First order sensitivity analysis of symplectic eigenvalues
From MaRDI portal
Publication:2197212
DOI10.1016/j.laa.2020.07.003zbMath1447.15006arXiv2007.10572OpenAlexW3040902233MaRDI QIDQ2197212
Publication date: 28 August 2020
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.10572
Clarke subdifferentialpositive definite matrixdirectional derivativeMichel-Penot subdifferentialFenchel subdifferentialsymplectic eigenvalue
Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Continuity and differentiation questions (26B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic dilations, Gaussian states and Gaussian channels
- Gaussian quantum marginal problem
- On the subdifferentiability of the difference of two functions and local minimization
- The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix
- Sensitivity analysis of all eigenvalues of a symmetric matrix
- Continuous subdifferential approximations and their applications
- Convex analysis and nonlinear optimization. Theory and examples
- Quantum harmonic oscillator systems with disorder
- Perturbation bounds for Williamson's symplectic normal form
- Symplectic geometry and quantum mechanics
- On symplectic eigenvalues of positive definite matrices
- Mordukhovich subdifferential of pointwise minimum of approximate convex functions
- Generic Differentiability of Lipschitzian Functions
- Pedagogical introduction to the entropy of entanglement for Gaussian states
- Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems
- Derivatives of symplectic eigenvalues and a Lidskii type theorem
- The conditional entropy power inequality for Gaussian quantum states
- Continuous Variable Quantum Information: Gaussian States and Beyond
- Second-order directional derivatives of all eigenvalues of a symmetric matrix
This page was built for publication: First order sensitivity analysis of symplectic eigenvalues