References

[1]Michael Goerz. Optimizing Robust Quantum Gates in Open Quantum Systems. PhD thesis, Universität Kassel, 2015. URL: https://kobra.bibliothek.uni-kassel.de/handle/urn:nbn:de:hebis:34-2015052748381.
[2]A.I. Konnov and V. F. Krotov. On global methods of successive improvement of controlled processes. Autom. Rem. Contr., 60:1427, 1999.
[3]José P. Palao and Ronnie Kosloff. Optimal control theory for unitary transformations. Phys. Rev. A, 68:062308, 2003.
[4]Daniel M. Reich, Mamadou Ndong, and Christiane P. Koch. Monotonically convergent optimization in quantum control using Krotov’s method. J. Chem. Phys., 136:104103, 2012.
[5]Shlomo E. Sklarz and David J. Tannor. Loading a Bose-Einstein condensate onto an optical lattice: an application of optimal control theory to the nonlinear schrödinger equation. Phys. Rev. A, 66:053619, 2002.
[6]José P. Palao, Ronnie Kosloff, and Christiane P. Koch. Protecting Coherence in Optimal Control Theory: State-Dependent Constraint Approach. Phys. Rev. A, 77:063412, 2008.
[7]Paul Watts, Jiří Vala, Matthias M. Müller, Tommaso Calarco, K. Birgitta Whaley, Daniel M. Reich, Michael H. Goerz, and Christiane P. Koch. Optimizing for an arbitrary perfect entangler: I. Functionals. Phys. Rev. A, 91:062306, 2015.
[8]Michael H. Goerz, Giulia Gualdi, Daniel M. Reich, Christiane P. Koch, Felix Motzoi, K. Birgitta Whaley, Jiří Vala, Matthias M. Müller, Simone Montangero, and Tommaso Calarco. Optimizing for an arbitrary perfect entangler. II. Application. Phys. Rev. A, 91:062307, 2015.
[9]Michael H. Goerz, Daniel M. Reich, and Christiane P. Koch. Optimal control theory for a unitary operation under dissipative evolution. New J. Phys., 16:055012, 2014.
[10]M. M. Müller, D. M. Reich, M. Murphy, H. Yuan, J. Vala, K. B. Whaley, T. Calarco, and C. P. Koch. Optimizing entangling quantum gates for physical systems. Phys. Rev. A, 84:042315, 2011.
[11]Martin B. Plenio and Peter L. Knight. The quantum-jump approach to dissipative dynamics in quantum optics. Rev. Mod. Phys., 70:101, 1998.
[12]Michael H. Goerz, Eli J. Halperin, Jon M. Aytac, Christiane P. Koch, and K. Birgitta Whaley. Robustness of high-fidelity rydberg gates with single-site addressability. Phys. Rev. A, 90:032329, 2014.
[13]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. Magnet. Res., 172:296, 2005.
[14]Richard H. Byrd, Peihuang Lu, Jorge Nocedal, and Ciyou Zhu. A limited memory algorithm for bound constrained optimization. SIAM J. Sci. Comput., 16:1190, 1995.
[15]Ciyou Zhu, Richard H. Byrd, Peihuang Lu, and Jorge Nocedal. Algorithm 778: l-bfgs-b: fortran subroutines for large-scale bound-constrained optimization. ACM Trans. Math. Softw., 23:550–560, 1997.
[16]Michael H. Goerz, K. Birgitta Whaley, and Christiane P. Koch. Hybrid optimization schemes for quantum control. EPJ Quantum Technol., 2:21, 2015.
[17]Patrick Doria, Tommaso Calarco, and Simone Montangero. Optimal control technique for many-body quantum dynamics. Phys. Rev. Lett., 106:190501, 2011.
[18]Tommaso Caneva, Tommaso Calarco, and Simone Montangero. Chopped random-basis quantum optimization. Phys. Rev. A, 84:022326, 2011.