Note on coherent states and adiabatic connections, curvatures

DOI10.1063/1.533350zbMath1032.81519arXivquant-ph/9910069OpenAlexW3105637023MaRDI QIDQ2738049

Kazuyuki Fujii

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9910069

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of global differential geometry to the sciences (53C80) Coherent states (81R30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (10)

Conceptual aspects of geometric quantum computation ⋮ Geometric quantization of mechanical systems with time-dependent parameters ⋮ Optimization algorithms on the Grassmann manifold with application to matrix eigenvalue problems ⋮ Exact solutions of the isoholonomic problem and the optimal control problem in holonomic quantum computation ⋮ Exact solutions of holonomic quantum computation ⋮ Geometric methods for construction of quantum gates ⋮ Basic properties of coherent-squeezed states revisited ⋮ UNIVERSAL YANG–MILLS ACTION ON FOUR-DIMENSIONAL MANIFOLDS ⋮ Control aspects of holonomic quantum computation ⋮ Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Cites Work

• Unnamed Item
• Holonomic quantum computation
• Fault-tolerant quantum computation by anyons
• Time-dependent Schrödinger equations having isomorphic symmetry algebras. II. Symmetry algebras, coherent and squeezed states
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Solutions of A∞ Toda equations based on noncompact group SU(1,1) and infinite-dimensional Grassmann manifolds

This page was built for publication: Note on coherent states and adiabatic connections, curvatures