Time optimal simultaneous control of two level quantum systems
Tài liệu tham khảo
Abragam, 2002, Vol. 32
Aiello, 2015, Algebraic synthesis of time-optimal unitaries in SU(2) with alternating controls, Quantum Information Processing, 14, 3233173256, 10.1007/s11128-015-1045-6
Albertini, 2015, Minimum time optimal synthesis for two level quantum systems, Journal of Mathematical Physics, 56, 10.1063/1.4906137
Albertini, F., & D’Alessandro, D. (2016). http://www.public.iastate.edu/~daless/appendix-A.pdf.
Beauchard, 2012, Stabilization for an ensemble of half-spin systems, Automatica, 48, 10.1016/j.automatica.2011.09.050
Billig, Y. (2014). Optimal attitude control with two rotation axes, arXiv:1409.3102.
Billig, 2013, Time-optimal decompositions in SU(2), Quantum Information Processing, 12, 955, 10.1007/s11128-012-0447-y
Boscain, 2002, On the K+P problem for a three-level quantum system: Optimality implies resonance, Journal of Dynamical and Control Systems, 8, 547, 10.1023/A:1020767419671
Boscain, 2014, Minimal time trajectories for two-level quantum systems with two bounded controls, Journal of Mathematical Physics, 55, 10.1063/1.4882158
Boscain, 2006, Time minimal trajectories for a spin 12 particle in a magnetic field, Journal of Mathematical Physics, 47, 10.1063/1.2203236
Boscain, 2004, Vol. 43
Boscain, 2008, Invariant Carnot-Caratheodory metric on S3, SO(3) and SL(2) and lens spaces, SIAM Journal on Control and Optimization, 47, 1851, 10.1137/070703727
Carlini, 2006, Time optimal quantum evolution, Physical Review Letters, 96, 10.1103/PhysRevLett.96.060503
Carlini, 2007, Time optimal unitary evolutions, Phys. Rev. A, 75, 10.1103/PhysRevA.75.042308
Chen, 2014, Sampling-based learning control of inhomogeneous quantum ensembles, Physical Review A, 89, 10.1103/PhysRevA.89.023402
D’Alessandro, 2007
D’Alessandro, 2004, Optimal evaluation of generalized Euler angles with applications to control, Automatica, 40, 1997, 10.1016/j.automatica.2004.06.006
D’Alessandro, 2001, Otimal control of two-level quantum systems, IEEE Transactions on Automatic Control, 45
Khaneja, 2001, Time optimal control of spin systems, Phys. Rev. A, 63, 10.1103/PhysRevA.63.032308
Li, 2009, Ensemble control of Bloch equations, IEEE Transactions on Automatic Control, 54, 52817536, 10.1109/TAC.2009.2012983
Mazzarella, 2015, Consensus for quantum networks: From symmetry to gossip iterations, IEEE Transactions on Automatic Control, 60, 158, 10.1109/TAC.2014.2336351
Nielsen, 2000
Ohsawa, 2013, Symmetry reduction of optimal control systems and principal connections, SIAM Journal on Control and Optimization, 51, 96, 10.1137/110835219
Romano, 2014, Geometric analysis of minimum time trajectories for a two level quantum system, Physical Review A, 90, 10.1103/PhysRevA.90.062302
Sakurai, 1994
Shi, 2015, Reaching a quantum consensus: Master equations that generate symmetrization and synchronization, IEEE Transactions on Automatic Control, 10.1109/TAC.2015.2434034
Wang, 2015, Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates, Physical Review Letters, 114, 10.1103/PhysRevLett.114.170501