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International Journal of Control Volume 89, 2016 - Issue 12
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Original Articles

Quantum gate generation for systems with drift in U(n) using Lyapunov–LaSalle techniques

H.B. SilveiraDepartment of Automation and Systems (DAS), Federal University of Santa Catarina (UFSC), Florianópolis, BrazilView further author information
,
P.S. Pereira da SilvaDepartment of Telecommunications and Control, Escola Politécnica, University of São Paulo (USP), São Paulo, BrazilCorrespondence[email protected]
View further author information
&
P. RouchonCentre Automatique et Systèmes, Mines ParisTech, PSL Research University, Paris, FranceView further author information
Pages 2466-2481 | Received 02 Dec 2015, Accepted 01 Mar 2016, Published online: 08 Apr 2016

References

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  • Coron, J.M. (1992). Global asympotic stabilization for controllable systems without drift. Mathematics of Control Signals, and Systems, 5, 295–312.
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  • Silveira, H.B., Pereira da Silva, P.S., & Rouchon, P. (2009, December). A time-periodic Lyapunov approach for motion planning of controllable driftless systems on SU(n). Proceeding of the 48th IEEE conference on decision and control – CDC, Xangai.
  • Silveira, H.B., Pereira da Silva, P.S., & Rouchon, P. (2012). Explicit controls laws for the periodic motion planning of controllable driftless systems on SU(n). 51st IEEE Conference on decision and control – CDC, Maui, HI.
  • Silveira, H.B., Pereira da Silva, P.S., & Rouchon, P. (2013, July). A stochastic lyapunov feedback technique for propagator generation of quantum systems on U(n). Proceeding of the 12th European control conference – ECC, Zurich.
  • Silveira, H.B., Pereira da Silva, P.S., & Rouchon, P. (2014). Quantum gate generation by T-sampling stabilization. International Journal of Control, 87, 1227–1242.
  • Vidyasagar, M. (1993). Nonlinear systems analysis (2nd ed.). Englewood Cliffs, NJ: Prentice Hall.

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