Accelerated optimization and automated discovery with covariance matrix adaptation for experimental quantum control

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 4, 2009, Pages

  Roslund, Jonathan ^a   Shir, Ofer M ^a   Bäck, Thomas ^b   Rabitz, Herschel ^a  

^a PRINCETON UNIVERSITY   (United States)

^b LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE LEARNING; AUTOMATED DISCOVERY; CLOSED-LOOP; CONTROL PROBLEMS; COVARIANCE MATRIX ADAPTATION; EFFICIENCY GAIN; EVOLUTION STRATEGIES; HESSIAN MATRICES; LOCAL SEARCH; LOCAL STRUCTURE; OPTIMIZERS; PULSE-SHAPING; QUANTUM CONTROL; QUANTUM SYSTEM; STANDARD GENETIC ALGORITHM; STATISTICAL LEARNING;

COVARIANCE MATRIX; EVOLUTIONARY ALGORITHMS; OPTIMIZATION; QUANTUM ELECTRONICS; QUANTUM OPTICS;

LEARNING ALGORITHMS;

EID: 70350584856     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.043415     Document Type: Article

References (43)

1. P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, Phys. Chem. Chem. Phys. 9, 2470 (2007). 10.1039/b618760a
2. S. Backus C. G. Durfee, III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998). 10.1063/1.1148795
3. A. Weiner, Rev. Sci. Instrum. 71, 1929 (2000). 10.1063/1.1150614
4. T. Bäck, Evolutionary Algorithms in Theory and Practice (Oxford University Press, New York, NY, 1996).
5. R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992). 10.1103/PhysRevLett.68.1500
6. C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, Chem. Phys. Lett. 280, 151 (1997). 10.1016/S0009- 2614(97)01081-6
7. D. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison Wesley, Reading, MA, 1989).
8. H. Rabitz, M. Hsieh, and C. Rosenthal, Science 303, 1998 (2004). 10.1126/science.1093649
9. T.-S. Ho and H. Rabitz, J. Photochem. Photobiol. C. 180, 226 (2006). 10.1016/j.jphotochem.2006.03.038
10. D. H. Wolpert and W. G. Macready, IEEE Trans. Evol. Comput. 1, 67 (1997). 10.1109/4235.585893
11. H. Rabitz, T. S. Ho, M. Hsieh, R. Kosut, and M. Demiralp, Phys. Rev. A 74, 012721 (2006). 10.1103/PhysRevA.74.012721
12. H.-G. Beyer and H.-P. Schwefel, Nat. Comput. 1, 3 (2002). 10.1023/A:1015059928466
13. A. Auger and N. Hansen, in Proceedings of the 2005 Congress on Evolutionary Computation CEC-2005 (IEEE Press, Piscataway, NJ, USA, 2005), pp. 1777-1784.
14. A. Rothman, T.-S. Ho, and H. Rabitz, Phys. Rev. A 73, 053401 (2006). 10.1103/PhysRevA.73.053401
15. J. Roslund, M. Roth, and H. Rabitz, Phys. Rev. A 74, 043414 (2006). 10.1103/PhysRevA.74.043414
16. N. Hansen and A. Ostermeier, Evol. Comput. 9, 159 (2001). 10.1162/106365601750190398
17. B. J. Pearson, J. L. White, T. C. Weinacht, and P. H. Bucksbaum, Phys. Rev. A 63, 063412 (2001). 10.1103/PhysRevA.63.063412
18. D. Zeidler, S. Frey, K.-L. Kompa, and M. Motzkus, Phys. Rev. A 64, 023420 (2001). 10.1103/PhysRevA.64.023420
19. C. Darwin, On The Origin of Species: By Means of Natural Selection or The Preservation of Favoured Races in the Struggle for Life (John Murray, London, UK, 1859).
20. J. H. Holland, J. ACM 9, 297 (1962). 10.1145/321127.321128
21. J. H. Holland, Adaptation in Natural and Artificial Systems (The University of Michigan Press, Ann Arbor, 1975).
22. H.-P. Schwefel, Evolution and Optimum Seeking (Wiley, New York, NY, 1995).
23. I. Rechenberg, Evolutionsstrategies: Optimierung Technischer Systeme nach Prinzipien der Biologischen Evolution (Frommann-Holzboog Verlag, Stuttgart, Germany, 1973).
24. H.-P. Schwefel, in Problems of Constancy and Change-The Complementarity of Systems Approaches to Complexity, Proceedings of the 31st Annual Meeting, edited by, P. Checkland, and, I. Kiss, (Int'l Soc. for General System Research, Budapest, 1987), Vol. 2, pp. 1025-1033.
25. T. Bäck, U. Hammel, and H.-P. Schwefel, IEEE Trans. Evol. Comput. 1, 3 (1997). 10.1109/4235.585888
26. T. Baumert, T. Brixner, V. Seyfried, M. Strehle, and G. Gerber, Appl. Phys. B: Lasers Opt. 65, 779 (1997). 10.1007/s003400050346
27. A. Ostermeier, A. Gawelczyk, and N. Hansen, in Parallel Problem Solving from Nature-PPSN III, Lecture Notes in Computer Science (Springer, New York, 1994), Vol. 866, pp. 189-198.
28. N. Hansen, A. Ostermeier, and A. Gawelczyk, in Proceedings of the Sixth International Conference on Genetic Algorithms (ICGA6) (Morgan Kaufmann, San Francisco, CA, 1995), pp. 57-64.
29. N. Hansen and A. Ostermeier, in Proceedings of the 1996 IEEE International Conference on Evolutionary Computation (IEEE, Piscataway, NJ, 1996), pp. 312-317.
30. H.-G. Beyer, Biosystems 41, 1 (1997). 10.1016/S0303-2647(96)01657-7
31. O. M. Shir, V. Beltrani, T. Bäck, H. Rabitz, and M. J. Vrakking, J. Phys. B 41, 074021 (2008). 10.1088/0953-4075/41/7/074021
32. N. Hansen and S. Kern, in Parallel Problem Solving from Nature-PPSN V, Lecture Notes in Computer Science (Springer, Amsterdam, 1998), Vol. 1498, pp. 282-291.
33. J. White, B. Pearson, and P. Bucksbaum, J. Phys. B 37, L399 (2004). 10.1088/0953-4075/37/24/L02
34. A. Ostermeier, A. Gawelczyk, and N. Hansen, Evol. Comput. 2, 369 (1994). 10.1162/evco.1994.2.4.369
35. ∥ z∼ ∼N (0,I) ∥ is given by a chi distribution with D degrees of freedom, and □ ∥ z∼ ∥ □ =2 Γ [(D+1) /2] Γ [D/2] ∼D (1- 1 4D + 1 21 D2).
36. Code is available from the authors upon request.
37. J. Vaughan, T. Feurer, K. Stone, and K. Nelson, Opt. Express 14, 1314 (2006). 10.1364/OE.14.001314
38. D. V. Arnold and H.-G. Beyer, in Foundations of Genetic Algorithms, 6, edited by, W. Martin, and, W. Spears, (Morgan Kaufmann, San Francisco, CA, 2001), pp. 127-141.
39. W. H. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes (Cambridge University Press, New York, 1992).
40. O. M. Shir, J. Roslund, T. Bäck, and H. Rabitz, in Proceedings of the Genetic and Evolutionary Computation Conference, GECCO-2008 (ACM Press, New York, NY, USA, 2008), pp. 519-526.
41. J. Wilson, P. Schlup, M. Lunacek, D. Whitley, and R. Bartels, Rev. Sci. Instrum. 79, 033103 (2008). 10.1063/1.2839919
42. R. Fanciulli, L. Willmes, J. Savolainen, P. van der Walle, T. Bäck, and J. Herek, in Artificial Evolution, Lecture Notes in Computer Science (Springer, New York, 2008), Vol. 4926, pp. 219-230.
43. O. M. Shir, J. Roslund, and H. Rabitz, in Proceedings of the Genetic and Evolutionary Computation Conference, GECCO-2009 (ACM Press, New York, NY, USA, 2009), pp. 659-666.