peter; Neuhauser, Daniel; Rabitz, Herschel
  • The Journal of Chemical Physics, Vol. 96, Issue 4
  • DOI: 10.1063/1.461980

Learning from learning algorithms: Application to attosecond dynamics of high-harmonic generation
journal, October 2004

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
  • DOI: 10.1063/1.2907740

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
  • DOI: 10.1063/1.2981796

Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits
journal, September 2009

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
  • DOI: 10.1063/1.1886750

Optimal control theory for unitary transformations
journal, December 2003

Optimal control of molecular states in a learning loop with a parameterization in frequency and time domain
journal, August 2000

Coherent Control of Retinal Isomerization in Bacteriorhodopsin
journal, September 2006

Quantum Control of Tightly Competitive Product Channels
journal, June 2009

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
  • DOI: 10.1021/ar990054h

Implementation of quantum gates via optimal control
journal, March 2009

Femtosecond x-ray science
journal, January 2006

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
  • DOI: 10.1002/jrs.1701

Optimal Control of a Qubit Coupled to a Non-Markovian Environment
journal, March 2009

Feedback optimization of shaped femtosecond laser pulses for controlling the wavepacket dynamics and reactivity of mixed alkaline clusters
journal, June 2001

Optimizing atom interferometry on atom chips
journal, October 2009

  • Hohenester, U.; Grond, J.; Schmiedmayer, J.
  • Fortschritte der Physik, Vol. 57, Issue 11-12
  • DOI: 10.1002/prop.200900094

Quantum Optimally Controlled Transition Landscapes
journal, March 2004

Searching for quantum optimal control fields in the presence of singular critical points
journal, July 2014

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
  • DOI: 10.1088/1751-8113/41/1/015006

Natural variables for controlling quantum dynamics
journal, September 2008

Landscape of unitary transformations in controlled quantum dynamics
journal, January 2009

On benchmarking functions for genetic algorithms
journal, January 2001

  • Digalakis, J. G.; Margaritis, K. G.
  • International Journal of Computer Mathematics, Vol. 77, Issue 4
  • DOI: 10.1080/00207160108805080

State-independent control theory for weakly dissipative quantum systems
journal, July 2008

Controlling Vibrational Excitation with Shaped Mid-IR Pulses
journal, July 2007

Optimal control landscapes for quantum observables
journal, May 2006

  • Rabitz, Herschel; Hsieh, Michael; Rosenthal, Carey
  • The Journal of Chemical Physics, Vol. 124, Issue 20
  • DOI: 10.1063/1.2198837

Optimal control of the electronic current density: Application to one- and two-dimensional one-electron systems
journal, April 2011

Quantum optimal control of ozone isomerization
journal, October 2004

Selective excitation of molecular modes in a mixture by optimal control of electronically nonresonant femtosecond four-wave mixing spectroscopy
journal, June 2006

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
  • DOI: 10.1039/C5CP00627A

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
  • DOI: 10.1021/jp992541k

Optimal control-based efficient synthesis of building blocks of quantum algorithms: A perspective from network complexity towards time complexity
journal, October 2005

Exploring families of quantum controls for generating unitary transformations
journal, May 2008

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
  • DOI: 10.1063/1.2198836

Topology of optimally controlled quantum mechanical transition probability landscapes
journal, July 2006

Optimal quantum gates for semiconductor qubits
journal, October 2006

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
  • DOI: 10.1038/35102037

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
  • DOI: 10.1126/science.1078517

Environment-invariant measure of distance between evolutions of an open quantum system
journal, January 2010

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
  • DOI: 10.1073/pnas.0711927105

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
  • DOI: 10.1088/0953-4075/40/9/S06

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
  • DOI: 10.1016/S0009-2614(97)01081-6

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
  • DOI: 10.1039/c1fd00040c

Role of controllability in optimizing quantum dynamics
journal, June 2011

Optimal control landscape for the generation of unitary transformations with constrained dynamics
journal, June 2010

Strongly Enhanced Spin Squeezing via Quantum Control
journal, November 2010

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
  • DOI: 10.1063/1.2883738

Optimal control of number squeezing in trapped Bose-Einstein condensates
journal, November 2009