The significance of theC-numerical range and the localC-numerical range in quantum control and quantum information
From MaRDI portal
Publication:5443471
DOI10.1080/03081080701544114zbMath1134.81018arXivmath-ph/0701035OpenAlexW3099578559MaRDI QIDQ5443471
Gunther Dirr, Steffen J. Glaser, Uwe R. Helmke, Th. Schulte-Herbrüggen
Publication date: 21 February 2008
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0701035
Related Items
Numerical ranges of tensors, Product numerical range in a space with tensor product structure, An approach to constructing genuinely entangled subspaces of maximal dimension, Joint numerical ranges, quantum maps, and joint numerical shadows, The generalized numerical range of a set of matrices, The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities, On the \(C\)-determinantal range for special classes of matrices, Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups, When is the numerical range of a nilpotent matrix circular?, Lie-semigroup structures for reachability and control of open quantum systems: Kossakowski-Lindblad generators form Lie wedge to Markovian channels, GRADIENT FLOWS FOR OPTIMIZATION IN QUANTUM INFORMATION AND QUANTUM DYNAMICS: FOUNDATIONS AND APPLICATIONS, On the numerical ranges of matrix products, RelativeC-numerical ranges for applications in quantum control and quantum information, Local Numerical Range for a Class of 2 ⊗ d Hermitian Operators, The \(c\)-numerical range of operator products on \({\mathcal{B}}(H)\), The C-Numerical Range in Infinite Dimensions, Restricted numerical range: A versatile tool in the theory of quantum information
Cites Work
- Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range
- Elementary inclusion relations for generalized numerical ranges
- The Lie algebra structure and controllability of spin systems
- Gradient flows computing the C-numerical range with applications in NMR spectroscopy
- The quantum query complexity of the hidden subgroup problem is polynomial
- Control systems on Lie groups
- TheC-numerical range of matrices is star-shaped
- Some Results on the Numerical Range of a Derivation
- On thekth matrix numerical range
- Quantum algorithms and the Fourier transform
- Quantum algorithms revisited
- C-numerical ranges andC-numerical radii
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- RelativeC-numerical ranges for applications in quantum control and quantum information
- A Lower Bound on the C-Numerical Radius of Nilpotent Matrices Appearing in Coherent Spectroscopy
- Spin Echoes
- Induced operators on symmetry classes of tensors