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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklova, 2014, Volume 285, Pages 244–252 (Mi tm3552)

Coherent control of a qubit is trap-free
A. N. Pechen, N. B. Il'in

This publication is cited in the following articles:
  1. Igor Korolev, Alexander Pechen, Boris Volkov, Lecture Notes in Computer Science, 16196, Supercomputing, 2026, 379  crossref
  2. I. M. Korolev, A. N. Pechen, “Numerical Analysis of Quantum Control Landscapes for Single-Qubit Gate Generation in Three-Level Fluxonium Systems”, Lobachevskii J Math, 46:6 (2025), 2581  crossref
  3. A. N. Pechen, “On the Analysis of Quantum Control Landscapes Using Gradient Projection Method and Pontryagin Maximum Principle”, Lobachevskii J Math, 46:6 (2025), 2622  crossref
  4. B. O. Volkov, A. Myachkova, I. M. Korolev, A. N. Pechen, “Higher-Order Traps in Quantum Control Landscapes of Physical Systems”, Russ Microelectron, 54:8 (2025), 1402  crossref
  5. A. N. Pechen, “Some optimization methods for quantum systems: gradient projection method on Stiefel manifolds and beyond”, Mikroelektronika, 54:8 (2025), 1384–1390  mathnet  crossref
  6. Izv. Math., 87:5 (2023), 906–919  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  7. Izv. Math., 87:5 (2023), 1024–1050  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  8. Birtea P., Casu I., Comanescu D., “Constraint Optimization and Su(N) Quantum Control Landscapes”, J. Phys. A-Math. Theor., 55:11 (2022), 115301  crossref  mathscinet  isi
  9. Farrukh Mukhamedov, Izzat Qaralleh, “Controlling Problem within a Class of Two-Level Positive Maps”, Symmetry, 14:11 (2022), 2280  crossref
  10. A. I. Kirillov, E. V. Polyachenko, “On the evolution of states of controlled qubits”, Theoret. and Math. Phys., 208:2 (2021), 1038–1050  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  11. Volkov B.O. Morzhin V O. Pechen A.N., “Quantum Control Landscape For Ultrafast Generation of Single-Qubit Phase Shift Quantum Gates”, J. Phys. A-Math. Theor., 54:21 (2021), 215303  crossref  mathscinet  isi  scopus
  12. Russell B., Wu R.-B., Rabitz H., “Quantum Control Landscapes Beyond the Dipole Approximation: Controllability, Singular Controls, and Resources”, Front. Physics, 9 (2021), 674794  crossref  isi
  13. Xiaozhen Ge, Rebing Wu, Herschel Rabitz, “Optimization Landscape of Quantum Control Systems”, Complex Syst. Model. Simul., 1:2 (2021), 77  crossref
  14. O. V. Morzhin, A. N. Pechen, “Krotov method for optimal control of closed quantum systems”, Russian Math. Surveys, 74:5 (2019), 851–908  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  15. N. B. Il'in, A. N. Pechen, “Conditions for the absence of local extrema in problems of quantum coherent control”, Proc. Steklov Inst. Math., 301 (2018), 109–113  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  16. A. N. Pechen, “Some Methods of Construction of Controls for Quantum Systems”, J. Math. Sci. (N. Y.), 252:1 (2021), 65–71  mathnet  crossref  mathscinet
  17. A. N. Pechen, N. B. Il'in, “Control landscape for ultrafast manipulation by a qubit”, J. Phys. A-Math. Theor., 50:7 (2017), 075301  crossref  mathscinet  zmath  isi  scopus
  18. A. N. Pechen, “Some mathematical problems of control of quantum systems”, J. Math. Sci. (N. Y.), 241:2 (2019), 185–190  mathnet  mathnet  crossref
  19. A. N. Pechen, “On the speed gradient method for generating unitary quantum operations for closed quantum systems”, Russian Math. Surveys, 71:3 (2016), 597–599  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
  20. Alexander N. Pechen, Nikolay B. Il'in, “On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements”, Proc. Steklov Inst. Math., 294 (2016), 233–240  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  21. A. N. Pechen, N. B. Il'in, “On extrema of the objective functional for short-time generation of single-qubit quantum gates”, Izv. Math., 80:6 (2016), 1200–1212  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  22. A. N. Pechen, N. B. Il'in, “Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times”, Proc. Steklov Inst. Math., 289 (2015), 213–220  mathnet  crossref  crossref  isi  elib
  23. A. N. Pechen, N. B. Il'in, “On critical points of the objective functional for maximization of qubit observables”, Russian Math. Surveys, 70:4 (2015), 782–784  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib


© Steklov Math. Inst. of RAS, 2026