Some Remarks on Quantum Brachistochrone

DOI10.1142/S1230161212500059zbMath1245.81022arXiv1105.3332MaRDI QIDQ2884796

Fabio Masillo

Publication date: 18 May 2012

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3332

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
• Lower bound of minimal time evolution in quantum mechanics
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Faster than Hermitian Quantum Mechanics
• On optimum Hamiltonians for state transformations
• The quantum brachistochrone problem for non-Hermitian Hamiltonians
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• On the pseudo-Hermitian nondiagonalizable Hamiltonians

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